Beatrice M. Riviere

Computational Mechanics · 2000–2013

A researcher in the Science corpus: 12 papers; trusts 23 researchers and is trusted by 47 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 36 citations into it; #588 of 10,001 by trust here, #1,093 by citations
• Computational Theory and Mathematics — 20 citations into it; #1,409 of 12,182 by trust here, #1,890 by citations
• Mechanics of Materials — 12 citations into it; #384 of 6,291 by trust here, #1,479 by citations
• Numerical Analysis — 6 citations into it; #576 of 3,586 by trust here, #1,166 by citations
• Environmental Engineering — 5 citations into it

Whom Beatrice M. Riviere trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Marco Discacciati
2. Mary F. Wheeler
3. Susanne C. Brenner
4. Roland Glowinski
5. Alfio Maria Quarteroni
6. Vivette Girault
7. Paul Houston
8. Todd Arbogast
9. Clint N. Dawson
10. William J. Layton

Who trusts Beatrice M. Riviere overall

1. Shuyu Sun
2. Mary F. Wheeler
3. Herbert Egger
4. Susanne C. Brenner
5. Yekaterina Epshteyn
6. Beirão da Veiga
7. Maksymilian Dryja
8. Vít Dolejsí
9. Marco Discacciati
10. Yuri Bazilevs

Papers from Beatrice M. Riviere's perspective

Ordered by how strongly the researchers Beatrice M. Riviere trusts endorse each paper. Same corpus, a different order for every researcher.

1. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (SIAM Journal on Numerical Analysis)
2. Mathematical and numerical models for coupling surface and groundwater flows
3. Korn's inequalities for piecewise H1 vector fields (Mathematics of Computation)
4. Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
5. A finite element method for domain decomposition with non-matching grids
6. On The Interface Boundary Condition of Beavers, Joseph, and Saffman (SIAM Journal on Applied Mathematics)
7. Homogenization of a Darcy–Stokes system modeling vuggy porous media
8. Finite element methods for incompressible viscous flow
9. A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems (SIAM Journal on Numerical Analysis)
10. Poincaré-Friedrichs Inequalities for Piecewise H1 Functions (SIAM Journal on Numerical Analysis)

Their papers

• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems (2001) — 413 citations
• A Discontinuous Galerkin Method Applied to Nonlinear Parabolic Equations (2000) — 128 citations
• A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media (2002) — 113 citations
• Part II. Discontinuous Galerkin method applied to a single phase flow in porous media (2000) — 98 citations
• Fully implicit discontinuous finite element methods for two-phase flow (2007) — 94 citations
• Time-dependent coupling of Navier–Stokes and Darcy flows (2013) — 68 citations
• On the solution of the coupled Navier–Stokes and Darcy equations (2009) — 121 citations
• DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition (2009) — 306 citations
• Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation (2008) — 977 citations
• Estimation of penalty parameters for symmetric interior penalty Galerkin methods (2007) — 179 citations
• A Posteriori error estimates for a discontinuous galerkin method applied to elliptic problems. Log number: R74 (2003) — 89 citations
• Discontinuous Galerkin methods for flow and transport problems in porous media (2001) — 101 citations