Beatrice Riviere

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Mary F. WheelerUTAustinVerified email at ices.utexas.edu
Yekaterina EpshteynUniversity of UtahVerified email at math.utah.edu
Faruk AlpakShell International Exploration and Production Inc.Verified email at shell.com
Florian FrankFriedrich-Alexander-Universität Erlangen-NürnbergVerified email at math.fau.de
Chen LiuDepartment of Mathematics, Purdue UniversityVerified email at purdue.edu
Yoram VodovotzProfessor of Surgery, University of PittsburghVerified email at upmc.edu
Prince ChidyagwaiLoyola University marylandVerified email at loyola.edu
Charles PuelzBaylor College of Medicine and Texas Children's HospitalVerified email at bcm.edu
Aycil CesmeliogluOakland UniversityVerified email at oakland.edu
Jizhou LiExxonMobil Upstream Research CompanyVerified email at exxonmobil.com
Kaya (Merdan), SongulProfessor of Mathematics, METUVerified email at metu.edu.tr
Simon ShawReader, Brunel UniversityVerified email at brunel.ac.uk
Gilles ClermontProfessor of Critical Care Medicine, University of PittsburghVerified email at pitt.edu
Guido KanschatHeidelberg UniversityVerified email at uni-heidelberg.de
Matthew KnepleyComputer Science and Engineering, University at BuffaloVerified email at buffalo.edu
Peter BastianProfessor für Wissenschaftliches Rechnen, Universität HeidelbergVerified email at iwr.uni-heidelberg.de
Ivan YotovUniversity of PittsburghVerified email at math.pitt.edu
Christopher ThieleGraduate Student, Rice UniversityVerified email at rice.edu
Shuyu SunProfessor, King Abdullah University of Science and Technology (KAUST)Verified email at kaust.edu.sa
David SwigonAssociate Professor of Mathematics, University of PittsburghVerified email at pitt.edu

Beatrice Riviere

Noah G. Harding Chair and Professor of Computational and Applied Mathematics at Rice University

Verified email at rice.edu - Homepage

Discontinuous Galerkin numerical methods porous media Navier-Stokes


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Discontinuous Galerkin methods for solving elliptic and parabolic equations: theory and implementation B Rivière Society for Industrial and Applied Mathematics, 2008	1229	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 (3), 337-360, 1999	535	1999
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	454	2001
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	367	2013
Locally conservative coupling of Stokes and Darcy flows B Rivière, I Yotov SIAM Journal on Numerical Analysis 42 (5), 1959-1977, 2005	279	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	248	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	218	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	192	2007
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	181	2007
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems B Rivière Journal of Scientific Computing 22 (1), 479-500, 2005	171	2005
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	160	2003
Discontinuous finite element methods for acoustic and elastic wave problems B Riviere, MF Wheeler Contemporary Mathematics 329 (271-282), 4-6, 2003	153	2003
A discontinuous Galerkin method applied to nonlinear parabolic equations B Rivière, MF Wheeler Discontinuous Galerkin methods, 231-244, 2000	149	2000
Part II. Discontinuous Galerkin method applied to a single phase flow in porous media MF Wheeler, K Banaś Computational Geosciences 4 (4), 337-349, 2000	144	2000
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	136	2010
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	124	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, 323-351, 2002	113	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	111	2002
Fully implicit discontinuous finite element methods for two-phase flow Y Epshteyn, B Rivière Applied Numerical Mathematics 57 (4), 383-401, 2007	102	2007
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity B Riviere, S Shaw, MF Wheeler, JR Whiteman Numerische Mathematik 95 (2), 347-376, 2003	98	2003

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