Discontinuous Galerkin methods for solving elliptic and parabolic equations: theory and implementation B Rivière Society for Industrial and Applied Mathematics, 2008 | 1474 | 2008 |
Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I B Rivière, MF Wheeler, V Girault Computational Geosciences 3, 337-360, 1999 | 577 | 1999 |
Multiphysics simulations: Challenges and opportunities DE Keyes, LC McInnes, C Woodward, W Gropp, E Myra, M Pernice, J Bell, ... The International Journal of High Performance Computing Applications 27 (1 …, 2013 | 494 | 2013 |
A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems B Rivière, MF Wheeler, V Girault SIAM Journal on Numerical Analysis 39 (3), 902-931, 2001 | 488 | 2001 |
Locally conservative coupling of Stokes and Darcy flows B Rivière, I Yotov SIAM Journal on Numerical Analysis 42 (5), 1959-1977, 2005 | 320 | 2005 |
A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems V Girault, B Rivière, M Wheeler Mathematics of computation 74 (249), 53-84, 2005 | 297 | 2005 |
DG approximation of coupled Navier–Stokes and Darcy equations by Beaver–Joseph–Saffman interface condition V Girault, B Rivière SIAM Journal on Numerical Analysis 47 (3), 2052-2089, 2009 | 293 | 2009 |
Estimation of penalty parameters for symmetric interior penalty Galerkin methods Y Epshteyn, B Rivière Journal of Computational and Applied Mathematics 206 (2), 843-872, 2007 | 211 | 2007 |
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems B Rivière Journal of Scientific Computing 22 (1-3), 479-500, 2005 | 204 | 2005 |
Agent‐based model of inflammation and wound healing: insights into diabetic foot ulcer pathology and the role of transforming growth factor‐β1 Q Mi, B Rivière, G Clermont, DL Steed, Y Vodovotz Wound Repair and Regeneration 15 (5), 671-682, 2007 | 199 | 2007 |
A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Log number: R74 B Riviere, MF Wheeler Computers & Mathematics with Applications 46 (1), 141-163, 2003 | 184 | 2003 |
A strongly conservative finite element method for the coupling of Stokes and Darcy flow G Kanschat, B Riviere Journal of Computational Physics 229 (17), 5933-5943, 2010 | 179 | 2010 |
Discontinuous finite element methods for acoustic and elastic wave problems B Riviere, MF Wheeler Contemporary Mathematics 329 (271-282), 4-6, 2003 | 172 | 2003 |
A discontinuous Galerkin method applied to nonlinear parabolic equations B Rivière, MF Wheeler Discontinuous Galerkin Methods: Theory, Computation and Applications, 231-244, 2000 | 165 | 2000 |
Part II. Discontinuous Galerkin method applied to a single phase flow in porous media B Riviè; re, MF Wheeler, K Banaś Computational Geosciences 4, 337-349, 2000 | 154 | 2000 |
Superconvergence and H (div) projection for discontinuous Galerkin methods P Bastian, B Rivière International journal for numerical methods in fluids 42 (10), 1043-1057, 2003 | 135 | 2003 |
A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media S Sun, B Riviere, MF Wheeler Recent Progress in Computational and Applied PDES: Conference Proceedings …, 2002 | 124 | 2002 |
Discontinuous Galerkin methods for flow and transport problems in porous media B Rivière, MF Wheeler Communications in numerical methods in engineering 18 (1), 63-68, 2002 | 123 | 2002 |
On the solution of the coupled Navier–Stokes and Darcy equations P Chidyagwai, B Rivière Computer Methods in Applied Mechanics and Engineering 198 (47-48), 3806-3820, 2009 | 121 | 2009 |
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity B Riviere, S Shaw, MF Wheeler, JR Whiteman Numerische Mathematik 95, 347-376, 2003 | 117 | 2003 |