Bibliography database list for Endre Süli

Books

1. Ron DeVore, Arieh Iserles and Endre Süli (Eds.). Foundations of Computational Mathematics, Oxford 1999. Cambridge University Press, 2001.
2. David Sloan, Endre Süli and Stefan Vandewalle (Eds.). Numerical Analysis 2000, Vol. 7: Partial Differential Equations. Elsevier, 2001.
3. Endre Süli and David F. Mayers. An Introduction to Numerical Analysis. Cambridge University Press. August 2003. ISBN: 0521007941. Second Printing, 2006.
4. Rolf Rannacher, Rüdiger Verfürth and Endre Süli (Eds.). Self-adaptive methods for PDE. Oberwolfach Reports. Vol. 1, no. 2, (2004), 829--872.
5. Felipe Cucker, Ron DeVore, Peter Olver and Endre Süli (Eds.). Foundations of Computational Mathematics, Minneapolis 2002. Cambridge University Press, 2004.
6. Luis-Miguel Pardo, Allan Pinkus, Endre Süli and Michael Todd (Eds.). Foundations of Computational Mathematics, Santander 2005. Cambridge University Press, 2006.
7. John W. Barrett, David Knezevic and Endre Süli. Kinetic Models of Dilute Polymers: Analysis, Approximation and Computation. Nečas Center for Mathematical Modeling, Prague, 2009. Download.
8. Boško Jovanović and Endre Süli. Analysis of Finite Difference Schemes for Linear Partial Differential Equations with Generalized Solutions. Springer Series in Computational Mathematics, 46. Springer, London, 2014. DOI: 10.1007/978-1-4471-5460-0. Print ISBN: 978-1-4471-5459-4. Online ISBN: 978-1-4471-5460-0. Download.
9. Stephan Dahlke, Gitta Kutyniok, Rob Stevenson and Endre Süli. New Discretization Methods for the Numerical Approximation of PDEs. Oberwolfach Reports. Vol. 12, no. 1, (2015), 87--158. Alternative: Download.
10. Josef Málek and Endre Süli (Editors) Modeling Biomaterials. Nečas Center Series. Springer Nature Switzerland, 2021.

Research articles in refereed journals

11. E Süli. Galerkin method for operator differential equations with Lipschitz continuous coefficients. Matematicki Vesnik, 3(16):343-349, 1979. Download.
12. E Süli. On the convergence of the Tikhonov--Samarskii difference scheme. Matematicki Vesnik, 5(3):315-325, 1981. Download.
13. L D Ivanović, B S Jovanović, and E Süli. On the rate of convergence of difference schemes for the heat transfer equation on solutions from W^{s,s/2}_{2}. Matematicki Vesnik, 36(3):206-212, 1984. Download.
14. E Süli, B S Jovanović, and L D Ivanović. On the construction of finite difference schemes approximating generalised solutions. Publications de l'Institut Mathematique. Nouvelle Serie. (Beograd), 37(51):123-128, 1985. Download.
15. B S Jovanovich, L D Ivanovich, and E Süli. Convergence of difference schemes for the equation -\Delta u+cu=f on generalised solutions from W^s_{2,\ast};(-\infty<s<+\infty). Publications de l'Institut Mathematique. Nouvelle Serie. (Belgrade), 37(51):129-138, 1985. Download.
16. E Süli, B S Jovanović, and L D Ivanović. Finite difference approximations of generalised solutions. Mathematics of Computation, 45(172):319-327, 1985. Download.
17. L D Ivanović and E Süli. Approximation and regularization of an optimal control problem for the linearised Navier-Stokes equations. Zeitschrift fur Angewandte Mathematik und Mechanik.Igenieurwissenschaftliche, 66(5):306-308, 1986. Download.
18. L D Ivanovich, B S Iovanovich, and E Süli. Convergence of difference schemes for the biharmonic equation. Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 26(5):776-799, 1986. Download.
19. B S Jovanović, L D Ivanović, and E Süli. Sur la convergence des schemas aux differences finies pour léquation des ondes. Zeitschrift fur Angewandte Mathematik und Mechanik. Igenieurwissenschaftliche, 66(5):308-309, 1986. Download.
20. B S Jovanović, E Süli, and L D Ivanović. On finite difference schemes of high order accuracy for elliptic equations with mixed derivatives. Matematicki Vesnik, 38(2):131-136, 1986. Download.
21. B S Jovanović, L D Ivanović, and E Süli. Convergence of a finite-difference scheme for second-order hyperbolic equations with variable coefficients. IMA Journal of Numerical Analysis, 7(1):39-45, Jan 1987. Download.
22. B S Jovanović, L D Ivanović, and E Süli. Convergence of finite-difference schemes for elliptic equations with variable coefficients. IMA Journal of Numerical Analysis, 7(3):301-5, Jul 1987. Download.
23. B C M Butler and E Süli. Periclase-Spinel compositions: a thermometer for magnesia-chromite refractories. British Ceramic, Transactions and Journal, 87:14-16, 1988. Weblink.
24. E Süli. Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations. Numerische Mathematik, 53:459-483, 1988. Download.
25. M F Webster, E Süli, and K W Morton. Numerical case study of a non-Newtonian flow problem. International Journal for Numerical Methods in Engineering, 26:695-704, 1988. Download.
26. K W Morton, A Priestley, and E. Süli. Convergence of the Lagrange-Galerkin method with non-exact integration. Mathematical Modelling and Numerical Analysis, (MMAN) 22(4):625-653, 1988. Available from NUMDAM.
27. K W Morton and E Süli. Finite volume methods and their analysis. IMA Journal of Numerical Analysis, 11:241-260, 1991. Download.
28. E Süli. Convergence of finite volume schemes for Poisson's equation on non-uniform meshes. SIAM Journal on Numerical Analysis, 28(5):1419-1430, 1991. Download.
29. E Süli and A Ware. A spectral method of characteristics for hyperbolic problems. SIAM Journal on Numerical Analysis, 28(2):423-445, 1991. Download.
30. Y Tourigny and E Süli. The finite element method with nodes moving along the characteristics for convection-diffusion equations. Numerische Mathematik, 59:399-412, 1991. Download.
31. K W Morton, T Murdoch and E Süli. Optimal error estimation for Petrov-Galerkin methods in two dimensions. Numerische Mathematik, 61:359-372, 1992. Download.
32. E Süli. The accuracy of cell vertex finite volume methods on quadrilateral meshes. Mathematics of Computation, 59(200):359-382, 1992. Download.
33. P Lin, K W Morton and E Süli. Euler characteristic Galerkin scheme with recovery. Mathematical Modelling and Numerical Analysis, (MMAN), 27(7):863-894, 1993. Available from NUMDAM or EUDML.
34. P Monk and E Süli. Error estimates for Yee's method on non-uniform grids. IEEE Journal on Magnetics, 30(5): 3200-3203, 1994. Download.
35. P Monk and E Süli. A convergence analysis of Yee's scheme on non-uniform grids. SIAM Journal on Numerical Analysis, 31(2):393-412, 1994. Download.
36. K W Morton and E Süli. Evolution-Galerkin methods and their supraconvergence. Numerische Mathematik, 71(3):331-355, 1995. Download.
37. A T Hill and E Süli. Dynamics of a nonlinear convection-diffusion equation in multidimensional domains. Proceedings of the Royal Society of Edinburgh, 125(2):439-448, 1995. Download.
38. A T Hill and E Süli. Upper semicontinuity of attractors for linear multistep methods approximating sectorial evolution equations. Mathematics of Computation, (64):1097-1122, 1995. Download.
39. T Sonar and E Süli. A Dual Graph-norm Refinement Indicator for Finite Volume Approximations of the Euler Equations. Zeitschrift für Angewandte Mathematik und Mechanik 76, Suppl. 2. ICIAM/GAMM 95, 361-364, 1996. Download.
40. M E Schonbek, T P Schonbek, and E Süli. Large-time behaviour of solutions to the magneto-hydrodynamics equations. Mathematische Annalen, (304):717-756, 1996. Download.
41. A T Hill and E Süli. Set convergence for discretisations of the attractor. IMA Journal of Numerical Analysis, (16):289-296, 1996. Download.
42. A Borzí, K W Morton, E Süli, and M Vanmaele. Multilevel solution of cell vertex Cauchy-Riemann equations. SIAM Journal on Scientific Computing, 18(2):441-459, 1997. Download.
43. P Lin, K W Morton, and E Süli. Characteristic Galerkin schemes for conservation laws in two and three space dimensions. SIAM Journal on Numerical Analysis, 34(2):779-796, 1997. Download.
44. P Balland and E Süli, Analysis of the cell vertex finite volume method for hyperbolic problems with variable coefficients. SIAM Journal on Numerical Analysis, 34(3):1127-1151, 1997. Download.
45. M Vanmaele, K W Morton, E Süli and A Borzí. Analysis of the cell vertex finite volume method for the Cauchy-Riemann equations. SIAM Journal on Numerical Analysis, 34(5):2043-2062, 1997. Download.
46. K W Morton, M Stynes, and E Süli. Analysis of a cell-vertex finite volume method for convection-diffusion problems. Mathematics of Computation, 66(22):1389-1406, 1997. Download.
47. T Sonar and E Süli. A dual graph norm refinement indicator for the compressible Euler equations. Numerische Mathematik, 78(4):619-658, 1998. Download.
48. P Monk and E Süli. The adaptive computation of far field patterns by a posteriori error estimates of linear functionals. SIAM Journal on Numerical Analysis, 36(1):251-274, 1998. Download.
49. P Houston, J Mackenzie, E Süli, and G Warnecke. A posteriori error analysis for numerical approximations of Friedrichs systems. Numerische Mathematik, 82 (1999) 3, 409-432. Download.
50. N Jackson, E Süli, and S Howison. Computation of Deterministic Volatility Surfaces. Journal of Mathematical Finance, 2(2), Winter 1998/99: 5-32. Download.
51. F Brezzi, T J R Hughes, D Marini, A Russo, and E Süli. A priori error analysis of a finite element method with residual-free bubbles for advection dominated equations. SIAM Journal on Numerical Analysis. 36 (1999) 6, 1933-1948. Download.
52. M D Baker, E Süli and A F Ware. Stability and convergence of the spectral Lagrange-Galerkin method for periodic and non-periodic convection-dominated diffusion problems. IMA Journal of Numerical Analysis. 19(4), 637--663, 1999. Download.
53. F Brezzi, D Marini, and E Süli. Residual-free bubbles for advection-diffusion problems: the general error analysis. Numerische Mathematik. 85 (2000) 1, 31-47. Download.
54. A T Hill and E Süli. Approximation of the global attractor for the incompressible Navier–Stokes equations. Navier-Stokes equations in two space dimensions. IMA Journal of Numerical Analysis. Vol.20, No.4, pp.633-667, 2000. Download.
55. P Houston, C Schwab, and E Süli. Stabilised hp-finite element approximations of hyperbolic problems. SIAM Journal on Numerical Analysis. Vol 37, No 5. pp.1618--1643, 2000. Download.
56. P Houston, R Rannacher, and E Süli. A posteriori error analysis for stabilised finite element approximations of transport problems. Computer Methods in Applied Mechanics and Engineering. Vol. 190/11-12, pp.1483-1508, 2000. Download.
57. K Harriman, D J Gavaghan, P Houston, and E Süli. Adaptive finite element simulation of currents at microelectrodes to guaranteed accuracy. Application to a simple model problem. Electrochemistry Communications. Vol.2, No.3, pp.150-156 (2000). Download.
58. K Harriman, D J Gavaghan, P Houston, and E Süli. Adaptive finite element simulation of currents at microelectrodes to guaranteed accuracy. Theory. Electrochemistry Communications. Vol.2, No.3, pp.157-162 (2000). Download.
59. K Harriman, D J Gavaghan, P Houston, and E Süli. Adaptive finite element simulation of currents at microelectrides to guaranteed accuracy. First order EC' mechanism at inlaid and recessed discs. Electrochemistry Communications. Vol.2, No.3, pp.163-170 (2000). Download.
60. K Harriman, D J Gavaghan, P Houston, and E Süli. Adaptive Finite Element Simulation of Currents at Microelectrodes to a Guaranteed Accuracy. An E Reaction at a Channel Microband Electrode. Electrochemistry Communications. Vol.2, No.8, pp.567-575 (2000). Download.
61. K Harriman, D J Gavaghan, P Houston, D Kay and E Süli. Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC2E mechanisms at channel microband electrodes. Electrochemistry Communications. Vol.2, No.8, pp.576-585 (2000). Download.
62. F Brezzi, P Houston, D Marini, and E Süli. Modeling Subgrid Viscosity for Advection-Diffusion Problems. Computer Methods in Applied Mechanics and Engineering. Vol. 190/13-14, pp.1601-1610, 2000. Download.
63. M E Schonbek and E Süli. Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Nonlinear Analysis: Theory, Methods and Applications. Vol.45, No.5, pp.515-528, 2001. Download.
64. P Houston and E Süli. Adaptive Lagrange-Galerkin methods for unsteady convection-dominated diffusion problems. Mathematics of Computation. Volume 70, No 233, pp.77--106, 2001. Download.
65. B Cano, A M Stuart, E Süli, and J O Warren. Stiff oscillatory systems, delta jumps and white noise. Foundations of Computational Mathematics. Vol. 1: 69-100 (2001). Download.
66. P Houston and E Süli. Stabilized hp-finite element approximation of partial differential equations with non-negative characteristic form. Computing.66(2):99-119, 2001. Download.
67. P Houston and E Süli. hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. SIAM Journal on Scientific Computing, 23(4):1225-1251, 2001. Download.
68. F Brezzi, T J R Hughes, and E Süli. Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 12 (2001), 159--166 (2002). Download.
69. P Houston, C Schwab, and E Süli. Discontinuous hp-finite element methods for advection-diffusion-reaction problems. SIAM Journal of Numerical Analysis. Vol.39, Number 6, pp.2133-2163, 2002. Download.
70. E Süli, P Houston, and B Senior. hp-Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity. International Journal for Numerical Methods in Fluids. Volume 40, Issue 1-2, 153-169, 2002. Download.
71. P Houston, M. Jensen, and E. Süli. hp-Version Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. Journal of Scientific Computation. Vol. 17(1):3-25, 2002. Download.
72. P Houston and E Süli. Adaptive Finite Element Approximation of Hyperbolic Problems. In T. Barth and H. Deconinck, editors, Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics. Springer-Verlag, Heidelberg, Lecture Notes in Computational Science and Engineering Vol. 25, Aug/Sept 2002, pp. 269-344. Download or Download.
73. M B Giles and E Süli. Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality. Acta Numerica, Vol. 11, 145--236, Cambridge University Press, 2002. DOI: 10.2277/0521818761. Download.
74. B Cockburn, M Luskin, C-W Shu, and E Süli. Enhanced accuracy by post-processing for finite element method for hyperbolic equations. Mathematics of Computation. 72 (2003), 577-606. Download.
75. K Harriman, D J Gavaghan and E Süli. Adaptive finite element simulation of chronoamperometry at microdisc electrodes. Electrochemistry Communications, Volume 5, Pages 519-529, 2003. Download.
76. I Mozolevski and E. Süli. A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation. Computational Methods in Applied Mathematics, Volume 3, No.4, pp.596-607, 2003. Download.
77. M B Giles, N Pierce and E Süli. Progress in adjoint error correction for integral functionals. Computing and Visualization in Science [Comput. Vis. Sci.] 6 (2004), no. 2-3, 113--121. Download.
78. K Harriman, D J Gavaghan, and E Süli. Time-dependent EC', ECE and EC2E mechanisms at microdisc electrodes: simulations using adaptive finite element methods. Journal of Electroanalytical Chemistry, Vol.569, No.1, pp.35-46 (2004). Download.
79. K Harriman, D.J. Gavaghan, and E. Süli. Simulation of linear sweep voltametry using an adaptive finite element algorithm. Journal of Electroanalytical Chemistry, Vol. 573, No. 1, pp.169-174, 2004. Download.
80. F Brezzi, L D Marini, and E Süli. Discontinuous Galerkin methods for first-order hyperbolic problems. M3AS: Mathematical Models and Methods in Applied Sciences. 14(12), 1893--1903, 2004. Download.
81. P Houston and E Süli. A note on the design of hp-adaptive finite element methods for elliptic partial differential equations. Computer Methods in Applied Mechanics and Engineering. 194(2-5):229-243, 2005, Selected papers from the 11th Conference on The Mathematics of Finite Elements and Applications - Edited by J. Whiteman, L. Demkowicz, 2005. Download.
82. E H Georgoulis and E Süli. Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method. IMA Journal of Numerical Analysis, Vol 25(1), 205-220, 2005. Download.
83. C Bernardi and E Süli. Time and space adaptivity for the second-order wave equation. M3AS: Mathematical Models and Methods in Applied Sciences, 3(15) 2005. Download.
84. A Cangiani and E Süli. Enhanced residual-free-bubble finite element method. International Journal for Numerical Methods in Fluids. Volume 47, Issue 10-11, Date: 10 - 20 April 2005, Pages: 1307-1313, 2005. Download.
85. J W Barrett, C Schwab and E Süli. Existence of global weak solutions for some polymeric flow models. M3AS: Mathematical Models and Methods in Applied Sciences, 6(15), 939-983, 2005. Download.
86. A Cangiani and E Süli. Enhanced RFB method. Numerische Mathematik. Vol 101(2), 251-308, 2005. Download.
87. P Houston, J A Robson, and E Süli. Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I. IMA Journal of Numerical Analysis, 25(4), 726-749 (2005). Download.
88. F Brezzi, B Cockburn, D M Marini, and E Süli. Stabilization mechanisms in discontinuous Galerkin finite element methods. Computer Methods in Applied Mechanics and Engineering. Volume 195, Issues 25-28, pp. 3293-3310, 2006. Download.
89. K Gillow, D J Gavaghan, and E Süli. Computation of currents at microelectrodes using hp-DGFEM. Journal of Electroanalytical Chemistry, Vol.587, No.1, pp.1-17 (2006). Download.
90. K Gillow, D J Gavaghan, and E Süli. Finite element solution of a membrane covered electrode problem. Journal of Electroanalytical Chemistry, Vol.587, No.1, pp.18-24 (2006). Download.
91. I Drobnjak, D J Gavaghan, E Süli, J Pitt-Francis, and M Jenkinson. Development of an FMRI simulator for modelling realistic rigid-body motion artifacts. Magnetic Resonance in Medicine, Vol.56, Issue 2, pp.364-380, 2006. Download.
92. I Mozolevski, E Süli, and P Bösing. hp-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation. Journal of Scientific Computing. (Published online, 20 June, 2006), Volume 30, Number 3, March 2007, pp. 465-491. Download.
93. I Mozolevski, E Süli, and P Bösing. Discontinuous Galerkin finite element approximation of the two-dimensional Navier--Stokes equations in stream-function formulation. Communications in Numerical Methods in Engineering. Volume 23, Issue 6, June 2007, pp. 447-459. DOI: 10.1002/cnm.944. Download.
94. D J Gavaghan, K Gillow, and E Süli. Adaptive Finite Element Methods in Electrochemistry. Langmuir, Vol.22, No.25, pp.10666-10682 (2006) Download.
95. V Jovanović, P Matus, E Süli, P Vabishchevich, and L Vulkov. Boško Jovanović---60. Comput. Methods Appl. Math. 6 (2006), no. 3, 235--238 (electronic). Download.
96. E Süli. A Gagliardo-Nirenberg inequality, with application to duality-based a posteriori error estimation in the L^1 norm. Kragujevac Journal of Mathematics, Vol.30, 2007. Download.
97. E Süli and I Mozolevski. hp-version interior penalty DGFEMs for the biharmonic equation. Computer Methods in Applied Mechanics and Engineering. Vol 196, Issues 13-16, 1 March 2007, pp.1851-1863. Download.
98. P Houston, T Wihler, and E Süli. A-posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic problems. IMA J Numer Anal (2008) 28 (2): 245-273. Published online: 28 July 2007. DOI: 10.1093/imanum/drm009. Download.
99. A Lasis and E Süli. hp-Version discontinuous Galerkin finite element method for semilinear parabolic problems. SIAM Journal on Numerical Analysis, 45(4):1544--1569, 2007. Published online: 8 August 2007. DOI: 10.1137/050642125. Download.
100. J W Barrett and E Süli. Existence of global weak solutions to some regularized kinetic models of dilute polymers. SIAM Multiscale Modelling and Simulation, Volume 6, Issue 2, pp. 506-546, June 2007. DOI: 10.1137/060666810. Download.
101. C Ortner and E Süli. Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems. SIAM Journal on Numerical Analysis, Volume 45, Issue 4, pp.1370-1397, July 2007. DOI: 10.1137/06067119X. Download.
102. A Cangiani and E Süli. The residual-free-bubble finite element method on anisotropic partitions. SIAM J. Numer. Anal., Vol.45, No. 4. Published online: 17 August 2007. DOI: 10.1137/060658011. Download.
103. S Berrone and E Süli. Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows. IMA Journal of Numerical Analysis. Published online 20 September 2007. (2008) 28(2):382-421; DOI:10.1093/imanum/drm017. Download.
104. C Ortner and E Süli. Analysis of the quasicontinuum method in one dimension. ESAIM: M2AN. Vol. 42, No. 1, Jan-Feb 2008, pp. 57-91, DOI: 10.1051/m2an:2007057. Download.
105. D Knezevic and E Süli. Finite element methods for deterministic simulation of polymeric fluids. Hungarian Journal of Applied Mathematics (Alkalmazott Matematikai Lapok), 26(1), 2009, 151-177. (In Hungarian). Download.
106. C Schwab, E Süli and R-A Todor. Sparse finite element approximation of high-dimensional transport-dominated diffusion problems. ESAIM: M2AN. Mathematical Modelling and Numerical Analysis, (Published Online: 30 July 2008. DOI: 10.1051/m2an:2008027). Vol. 42, No. 5, pp. 777-820, September-October 2008. Download.
107. J W Barrett and E Süli. Existence of global weak solutions to dumbbell models for dilute polymers with microscopic cut-off. M3AS: Mathematical Models and Methods in Applied Sciences. Vol. 18, No. 6, pp. 935-971, June 2008. DOI: 10.1142/S0218202508002917. Download.
108. J W Barrett and E Süli. Existence of global weak solutions to coupled Navier-Stokes-Fokker-Planck systems: a brief overview. Novi Sad Journal of Mathematics. Vol. 38, No. 3, 2008, pp. 1-14. Download.
109. T.K. Pogány and E Süli. Integral representation for Neumann series of Bessel functions. Proceedings of the American Mathematical Society. Vol. 137, No. 1, 2363-2368, 2009. DOI: 10.1090/S0002-9939-09-09796-2. Download.
110. D Knezevic and E Süli. Spectral Galerkin approximation of Fokker--Planck equations with unbounded drift. ESAIM: M2AN, 43(2009), 445-485. DOI: 10.1051/m2an:2008051. Download.
111. J W Barrett and E Süli. Numerical approximation of corotational dumbbell models for dilute polymers. IMA Journal of Numerical Analysis. Vol. 29, No 4, pp. 937-959, October 2009. DOI: 10.1093/imanum/drn022. Download.
112. D Kay, V Styles and E Süli. Discontinuous Galerkin finite element approximation of the Cahn-Hilliard equation with convection. SIAM J. Numer. Anal. Volume 47, Issue 4, pp. 2660-2685 (2009). DOI: 10.1137/08072676. Download.
113. D Knezevic and E Süli. A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model. ESAIM: M2AN. Vol.43, No.6, 2009, pp. 1117-1156. DOI: 10.1051/m2an/2009034. Download.
114. C J Larsen, C Ortner and E Süli. Existence of solutions to a regularized model of dynamic fracture. M3AS, Vol. 20, No. 7, 2010, pp.1021-1048. DOI: 10.1142/S0218202510004520. Download.
115. S Burke, C Ortner and E Süli. An adaptive finite element approximation of a variational model of brittle fracture. SIAM J. Numer. Anal., Vol. 48, No. 3. Published online 1 July 2010. DOI: 10.1137/080741033. Download.
116. B Langwallner, C Ortner and E Süli. Existence and convergence results for the Galerkin approximation of an electronic density functional. M3AS: Mathematical Models and Methods in Applied Sciences. 20(12), 2010 pp. 2237-2265 DOI: 10.1142/S021820251000491X. Download.
117. J W Barrett and E Süli. Existence of global weak solutions to Fokker-Planck and Navier-Stokes-Fokker-Planck equations in kinetic models of dilute polymers. Discrete and Continuous Dynamical Systems. Series S (DCDS-S). Volume 3, Number 3, 2010. DOI:10.3934/dcdss.2010.3.371. Download.
118. E Süli, L N Trefethen and A J Wathen. Bill Morton's 80th birthday conference. Math. Today (Southend-on-Sea) 46 (2010), no. 4, 174-175, 65-03.
119. N Condette, C Melcher and E Süli. Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth. Mathematics of Computation 80 (2011), 205-223. DOI: 10.1090/S0025-5718-10-02365-3. Download.
120. J W Barrett and E Süli. Finite element approximation of kinetic dilute polymer models with microscopic cut-off. ESAIM: M2AN 45 (2011) 39-89. DOI: 10.1051/m2an/2010030. Download.
121. J W Barrett and E Süli. Existence and equilibration of global weak solutions to kinetic models for dilute polymers I: finitely extensible nonlinear bead-spring chains. M3AS 21 (6), 1211-1289, 2011. DOI: 10.1142/S0218202511005313. Download. Alternatively: from arXiv [as arXiv:1004.1432] Download.
122. C Makridakis, C Ortner and E Süli. A priori error analysis of two force-based atomistic/continuum hybrid models of a periodic chain. Numerische Mathematik. Vol. 119. No. 1, 2011, pp. 83-121. DOI: 10.1007/s00211-011-0380-5. Download.
123. D Jankov, T K Pogány and E Süli. On the coefficients of Neumann series of Bessel functions. Journal of Mathematical Analysis and Applications. Volume 380, Issue 2, 15 August 2011, Pages 628-631, [DOI: 10.1016/j.jmaa.2011.02.065]. Corrigendum and Download.
124. R A Norton and E Süli. Finite element approximation of an H^1 gradient flow of a double-well potential with bending energy. IMA J. Numer. Anal. 32 (4), 2012, Pages 1635-1661. DOI No: 10.1093/imanum/drr045. Download.
125. J W Barrett and E Süli. Existence and equilibration of global weak solutions to kinetic models for dilute polymers II: Hookean-type bead-spring chains. M3AS. No. 05, Vol. 22, 2012. DOI: 10.1142/S0218202511500242. [84 pages] Download. Alternatively: from arXiv [as arXiv:1008.3052] Download.
126. C Makridakis, C Ortner and E Süli. Stress-based atomistic/continuuum coupling: a new variant of the quasicontinuum approximation. International Journal for Multiscale. Computational Engineering. 10(1), 51-64, 2012. DOI: 10.1615/IntJMultCompEng.2011002388. Download.
127. J W Barrett and E Süli. Reflections on Dubinskii's nonlinear compact embedding theorem. Publ. Inst. Math. (Belgrade) (N.S.) 91(105) (2012), 95-110. DOI: 10.2298/PIM1205095B. Download or Download.
128. L Figueroa and E Süli. Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators with unbounded drift. Foundations of Computational Mathematics. October 2012, Volume 12, Issue 5, pp 573-623. Published electronically, 2012. DOI: 10.1007/s10208-012-9122-z Download. or arXiv:1103.0726v1 [math.NA]. Download.
129. J W Barrett and E Süli. Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers. ESAIM: M2AN. 46 (2012) 949-978. DOI: DOI 10.1051/m2an/2011062. Download.
130. J W Barrett and E Süli. Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity. J. Differential Equations 253 (2012) 3610-3677. Download. Extended version available from arXiv:1112.4781 [math.AP]. Download.
131. B Langwallner, C Ortner and E Süli. Atomistic-to-continuum coupling: approximation of a one-dimensional toy model for density functional theory. SIAM Multiscale Modelling and Simulation. 11(1), 59-91 (33 pages), 2013. DOI:10.1137/110857787. Download. Also available from: arXiv:1112.0746 [math.NA] Download.
132. C Ortner and E Süli. A note on linear elliptic systems on $\R^d$. arXiv:1202.3970v1 [math.AP]. Download.
133. M Bulíček, J Málek and E Süli. Existence of global weak solutions to implicitly constituted kinetic models of incompressible dilute homogeneous polymers. Communications in Partial Differential Equations. Volume 38, Issue 5 (2013), 882-924. DOI: 10.1080/03605302.2012.742104. Download.
134. S Congreve, P Houston, E Süli, and T Wihler. Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: Strongly monotone quasi-Newtonian flows. IMA J Numer Anal (2013) 33 (4): 1386-1415. DOI: 10.1093/imanum/drs046. Published online on 28 March 2013 Download.
135. C Makridakis and E Süli. Finite element analysis of Cauchy-Born approximations to atomistic models. Archive for Rational Mechanics and Analysis. Volume 207, Issue 3 (2013), Page 813-843. DOI No: 10.1007/s00205-012-0582-8. Download.
136. S. Burke, C. Ortner, and E. Süli. An adaptive finite element approximation of a generalised Ambrosio-Tortorelli functional. Mathematical Models and Methods in the Applied Sciences (M3AS). Vol. 23, No. 09, pp. 1663-1697 (2013). DOI: 10.1142/S021820251350019X. Published online 18 February 2013. Download.
137. L Diening, C Kreuzer and E Süli. Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM J. Numer. Anal., 51(2), 984--1015. (32 pages). Published online: 21 March 2013. Download or Download or Download.
138. C Schwab and E Süli. Adaptive Galerkin approximation algorithms for Kolmogorov equations in infinite dimensions. Stochastic Partial Differential Equations: Analysis and Computations. Volume 1, Issue 1 (2013), Page 204-239. DOI: 10.1007/s40072-013-0002-6. Download.
139. I Smears and E Süli. Discontinuous Galerkin finite element approximation of non-divergence form elliptic equations with Cordes coefficients. SIAM J. Numer. Anal., 51(4), 2088–2106, 2013. Download or Download.
140. I Smears and E Süli. Discontinuous Galerkin finite element approximation of Hamilton--Jacobi--Bellman equations with Cordes coefficients. SIAM J. Numer. Anal., 52(2), 993--1016, 2014. Download or Download.
141. E Süli. Spectral approximation of the H^1 gradient flow of a multi-well potential with bending energy. Mathematical Communications, 19(3), 437-452, 2014. Download.
142. B Benešova, C Melcher and E Süli. An implicit midpoint spectral Galerkin approximation of nonlocal Cahn-Hilliard equations. SIAM J. Numer. Anal., 52 (2014), 1466-1496. Download or Download.
143. M Bulíček, J Málek, K R Rajagopal, and E Süli. On elastic solids with limiting small strain: modelling and analysis. EMS Surveys in Mathematical Sciences. Volume 1, Issue 2, 2014, pp. 283-332. DOI: 10.4171/EMSS/7. Available from: Download and Download.
144. M Bulíček, J Málek and E Süli. Analysis and approximation of a strain-limiting nonlinear model. Mathematics and Mechanics of Solids. January 2015, vol. 20, 1: pp. 92-118. doi:10.1177/1081286514545906. Download or Download.
145. A A Lee, A Münch and E Süli. Sharp interface limits of the Cahn-Hilliard equation with degenerate mobility. IFAC-PapersOnLine. Volume 48, Issue 1, 2015, Pages 401--402. Download.
146. A A Lee, A Münch and E Süli. Degenerate mobilities in phase field models are insufficient to capture surface diffusion. Applied Physics Letters, Volume 107, Issue 8, 081603 (2015); doi: 10.1063/1.4929696. Available from Download and arXiv:1505.06381 [cond-mat.soft]. Download.
147. W Dahmen, R DeVore, L Grasedyck, and E Süli. Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. J. Foundations of Computational Mathematics. 16(4), 2016, 813--874. doi:10.1007/s10208-015-9265 Available from: Download or from ArXiv:1407.6208 [math.NA] Download.
148. I Smears and E Süli. Discontinuous Galerkin finite element methods for time-dependent Hamilton--Jacobi--Bellman equations with Cordes coefficients. Numerische Mathematik. May 2016, Volume 133, Issue 1, pp. 141--176. DOI 10.1007/s00211-015-0741-6. Available from arXiv:1406.4839 [math.NA]. Download and Download.
149. T A Driscoll, E Süli and A Townsend (Editors). New Directions in Numerical Computation. Notices of the American Mathematical Society, 2016, Volume 63, Number 4, pp. 398--400. Available from Download.
150. J W Barrett and E Süli. Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers. M3AS: Mathematical Models and Methods in Applied Sciences. Vol. 26, No. 3 (2016) 469--568. DOI: 10.1142/S0218202516500093. Available from Download and from arXiv:1407.3763 [math.AP]. Download.
151. M Korzec, A Münch, E Süli and B Wagner. Anisotropy in wavelet based phase field models. Discrete and Continuous Dynamical Systems - B. pp.1167--1187, Volume 21, Issue 4, June 2016. DOI:10.3934/dcdsb.2016.21.1167. Download or Download.
152. C Kreuzer and E Süli. Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. ESAIM: Mathematical Modelling and Numerical Analysis. 50(5) (2016) 1333--1369. DOI: http://dx.doi.org/10.1051/m2an/2015085. Download. Also available from here or from arXiv:1503.05378 [math.NA]. Download or Download
153. A A Lee, A Münch and E Süli. Sharp interface limits of the Cahn-Hilliard equation with degenerate mobility. SIAM J. Appl. Math. 76 (2016), no. 2, 433–-456. DOI: 10.1137/140960189. Available from Download or from arXiv:1507.02410v1 [math-ph]. Download or Download.
154. A A Lee, A Münch and E Süli. Response to "Comment on 'Degenerate mobilities in phase field models are insufficient to capture surface diffusion'". [Appl. Phys. Lett., Vol. 108, 036101 (2016)], Appl. Phys. Lett. 108, 036102 (2016). DOI: 10.1063/1.4939931. Download.
155. J W Barrett and E Süli. Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case. J. Differential Equations, Volume 261, Issue 1, 5 July 2016, Pages 592–-626. DOI:10.1016/j.jde.2016.03.018. Download or Download.
156. M Bulíček, P Gwiazda, E Süli and A Świerczewska-Gwiazda. Analysis of a viscosity model for concentrated polymers. M3AS: Mathematical Models and Methods in Applied Sciences. Vol. 26, No. 7 (2016), 1599--1648. DOI: 10.1142/S0218202516500391. Available from Download or arXiv:1501.05766 [math.AP] Download or Download.
157. E Feireisl, Y Lu and E Süli. Dissipative weak solutions to compressible Navier--Stokes--Fokker--Planck systems with variable viscosity coefficients. J. Mathematical Analysis and Applications. Vol. 443, No. 1 (2016), pp. 322--351. DOI:10.1016/j.jmaa.2016.05.030. Available from Download or arXiv:1601.01156 [math.AP]. Download or Download.
158. L Beck, M Bulíček, J Málek, and E Süli. On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. Archive for Rational Mechanics and Analysis. Volume 225, Issue 2 (2017), pp. 717–769. DOI: 10.1007/s00205-017-1113-4. Download.
159. J W Barrett, Y Lu and E Süli. Existence of large-data finite energy global weak solutions to a compressible Oldroyd-B model. Communications in Mathematical Sciences. Volume 15, No. 5 (2017), pp. 1265--1323. DOI: http://dx.doi.org/10.4310/CMS.2017.v15.n5.a5. Available from arXiv:1608.04229 [math.AP] Download or Download.
160. C Reisinger, E Süli and A Whitley. A partial Fourier transform method for a class of hypoelliptic Kolmogorov equations. SIAM J. Numer. Anal. Vol. 55, No. 4 (2017), pp. 1867-–1891. DOI: https://doi.org/10.1137/16M1076654 Download. Extended version available from arXiv:1604.05268 [math.NA] Download. The abbreviated, journal version is available from here.]
161. B Cheng, E Süli and C Tronci. Existence of global weak solutions to a hybrid Vlasov-MHD model for magnetized plasmas. Proceedings of the London Mathematical Society. Vol. 115, No. 4 (2017), pp. 854–-896. DOI 10.1112/plms.12053. Download. Also available from arXiv:1606.09583 [math.AP] Download or Download.
162. F Rindler, S Schwarzacher and E Süli. Regularity and approximation of strong solutions to rate-independent systems. M3AS Mathematical Models and Methods in the Applied Sciences. Vol. 27, No. 13 (2017), pp.1--48. DOI: 10.1142/S0218202517500518. Available from Download or arXiv:1702.01427 [math.AP] Download.
163. J W Barrett and E Süli. Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids. Journal of Nonlinear Analysis, Series B: Real World Applications. Volume 36, February 2018, pp. 362-395. DOI: https://doi.org/10.1016/j.nonrwa.2017.07.012. Available from arXiv:1702.06502 [math.AP] Download or Download.
164. S Ko, P Pustejovska and E Süli. Finite element approximation of an incompressible chemically reacting non-Newtonian fluid. ESAIM M2AN, M2AN 52 (2018) 509–541. DOI: 10.1051/m2an/2017043. Available from Download or arXiv:1703.04766 [math.NA] Download.
165. J Málek, V Průša, T Skřivan, and E Süli. Thermodynamics of viscoelastic rate-type fluids with stress diffusion. Physics of Fluids, 30, 023101 (2018). DOI: https://doi.org/10.1063/1.5018172. Available from arXiv:1706.06277 [physics.flu-dyn] Download or Download or Download.
166. M Bulíček, J Málek, V Průša, and E Süli. PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion. Contemporary Mathematics, American Mathematical Society. Vol. 710, 25--52, 2018. DOI: http://dx.doi.org/10.1090/conm/710/14362. Available from Download and arXiv [math.AP] Download.
167. J W Barrett and E Süli. Existence of large-data global-in-time finite-energy weak solutions to a compressible FENE-P model. M3AS Mathematical Models and Methods in the Applied Sciences. Vol. 28, No. 10, pp. 1929-2000 (2018). DOI: https://doi.org/10.1142/S0218202518500471. Available from Download and Download.
168. E Süli and G Yahiaoui. McKean-Vlasov diffusion and the well-posedness of the Hookean bead-spring-chain model for dilute polymeric fluids: small-mass limit and equilibration in momentum space. (20 February 2018. 85 pages). Available from: Download or Download or arXiv:1802.06268 [math.AP] Download.
169. S Ko and E Süli. Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index. Mathematics of Computation. 88(317): 1061-1090 (2019). DOI: https://doi.org/10.1090/mcom/3379. Available from Download or from arXiv:1708.07830 [math.NA] Download.
170. N Gelmetti and E Süli. Spectral approximation of a strain-limiting nonlinear elastic model. Matematicki Vesnik. 71, 1-2 (2019), 63--89, March 2019. Download or Download.
171. A Bonito, V Girault, and E Süli. Finite element approximation of a strain-limiting elastic model. IMA Journal of Numerical Analysis. Volume 40, Issue 1, January 2020, Pages 29–86. DOI: https://doi.org/10.1093/imanum/dry065. Available from Download or from: arXiv:1805.04006 [math.NA] Download.
172. G Baird and E Süli. A mixed discrete-continuous fragmentation model. Journal of Mathematical Analysis and Applications, Volume 473, Issue 1, 1 May 2019, Pages 273-296. DOI: 10.1016/j.jmaa.2018.12.048. Download or from: arXiv:1804.04017 [math.NA] Download.
173. E Süli and T Tscherpel. Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids. IMA Journal of Numerical Analysis, Volume 30, Issue 2, April 2020, 801--849. DOI: https://doi.org/10.1093/imanum/dry097. Available from: arXiv:1804.02264 [math.NA]. Download or from Download.
174. D Gallistl and E Süli. Mixed finite element approximation of the Hamilton-Jacobi-Bellman equation with Cordes coefficients. SIAM J. Numer. Anal., Vol. 57, No. 2, pp. 592--614, 2019. DOI: 10.1137/18M1192299. Download or Download.
175. M Caddick and E Süli. Numerical approximation of Young-measure solutions to parabolic systems of forward-backward type. Applicable Analysis and Discrete Mathematics, 13(3), 649--696, 2019. DOI: https://doi.org/10.2298/AADM190325026C. Available from arXiv 1902.10187 [math.NA] from Download or from Download.
176. Stefan Müller, Florian Schweiger, and Endre Süli. Optimal order finite difference approximation of generalized solutions to the biharmonic equation in a cube. SIAM J. Numer. Anal. 58-1 (2020), pp. 298-329. DOI: https://doi.org/10.1137/19M1254313 Available from: arXiv 1904.02084 [math.NA] Download or Download.
177. Lj Oparnica and E Süli. Well-posedness of the fractional Zener wave equation for heterogenous viscoelastic materials. Fract. Calc. Appl. Anal. Vol. 23, No 1 (2020), pp. 126--166. DOI: https://doi.org/10.1515/fca-2020-0005. Available from: arXiv:1909.05337 [math.AP] Download.
178. P Farrell, A Gazca-Orozco, and E Süli. Numerical analysis of unsteady implicitly constituted incompressible fluids: three-field formulation. SIAM J. Numer. Anal. (58)1, 757--787. DOI: https://doi.org/10.1137/19M125738X. Preprint available from: arXiv 1904.09136 [math.NA] Download or from Download.
179. P F Antonietti, P Houston, G Pennesi, and E Süli. An agglomeration-based, massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Math. Comput. DOI: https://doi.org/10.1090/mcom/3510. (Accepted on 12 November 2019). Available from: arXiv 1903.11357 [math.NA] Download.
180. Y Capdeboscq, T Sprekeler, and E Süli. Finite element approximation of elliptic homogenization problems in nondivergence form. ESAIM: M2AN. Volume 54, Number 4, July-August 2020. Pages 1221--1257. DOI: https://doi.org/10.1051/m2an/2019093. Available from: arXiv 1905.11756 [math.NA] Download from Download or from Download.
181. E Süli and A Wróblewska-Kamińska. The incompressible limit of compressible finitely extensible nonlinear bead-spring chain models for dilute polymeric fluids. Journal of Differential Equations. Volume 269, Issue 6, 5 September 2020, Pages 5110--5141. DOI: https://doi.org/10.1016/j.jde.2020.04.006. Available from: arXiv:1906.04534 [math.AP] Download or from Download.
182. P Petersen and E Süli. Gamma-convergence of a shearlet-based Ginzburg--Landau energy. Applied and Computational Harmonic Analysis. Volume 49, Issue 3, November 2020, Pages 727-770. DOI: https://doi.org/10.1016/j.acha.2020.06.004. Published electronically on 19 June 2020. Available from: arXiv:1810.12835 [math.FA] Download or from Download.
183. M Dostalík, J Málek, V Průša, and E Süli. A simple approach to thermodynamically consistent modelling of non-isothermal flows of dilute compressible polymeric fluids. Fluids 2020, Volume 5, Issue 3, 29 pp.; DOI:10.3390/fluids5030133. Download.
184. M Bulíček, V Patel, Y. Şengül, and E Süli. Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body. Communications on Pure and Applied Analysis. May 2021, 20(5): 1931-1960. DOI: 10.3934/cpaa.2021053. Available from: Download or arXiv:2011.07490 [math.AP] Download or from Download.
185. D Mitsotakis, H Ranocha, D I Ketcheson, and E Süli. A conservative fully-discrete numerical method for the regularised shallow water wave equations. SIAM J. Sci. Comput., 43(2), B508–B537. (30 pages), 2021. Available from Download or Download or from Download.
186. G Baird and E Süli. A finite volume scheme for the solution of a mixed discrete-continuous fragmentation problem. ESAIM: M2AN. Volume 55, Number 3, May-June 2021, pp. 1067--1101. DOI: http://doi.org/10.1051/m2an/2020088. Available from Download.
187. L Diening, T Scharle, and E. Süli. Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations. IMA Journal of Numerical Analysis, Volume 41, Issue 3, July 2021, Pages 1846--1898. DOI: https://doi.org/10.1093/imanum/drab029. Available from Download or arXiv:2004.09341 [math.NA] Download or Download or from Download.
188. D Gallistl, T Sprekeler, and E Süli. Mixed finite element approximation of periodic Hamilton--Jacobi--Bellman problems with application to numerical homogenization. SIAM Multiscale Model.Simul. 19(2), 10410--1065. DOI: https://doi.org/10.1137/20M1371397. (Published online: 16 June 2021). Available from: arXiv:2010.01647 [math.NA] Download or from Download or from Download.
189. M Bulíček, J Málek, V Průša, and E Süli. On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response. SIAM J. Math. Anal., 53(4), 3985–4030. (46 pages), 2021. DOI: https://doi.org/10.1137/20M1384452. (Published online: 15 July 2021). Available from Download or from Download.
190. A Bonito, V Girault, D Guignard, K Rajagopal, and E Süli. Finite element approximation of steady flows of colloidal solutions. ESAIM M2AN, Vol. 55, No. 5, September-October 2021, pp. 1963--2011. DOI: https://doi.org/10.1051/m2an/2021043. Available from Download.
191. P E Farrell, P A Gazca-Orozco, E Süli. Finite element approximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow. Mathematics of Computation, Volume 91, Number 334, March 2022, pp. 659–697. DOI: https://doi.org/10.1090/mcom/3703. Available from Download or from arXiv:2011.03024 [math.NA] Download.
192. P Heid and E Süli. On the convergence rate of the Kačanov scheme for shear-thinning fluids. Calcolo (2022), 59:4. DOI: 10.1007/s10092-021-00444-3. Available from Download or from Download.
193. I P A Papadopoulos and E Süli. Numerical analysis of a topology optimization problem for Stokes flow. J. Computational and Applied Mathematics. Volume 412, 1 October 2022, 114295. 21pp. DOI: https://doi.org/10.1016/j.cam.2022.114295. Open access article, available from Download.
194. P Heid and E Süli. An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids. Applied Numerical Mathematics. Volume 181, 364--387, 2022. Available from arXiv:2109.05991 [math.NA] Download or from Download.
195. M Bulíček, V Patel, Y. Şengül, and E Süli. Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data. SIAM J. Math. Anal. Vol. 54, Iss. 6. (2022). DOI: https://doi.org/10.1137/21M14553. Download. Also available from: arXiv:2011.11683 [math.AP] Download or Download.
196. P A Gazca-Orozco, P Heid, and E Süli. Nonlinear iterative approximation of steady incompressible chemically reacting flows. Comptes Rendus Mecanique. 350(2): 1--25 (2022). DOI: 10.5802/crmeca.127. Available from Download.
197. Zh Qian, E Süli, and Y Zhang. Random vortex dynamics via functional stochastic differential equations. Proceedings of the Royal Society; Series A. October 2022, Volume 478, Issue 2266. DOI: https://doi.org/10.1098/rspa.2022.0030. Available from Download.
198. G Barrenechea and E Süli. Analysis of a stabilised finite element method for power-law fluids. Constructive Approximation, 57, pages 295--325 (2023). DOI: https://doi.org/10.1007/s00365-022-09591-4. Available from Download.
199. T Dębiec and E Süli. Corotational Hookean models of dilute polymeric fluids: existence of global weak solutions, weak-strong uniqueness, equilibration and macroscopic closure. SIAM J. Math. Anal. Vol. 55, Iss. 1 (2023). Download or Download.
200. C He and E Süli. Existence of large-data global weak solutions to kinetic models of nonhomogeneous dilute polymeric fluids. Kinetic and Related Models. 2024, Volume 17, Issue 1: 107-161. DOI: 10.3934/krm.2023018. (Published online on 27 April 2023). Available from arXiv:2202.06445 [math.AP] Download and Download.
201. J Beddrich, E Süli, and B Wohlmuth. Numerical simulation of the time-fractional Navier-Stokes-Fokker-Planck equation and applications to polymeric fluids. Journal of Computational Physics. Volume 497, 15 January 2024, 112598. Download.
202. M Fritz, E Süli, and B Wohlmuth. Analysis of a dilute polymer model with a time-fractional derivative. SIAM Journal on Mathematical Analysis. Vol. 56, Iss. 2 (2024), 2063--2089. Available from arXiv:2307.16606 [math.AP] Download and Dowload.
203. C Parker and E Süli. Stable lifting of polynomial traces on triangles. SIAM J. Numer. Anal. Vol. 62, Iss. 2 (2024), 692--717. DOI: https://doi.org/10.1137/23M156494. Available from arXiv:2304.13074 [math.NA] Download.
204. T Dębiec and E Süli. On a class of generalised solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids: existence and macroscopic closure. (Submitted for publication on 29 June 2023). Available from arXiv:2306.16901 [math.AP] Download.
205. C Parker and E Süli. Stable liftings of polynomial traces on tetrahedra. (Submitted for publication on 26 February 2024). Available from arXiv:2402.15789 [math.NA] Download.

Research articles in conference proceedings

206. L D Ivanović, B S Jovanović and E Süli. On the convergence of difference schemes for the Poisson equation. In IV Conference on Applied Mathematics, Split, 1984, pages 45-49. University of Split, 1985.
207. B S Jovanović, L D Ivanović and E Süli. On the convergence rate of difference schemes for the heat transfer equation. In IV Conference on Applied Mathematics, Split, 1984, pages 41-44, University of Split, 1985.
208. E Süli. Lagrange-Galerkin mixed finite element approximation of the Navier-Stokes equations. In Numerical methods for fluid dynamics, II (Reading, 1985), volume 7 of IMA Conference Series, pages 439-448, New York, 1986. Oxford University Press.
209. E Süli. Stability and convergence of the Lagrange-Galerkin method with non-exact integration. In J R Whiteman, editor, The Proceedings of the Conference on the Mathematics of Finite Elements and Applications, MAFELAP VI, pages 435-442. Academic Press, London, 1988.
210. E Süli and A Ware. The spectral method of characteristics and its application to the Navier-Stokes equations. In B S Jovanović, editor, The 6th Conference on Applied Mathematics, pages 213-218, 1988. University of Belgrade.
211. W Wu, E Süli and K W Morton. Optimal order error estimates for the linear Galerkin method for convection-diffusion problems. In J R Whiteman, editor, The mathematics of finite elements and applications, pages 594-595. Academic Press, London, 1988.
212. E Süli and A Ware. A spectral method of characteristics for the Navier-Stokes equations. In M. Rahman, editor, Ocean Waves, Mechanics, Computational Fluid Dynamics and Mathematical Modelling. Proceedings of the 11th Annual Conference of the Canadian Mathematical Society, Halifax, Nova Scotia, pages 603-610. CMS, 1990.
213. E Süli. The accuracy of finite volume methods on distorted partitions. In J R Whiteman, editor, The Proceedings of the Conference on The Mathematics of Finite Elements and Applications VII MAFELAP, pages 253-260. Academic Press, 1991.
214. E Süli and A Ware. Analysis of the spectral Lagrange-Galerkin method for the Navier-Stokes equations. In J G Heywood, K Masuda, R Rautmann and S A Solonnikov, editors, The Navier-Stokes equations II -- Theory and Numerical Methods, number 1530 in Lecture Notes in Mathematics, pages 184-195. Springer-Verlag, 1992. Proceedings, Oberwolfach 1991. Download.
215. K W Morton, E Süli and P Lin. Characteristic Galerkin methods for hyperbolic problems. In Andrea Donato and Francesco Oliveri, editors, Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Proceedings of the Fourth International Conference on Hyperbolic Problems, Taormina, Italy, April 1992, volume 43 of Notes on Numerical Fluid Mechanics, pages 430-439. Vieweg, 1993. Download.
216. J A Mackenzie, T Sonar and E Süli. Adaptive finite volume methods for hyperbolic problems. In J R Whiteman, editor, The Proceedings of the Conference on the Mathematics of Finite Elements and Applications MAFELAP VIII, pages 288-297. Wiley, 1994.
217. J A Mackenzie, E Süli and G Warnecke. A posteriori error estimates for the cell-vertex finite volume method. In Proceedings of the 9th GAMM-Seminar, Kiel, 1993, Notes on Numerical Fluid Mechanics, pages 221-235. Vieweg, 1994. Download.
218. K W Morton and E Süli. A posteriori and a priori error analysis of finite volume methods. In J R Whiteman, editor, The Proceedings of the Conference on the Mathematics of Finite Elements and Applications, MAFELAP VIII, pages 267-287. Wiley, 1994.
219. J Mackenzie and E Süli. Reliable error control for adaptive computations of the compressible Euler equations. Numerical methods for fluid dynamics, V (Oxford, 1995), 473--479, Oxford Sci. Publ., Oxford Univ. Press, New York, 1995. Download.
220. M E Schonbek, T P Schonbek, and E Süli. Decay results for solutions to the magneto-hydrodynamics equations. In Mathematical analysis of phenomena in fluid and plasma dynamics (Japanese) (Kyoto, 1994). Surikaisekikenkyusho Kokyuroku [Kyoto Univ., Research Institute for Mathematical Sciences, Kitashirakawa, Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan], No. 914 (1995), 98--102. Download.
221. E Süli. A posteriori error analysis and global error control for adaptive finite element approximations of hyperbolic problems. In D F Griffiths and G A Watson, editors. Numerical Analysis. Proceedings of the 16th Biennial Conference in Numerical Analysis, Dundee, June 1995, pp. 169-190, Pitman, 1996. Download.
222. A Borzí, K W Morton, E Süli, and M Vanmaele. A full multi-grid method for the solution of the cell vertex finite volume Cauchy-Riemann equations. In N D Melson, T A Manteuffel, S F McCormick and C C Douglas, editors, Seventh Copper Mountain Conference on Multigrid Methods, April 1995, pages 73-86. NASA, 1996. Download.
223. E Süli and P Houston. Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity. In I S Duff and G A Watson, editors, The State of the Art in Numerical Analysis, York, April, 1996, pp. 441-472, Oxford University Press, 1997. Download.
224. P Houston and E Süli. Local Mesh Design for Numerical Solution of Hyperbolic Problems. In M J Baines, editor, Numerical Methods for Fluid Dynamics VI, pages 17-30. ICFD Oxford, 1998.
225. E Süli. A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems. In: D. Kröner, M. Ohlberger and C Rohde (Eds.) An Introduction to Recent Developments in Theory and Numerics for Conservation Laws. Lecture Notes in Computational Science and Engineering. Volume 5, pages 123--194. Springer-Verlag, 2003. Download.
226. E Süli, C Schwab, and P Houston. hp-DGFEM for partial differential equations with nonnegative characteristic form. In: B. Cockburn, G. Karniadakis, and C.-W. Shu (Eds.) Discontinuous Galerkin Finite Element Methods. Lecture Notes in Computational Science and Engineering. Volume 11, pages 221-230. Springer-Verlag, 1999. Springer-Verlag's webpage.
227. M H Pham, M Rudgyard and E Süli. Bicharacteristic methods for multi-dimensional hyperbolic systems. In: E F Toro, editor. Godunov methods (Oxford, 1999), 691--698, Kluwer/Plenum, New York, 2001. Download.
228. B. Cockburn, M. Luskin, C.-W. Shu, and E Süli. Postprocessing of the discontinuous Galerkin finite element method. In: B. Cockburn, G. Karniadakis, and C.-W. Shu (Eds.) Discontinuous Galerkin Finite Element Methods. Lecture Notes in Computational Science and Engineering. Volume 11, pages 291-300. Springer-Verlag, 2000. Springer-Verlag's webpage.
229. E Süli, P Houston, and C Schwab. hp-Finite element methods for hyperbolic problems. In J R Whiteman, editor, The Proceedings of the Conference on the Mathematics of Finite Elements and Applications. MAFELAP X, June 1999. pp. 143-162, Elsevier, 2000.
230. R Hartmann, P Houston, and E Süli. Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic problems. In M J Baines, editor, Numerical Methods for Fluid Dynamics VII. ICFD, Oxford, pp. 347--353, 2001.
231. E Süli, P Houston, and B Senior. hp-Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity. In M J Baines, editor, Numerical Methods for Fluid Dynamics VII. ICFD, Oxford, pp. 73--86, 2001. Download.
232. E Süli and P Houston. Adaptive Finite Element Approximation of Hyperbolic Problems. In T. Barth and H. Deconinck, editors, Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics. Springer-Verlag, Heidelberg, Lecture Notes in Computational Science and Engineering Vol. 25, Aug/Sept 2002, pp. 269-344. Download.
233. P Houston, B Senior and E Süli. Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods. (ENUMATH 2001, European Conference on Numerical Mathematics and Applications, F. Brezzi, A. Murli et al. (eds.)), Springer-Verlag, 2003. Download.
234. K Harriman, P Houston, B Senior, and E Süli. hp-Version Discontinuous Galerkin Methods with Interior Penalty for Partial Differential Equations with Nonnegative Characteristic Form. In C.-W. Shu, T. Tang, and S.-Y. Cheng, editors, Recent Advances in Scientific Computing and Partial Differential Equations. Contemporary Mathematics Vol. 330, pp. 89-119, AMS, 2003. Download.
235. I Drobnjak, D Gavaghan, E Süli and M Jenkinson. Application of an FMRI simulator in modelling spin-history effects. In Proceedings of the 11th International conference for Functional Mapping of the Human Brain, Toronto (Canada), 2005.
236. A Arranz, N Petrinic and E Süli. Discontinuous element approximation for dynamical facture. VIII International Conference on Computational Plasticity. COMPLAS VIII. E. Onate and D R J Owen (Eds.), CIMNE Barcelona, 2005. Download.
237. P Johnson, N Petrinic and E Süli. Element splitting for simulation of fracture in 3D solid continua. VIII International Conference on Computational Plasticity. COMPLAS VIII. E Onate and D R J Owen (Eds.), CIMNE Barcelona, 2005. Download.
238. I Mozolevski, E Süli, P R Bösing. Discontinuous Galerkin finite element method for a fourth-order nonlinear elliptic equation related to the two-dimensional Navier-Stokes equation. ENUMATH 2005 (A. Bermudez (Ed.)), Springer-Verlag, 2006. Download.
239. E Süli. Finite element approximation of high-dimensional transport-dominated diffusion problems. (Foundations of Computational Mathematics 2005, Luis-Miguel Pardo, Allan Pinkus, Endre Süli, Michael Todd, editors). Cambridge University Press 2006, pp. 343-370. Download.
240. E Süli. Finite element algorithms for transport-diffusion problems: stability, adaptivity, tractability. Invited Lecture at the International Congress of Mathematicians, Madrid, 22-30 August 2006. Download.
241. C Schwab, E Süli and R-A Todor. Sparse finite element approximation of high-dimensional transport-dominated diffusion problems. Mathematisches Forschungsinstitut Oberwolfach. Extended Abstract in: Report 36-2007: Wavelet and Multiscale Methods (Organisers: Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, and Angela Kunoth, 29 July - 4 August 2007). Download.
242. P Antonietti and E Süli. Domain decomposition preconditioning for discontinuous Galerkin approximation of convection-diffusion problems. Proceedings of the 18th Domain Decomposition Conference. Jerusalem, Israel, 12-17 January 2008. In: Lecture Notes in Computational Science and Engineering (LNCSE). Editors: Michel Bercovier, Martin J. Gander, Ralf Kornhuber and Olof Widlund. Springer Verlag, pp. 259-266, 2009. Download. The cover page of the book is available from here.
243. D Knezevic and E Süli. A deterministic multiscale approach for simulating dilute polymeric fluids. Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008. In: Lecture Notes in Computational Mathematics and Engineering (LNCSE). Editors: Martin Stynes, Eugene O'Riordan, Natalia Kopteva and Alan Hegarty. Springer Verlag, 2009. DOI: 10.1007/978-3-642-00605-0_2. Download.
244. S Burke, C Ortner and E Süli. Adaptive finite element approximation of the Francfort-Marigo model of brittle fracture. Proceedings of the APNUM 2008 Conference. University of Nis, 25-29 August 2008. In: Approximation and Computation In Honor of Gradimir V. Milovanović. Springer Optimization and Its Applications, Vol. 42. Gautschi, Walter; Mastroianni, Giuseppe; Rassias, Themistocles M. (Eds.) 1st Edition., 2011, XXII, 484 p. 47 illus., 16 in color., Hardcover ISBN: 978-1-4419-6593-6. Download.
245. JW Barrett and E Süli. Existence and equilibration of global weak solutions to kinetic models of dilute polymers. Mathematisches Forschungsinstitut Oberwolfach. Extended Abstract in: Report 33-2010: Wavelet and Multiscale Methods (Organisers: Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, and Angela Kunoth, 1 - 7 August 2010). Download.
246. I Smears and E Süli. Analysis and approximation of Hamilton-Jacobi-Bellman equations with Cordes coefficients. Mathematisches Forschungsinstitut Oberwolfach. Extended Abstract in: Report 31-2013: Multiscale and High-Dimensional Problems (Organisers: Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, and Angela Kunoth, 28 July - 3 August 2013). Download.

Technical reports

247. E Süli. Convergence analysis of the Lagrange-Galerkin method for the Navier-Stokes equations. Technical Report NA-86/3, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1986.
248. E Süli. Mollifiers in function spaces. Technical Report NA-86/4, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1986.
249. K W Morton, A Priestley and E Süli. Stability analysis of the Lagrange-Galerkin method with non-exact integration. Technical Report NA-86/14, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1986.
250. M F Webster, E Süli and K W Morton. A numerical case study of a non-Newtonian flow problem. Technical Report 8/86, Numerical Analysis Group, University of Reading, 1986.
251. E Süli and R Jack. Convergence properties of the Lagrange-Galerkin method with and without exact integration. Technical Report NA-87/10, Numerical Analysis Group, University of Reading, 1987.
252. E Süli and A Ware. A spectral method of characteristics for first-order hyperbolic equations. Technical Report NA-88/6, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1988.
253. E Süli. Finite volume methods on distorted meshes: stability, accuracy, adaptivity. Technical Report NA-89/6, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1989.
254. Y Tourigny and E Süli. The finite element method with nodes moving along characteristics for convection diffusion equations. Technical Report NA-89/7, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1989.
255. E Süli and A Ware. The spectral Lagrange-Galerkin method for the Navier-Stokes equations: convergence and nonlinear stability. Technical Report NA-89/10, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1989.
256. E Süli. Convergence of finite volume schemes for Poisson's equation on non-uniform meshes. Technical Report NA-90/7, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1990.
257. K W Morton and E Süli. Finite volume methods and their analysis. Technical Report NA-90/14, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1990.
258. K W Morton, T Murdoch and E Süli. Optimal error estimation for Petrov-Galerkin methods in two dimensions. Technical Report NA-90/22, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1990.
259. P Lin, K W Morton and E Süli. Euler characteristic Galerkin scheme with recovery. Technical Report NA-91/8, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1991.
260. P Lin, K W Morton and E Süli. Characteristic Galerkin schemes for scalar conservation laws in two space dimensions I: formulation. Technical Report NA-92/1, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1992.
261. A T Hill and E Süli. Upper semicontinuity of attractors for linear multistep methods approximating sectorial evolution equations. Technical Report NA-92/8, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1992.
262. K W Morton and E Süli. Evolution-Galerkin methods and their supraconvergence. Technical Report NA-92/15, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1992.
263. P Monk and E Süli. A convergence analysis of Yee's scheme on non-uniform grids. Technical Report NA-92/17, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1992.
264. M E Schonbek, T P Schonbek and E Süli. Large-time behaviour of solutions to the magneto-hydrodynamics equations. Technical Report NA-92/18, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1992.
265. M D Baker, E Süli and A F Ware. Stability and convergence of the spectral Lagrange-Galerkin method for periodic and non-periodic convection-dominated diffusion problems. Technical Report NA-92/19, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1992.
266. A T Hill and E Süli. Dynamics of a nonlinear convection-diffusion equation in multidimensional bounded domains. Technical Report NA-93/6, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1993.
267. K W Morton and E Süli. A posteriori and a priori error analyis of finite volume methods. Technical Report. NA-93/5, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1993.
268. A T Hill and E Süli. Set convergence for discretisations of the attractor. Technical Report NA-93/8, Oxford University Computing Laboratory, 11 Keble Road, Oxford, OX1 3QD, 1993.
269. J A Mackenzie, E. Süli, and G. Warnecke. A posteriori error estimates for the cell-vertex finite volume method. Technical Report 93/15. University of Strathclyde, Glasgow, 1993.
270. P Balland and E Süli. Analysis of the cell vertex finite volume method for hyperbolic problems with variable coefficients. Technical Report NA-94/01, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1994.
271. M Vanmaele, K W Morton, E Süli and A Borzì. Analysis of the cell vertex finite volume method for the Cauchy-Riemann equations. Technical Report NA-94/5i, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1994.
272. K W Morton, M Stynes and E Süli. Analysis of a cell-vertex finite volume method for convection-diffusion problems. Technical Report NA-94/06, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1994.
273. A Borzì, K W Morton, E Süli and M Vanmaele. Multilevel solution of cell vertex Cauchy-Riemann equations. Technical Report NA-94/08, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1994.
274. T Sonar and E Süli. A dual graph-norm refinement indicator for finite volume approximations of the Euler equations. Technical Report NA-94/09, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1994.
275. T Sonar and E Süli. A dual graph norm refinement indicator for the DLR-tau-Code. Technical Report. DLR Report, Deutsche Forschungsanstalt für Luft- und Raumfahrt, Göttingen, 1994. (DLR Forschungsbericht 94-24, 1994).
276. J A Mackenzie, E Süli and G Warnecke. A posteriori analysis for Petrov-Galerkin approximation of Friedrichs systems. Technical Report NA-95/01, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1995.
277. E Süli. A posteriori error analysis and global error control for adaptive finite element approximations of hyperbolic problems. Technical Report NA-95/14 Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, 1995.
278. P Houston and E Süli. Adaptive Lagrange-Galerkin methods for unsteady convection-dominated diffusion problems. Technical Report NA-95/24, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1995.
279. P Lin, E Süli. Genuinely high-resolution conservative algorithms for two-dimensional advection. Technical Report. NA-95/25. Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1995.
280. P Houston and E Süli. On the design of an artificial diffusion model for the Lagrange-Galerkin method on unstructured triangular grids. Technical Report NA-96/07, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, 1996.
281. E Süli and P Houston. Finite element methods for hyperbolic problems: a posteriori analysis and adaptivity. Technical Report NA-96/09, Oxford University Computing Laboratory, 1996.
282. A T Hill and E Süli. Attractors for a second-order approximation of the incompressible Navier-Stokes equations in two space dimensions. Technical Report NA-96/22, Oxford University Computing Laboratory, 1996.
283. E Süli and C Wilkins. Adaptive finite element methods for the damped wave equation. Technical Report NA-96/23, Oxford University Computing Laboratory, 1996.
284. P Houston and E Süli. A posteriori error analysis for linear convection-diffusion problems under weak mesh regularity assumptions. Technical Report NA-97/03, Oxford University Computing Laboratory, 1997.
285. P Houston and E Süli. A posteriori error analysis for systems of nonlinear convection-diffusion equations. Technical Report NA-97/04, Oxford University Computing Laboratory, 1997.
286. N Jackson and E Süli. Adaptive finite element solutions of 1D European option pricing problems. Technical Report NA-97/05, Oxford University Computing Laboratory, 1997.
287. M B Giles, M G Larson, M Levenstam, and E Süli. Adaptive error control for finite element approximations of the lift and drag coefficients in a viscous flow. Technical Report NA-97/06. Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, 1997.
288. P Houston and E Süli. A posteriori error indicators for hyperbolic problems. Technical Report NA-97/14. Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, 1997.
289. E Süli. A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems. Technical Report NA-97/21, Oxford University Computing Laboratory, 1997.
290. N Jackson, E Süli, and S Howison. Computation of Deterministic Volatility Surfaces. Technical Report NA-98/01, Oxford University Computing Laboratory, 1998.
291. P Monk and E Süli. The adaptive computation of far field patterns by a posteriori error estimates of linear functionals. Technical Report NA-98/02, Oxford University Computing Laboratory, 1998.
292. M E Schonbek and E Süli. Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Technical Report NA-98/03, Oxford University Computing Laboratory, 1998.
293. F Brezzi, T J R Hughes, D Marini, A Russo, and E Süli. A priori error analysis of a finite element method with residual-free bubbles for advection dominated equations. Technical Report NA-98/07, Oxford University Computing Laboratory, 1998. [Also appeared as Report No. 19, 1997/98, ISSN 1103-467X, ISRN IML-R- -19-97/98- -SE; Mittag-Leffler Institute of the Royal Swedish Academy of Science, Stockholm, 1998.]
294. F Brezzi, D Marini, and E Süli. Residual-free bubbles for advection-diffusion problems: the general error analysis. Technical Report NA-98/11, Oxford University Computing Laboratory, 1998.
295. P Houston, C Schwab, and E Süli. Stabilised hp-finite element methods for first-order hyperbolic problems. Technical Report NA-98/14, Oxford University Computing Laboratory, 1998.
296. B. Cano, A.M. Stuart, E. Süli, and J.O. Warren. Stiff oscillatory systems, delta jumps and white noise. Technical Report NA-98/15, Oxford University Computing Laboratory, 1998.
297. E Süli, C Schwab, and P Houston. hp-DGFEM for partial differential equations with nonnegative characteristic form. NA-99/02 Oxford University Computing Laboratory, 1999.
298. P Houston, R Rannacher, and E Süli. A posteriori error analysis for stabilised finite element approximations of transport problems. Technical Report NA-99/04, Oxford University Computing Laboratory, 1999.
299. E Süli and C Wilkins. A priori analysis of the semi-discrete approximation to the nonlinear damped wave equation. Technical Report NA-99/09, Oxford University Computing Laboratory, 1999.
300. E Süli, P Houston, C Schwab. hp-Finite Element Methods for Hyperbolic Problems. Technical Report NA-99/11, Oxford University Computing Laboratory, 1999.
301. F Brezzi, P Houston, D Marini, and E Süli. Modeling Subgrid Viscosity for Advection--Diffusion Problems. Technical Report NA-99/14, Oxford University Computing Laboratory, 1999.
302. P Houston and E Süli. Stabilized hp-finite element approximation of partial differential equations with non-negative characteristic form. Technical Report NA-99/18, Oxford University Computing Laboratory, 1999.
303. K Harriman, D Gavaghan, P Houston, and E Süli. Adaptive Finite Element Simulation of Steady State Currents at Microdisc Electrodes to a Guaranteed Accuracy. NA-99/19, Oxford University Computing Laboratory, 1999.
304. B Cockburn, M Luskin, Ch-W Shu, and E Süli. Post-Processing of Galerkin Methods for Hyperbolic Problems. University of Minnesota Supercomputing Institute. Research Report UMSI 2000/34, March 2000.
305. K Harriman, D Gavaghan, P Houston, D Kay and E Süli. Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Application to channel microband electrodes. NA-00/09, Oxford University Computing Laboratory, 2000.
306. P Houston, C Schwab, and E Süli. Discontinuous hp-finite element methods for advection-diffusion problems. Technical Report NA-00/15, Oxford University Computing Laboratory, 2000.
307. P Houston and E Süli. hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Leicester University Technical Report, 2000/31, 2000. Download.
308. B. Cockburn, M. Luskin, C.-W. Shu, and E Süli. Enhanced accuracy by postprocessing of the discontinuous Galerkin finite element method. NA-01/03, Oxford University Computing Laboratory, 2001.
309. F Brezzi, T J R Hughes, and E Süli. Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. NA-01/04, Oxford University Computing Laboratory, 2001.
310. P Houston and E Süli. hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. NA-01/05, Oxford University Computing Laboratory, 2001.
311. R Hartmann, P Houston, and E Süli. Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic problems. NA-01/ 06, Oxford University Computing Laboratory, 2001.
312. E Süli, P Houston, and B Senior. hp-Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity. NA-01/ 07, Oxford University Computing Laboratory, 2001.
313. E Georgoulis and E Süli. hp-DGFEM on Shape-Irregular Meshes: Reaction-Diffusion Problems. NA-01/09, Oxford University Computing Laboratory, 2001.
314. P Houston and E Süli. Adaptive Finite Element Approximation of Hyperbolic Problems. NA-02/01, Oxford University Computing Laboratory, 2002.
315. P Houston, B Senior and E Süli. Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods. NA-02/02, Oxford University Computing Laboratory, 2002.
316. K Harriman, P Houston, B Senior, E Süli. hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. NA-02/21, Oxford University Computing Laboratory, 2002.
317. E H Georgoulis and E Süli. Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method. NA-03/06, Oxford University Computing Laboratory, 2003.
318. A Lasis and E Süli. Poincare-type inequalities for broken Sobolev spaces. NA-03/10, Oxford University Computing Laboratory, 2003.
319. A Lasis and E Süli. hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems. NA-03/11, Oxford University Computing Laboratory, 2003.
320. A Cangiani and E Süli. Enhanced RFB method. NA-03/17, Oxford University Computing Laboratory, 2003.
321. F Brezzi, L D Marini, and E Süli. Discontinuous Galerkin methods for first-order hyperbolic problems. NA-04/02, Oxford University Computing Laboratory, 2004.
322. I Mozolevski and E Süli. hp-version interior penalty DGFEMs for the biharmonic equation. NA-04/05, Oxford University Computing Laboratory, 2004.
323. C Bernardi and E Süli. Time and space adaptivity for the second-order wave equation. Publications du Laboratoire Jacques-Louis Lions. R 04022, April 2004. Download.
324. C Bernardi and E Süli. Time and space adaptivity for the second-order wave equation. NA-04/12, Oxford University Computing Laboratory, 2004.
325. J W Barrett, J A Robson, and E Süli. A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows. NA-04/13, Oxford University Computing Laboratory, 2004.
326. P Houston, J A Robson, and E Süli. Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. NA-04/14, Oxford University Computing Laboratory, 2004.
327. K Harriman, D Gavaghan, and E Süli. The importance of adjoint consistency in the approximation of linear functionals using the discontinuous Galerkin finite element method. NA-04/18, Oxford University Computing Laboratory, 2004.
328. K Harriman, D Gavaghan, and E Süli. Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method. NA-04/19, Oxford University Computing Laboratory, 2004.
329. K Harriman, D Gavaghan, and E Süli. Application of hpDGFEM to mechanisms at channel microband electrodes. NA-04/20, Oxford University Computing Laboratory, 2004.
330. K Harriman, D Gavaghan, and E Süli. Finite element solution of a membrane-covered electrode problem. NA-04/21, Oxford University Computing Laboratory, 2004.
331. J W Barrett, C Schwab and E Süli. Existence of global weak solutions for some polymeric flow models. NA-04/22, Oxford University Computing Laboratory, August 2004. Also available as an Isaac Newton Institute Preprint from NI04024-CPD.
332. A Cangiani and E Süli. A-posteriori error estimators and RFB. NA-04/23, Oxford University Computing Laboratory, September 2004.
333. F Brezzi, B Cockburn, D M Marini, and E Süli. Stabilization mechanism in discontinuous Galerkin finite element methods. NA-04/24, Oxford University Computing Laboratory, September 2004.
334. A Lasis and E Süli. One-parameter discontinuous Galerkin finite element discretisation of quasilinear parabolic problems. NA-04/25, Oxford University Computing Laboratory, November 2004.
335. E Süli. Finite element approximation of high-dimensional transport-dominated diffusion problems. NA-05/19, Oxford University Computing Laboratory, September 2005.
336. C Ortner and E Süli. Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems. NA-06/05, Oxford University Computing Laboratory, May 2006.
337. S Berrone and E Süli. Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows. NA-06/10, Oxford University Computing Laboratory, June 2006.
338. C Ortner and E Süli. A-priori analysis of the quasicontinuum method in one dimension. NA-06/12, Oxford University Computing Laboratory, July 2006.
339. C Ortner and E Süli. A-posteriori analysis of the quasicontinuum method in one dimension. NA-06/13, Oxford University Computing Laboratory, August 2006.
340. J W Barrett and E Süli. Existence of global weak solutions to kinetic models for dilute polymers. NA-06/14, Oxford University Computing Laboratory, August 2006.
341. P Houston, T Wihler, and E Süli. A-posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic problems. NA-06/15, Oxford University Computing Laboratory, September 2006.
342. E Süli. A Gagliardo-Nirenberg inequality, with application to duality-based a posteriori error estimation in the L^1 norm. NA-06/18, Oxford University Computing Laboratory, October 2006.
343. C Schwab, E Süli and R-A Todor. Sparse finite element approximation of high-dimensional transport-dominated diffusion problems. NA-07-04, Oxford University Computing Laboratory, February 2007. Also available as an ETH Zürich Research Report 2007-04 from here.
344. D Knezevic and E Süli. Spectral Galerkin approximation of Fokker--Planck equations with unbounded drift. NA-07-16, Oxford University Computing Laboratory, September 2007.
345. J W Barrett and E Süli. Numerical approximation of corotational dumbbell models for dilute polymers. NA-07-19 Oxford University Computing Laboratory, September 2007.
346. P Antonietti and E Süli. Domain decomposition preconditioning for discontinuous Galerkin approximation of convection-diffusion problems. MOX Report 21/2008, Politecnico di Milano, 29 September 2008. Download.
347. S Burke, C Ortner and E Süli. An adaptive finite element approximation of a variational model of brittle fracture. OxPDE Technical Report Series, 2008. Download.
348. C J Larsen, C Ortner and E Süli. Existence of solutions to a regularized model of dynamic fracture. OxPDE Technical Report Series, 2009. Download.
349. B Langwallner, C Ortner and E Süli. Existence and convergence results for the Galerkin approximation of an electronic density functional. OxMOS Technical Report 21/2009, 2009. Download.
350. N Condette, C Melcher, and E Süli. Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth. OxPDE Technical Report Series, 2009. Download.
351. J W Barrett and E Süli. Existence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers. OxPDE Technical Report Series, OxPDE 10/05, 2010. Download.
352. J W Barrett and E Süli. Existence and equilibration of global weak solutions to Hookean-type bead-spring chain models for dilute polymers. OxPDE Technical Report Series, OxPDE 10/17, 2010. Download.
353. S Burke, C Ortner and E Süli. An adaptive finite element approximation of a generalised Ambrosio-Tortorelli functional. OxPDE Technical Report Series, OxPDE 10/18, 2010. Download.
354. J W Barrett and E Süli. Reflections of Dubinskii's nonlinear compact embedding theorem. OxPDE Technical Report Series. OxPDE 11/02, 2011. Download.
355. L Figueroa and E Süli. Greedy Approximation of High-Dimensional Ornstein-Uhlenbeck Operators with Unbounded Drift. OxPDE Technical Report Series. OxPDE 11/4, 2011. Also available as a Numerical Analysis Technical Report. No. 1053. University of Oxford. 5 March 2011. Download.
356. J W Barrett and E Süli. Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers. Numerical Analysis Technical Report. No. 1056. University of Oxford. 20 March 2011. Download.
357. B. Langwallner, C. Ortner, and E. Süli. Quasicontinuum coupling for a field-based interaction potential. OxMOS Report 34/2011. Download
358. R A Norton and E Süli. Finite element approximation of an H^1 gradient flow of a double-well potential with bending energy. OxPDE Report. OxPDE 11/2011. August, 2011. Download.
359. C Makridakis and E Süli. Finite element analysis of Cauchy-Born approximations to atomistic models. Numerical Analysis Technical Report. No. 1451. University of Oxford. 2 December 2011. Download.
360. C Schwab and E Süli. Adaptive Galerkin approximation algorithms for partial differential equations in infinite dimensions. Numerical Analysis Technical Report. No. 1452. University of Oxford. 2 December 2011. Download. Also available as ETH Zürich, SAM Technical Report 2011-69, 2011. Download
361. J W Barrett and E Süli. Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity. OxPDE Technical Report. OxPDE 12/06. January 2012. Download
362. S Congreve, P Houston, E Süli, and T Wihler. Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: Strongly monotone quasi-Newtonian flows. Numerical Analysis Technical Report. University of Oxford. January 2012. Download. Or: University of Bern. Research Report 2012-01, January 2012. Download. Or: University of Nottingham. Research Report. No. 1565. Download.
363. L Diening, C Kreuzer and E Süli. Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. Numerical Analysis Technical Report. University of Oxford. April 2012. Download.
364. M Bulíček, J Málek and E Süli. Existence of global weak solutions to implicitly constituted kinetic models of incompressible dilute homogeneous polymers. Nečas Center. Charles University. Prague. Preprint 2012-003. [Communications in Partial Differential Equations. Published on-line on 31 Oct 2012; DOI: 10.1080/03605302.2012.7421045.] Download.
365. I Smears and E Süli. Discontinuous Galerkin finite element approximation of non-divergence form elliptic equations with Cordes coefficients. Numerical Analysis Technical Report, NA 12/17, University of Oxford, Numerical Analysis Group, November 2012. Download.
366. I Smears and E Süli. Discontinuous Galerkin finite element approximation of Hamilton--Jacobi--Bellman equations with Cordes coefficients. Numerical Analysis Technical Report NA-13/03, University of Oxford, Numerical Analysis Group, February 2013. Download.
367. E Feireisl, Y Lu and E Süli. Dissipative weak solutions to compressible Navier-Stokes-Fokker-Planck systems with variable viscosity coefficients. Preprint [MORE/2016/05]. Charles University Prague, 2016. Download.
368. L Beck, M Bulíček, J Málek and E Süli. On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. Preprint [MORE/2016/01]. Charles University Prague, 2016. Download.

Survey essays in encyclopedias

369. E Süli. Finite Element Methods. In: Encyclopedia of Applied and Computational Mathematics. Björn Engquist, editor. Springer-Verlag, 2013.
370. E Süli. Numerical Solution of Partial Differential Equations. Nicholas J. Higham, Mark R. Dennis, Paul Glendinning, Paul A. Martin, Fadil Santosa and Jared Tanner, editors. The Princeton Companion to Applied Mathematics, pages 306--319. Princeton University Press, Princeton, NJ, USA, 2015. Download.

Lecture notes

371. E Süli. Numerical Computation I. Oxford University Computing Laboratory, University of Oxford, 1998. Download.
372. E Süli. An Introduction to the Numerical Analysis of Partial Differential Equations. Mathematical Institute, University of Oxford, 2005. Download.
373. E Süli. Numerical Solution of Ordinary Differential Equations. Mathematical Institute, University of Oxford, 2010. Download.
374. E Süli. Lecture Notes on Finite Element Methods for Partial Differential Equations. Mathematical Institute, University of Oxford, 2012. Download.
375. E Süli. A Brief Excursion into the Mathematical Theory Mixed Finite Element Methods. Mathematical Institute, University of Oxford, 2013. Download.

Book reviews

376. Time Dependent Problems and Difference Methods, by Bertil Gustaffson, Heinz-Otto Kreiss, and Joseph Oliger, John Wiley, New York, 1995. xi + 642 pp. ISBN 0-471-50734-2. SIAM Review, (39), No.2, pp.362--366, 1997. [See "Book Reviews" on this webpage.]
377. Adaptive Finite Element Methods for Differential Equations, by Wolfgang Bangerth and Rolf Rannacher, Lectures in Mathematics, ETH Zürich, Birkhäuser Verlag, (Basel, Boston, Berlin), 2003. 207+viii pages. ISBN: 3-7643-7009-2. AMS Mathematics Subject Classification (MSC2000) 65N30. Mathematics of Computation, 74, 1033-1039, 2004. Download.

     Ph.D. Thesis

378. Endre Süli: Lagrange-Galerkin mixed finite element approximation of the Navier-Stokes equations. Faculty of Mathematics, University of Belgrade, 12 March 1985. (In Serbian). Digitized on 16 July 2009 by the Serbian National Center for Digitization. Download.

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