Raphaèle Herbin

Computational Mechanics · 2001–2019

A researcher in the Science corpus: 14 papers; trusts 13 researchers and is trusted by 32 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 26 citations into it; #902 of 10,001 by trust here, #1,304 by citations
• Computational Theory and Mathematics — 11 citations into it; #1,494 of 12,182 by trust here, #1,782 by citations
• Electrical and Electronic Engineering — 8 citations into it
• Numerical Analysis — 6 citations into it; #644 of 3,586 by trust here, #959 by citations
• Applied Mathematics — 5 citations into it

Whom Raphaèle Herbin trusts overall

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

1. Robert Eymard
2. Komla Domelevo
3. Cindy Guichard
4. Ivar Aavatsmark
5. Pascal Omnes
6. Timothy A. Davis
7. Franco Brezzi
8. Zhangxin Chen

Who trusts Raphaèle Herbin overall

1. Robert Eymard
2. Cindy Guichard
3. Jean-Sylvain Camier
4. Stella Krell
5. Thierry Gallouët
6. Roland Masson
7. Martin Vohralík
8. Konstantin Brenner
9. Bernardo Cockburn
10. Francois Hermeline

Papers from Raphaèle Herbin's perspective

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

1. An Introduction to Multipoint Flux Approximations for Quadrilateral Grids
2. Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces
3. Mimetic finite differences for elliptic problems
4. Small-stencil 3D schemes for diffusive flows in porous media
5. VERTEX CENTRED DISCRETIZATION OF TWO-PHASE DARCY FLOWS ON GENERAL MESHES
6. Degenerate Two-Phase Incompressible Flow: I. Existence, Uniqueness and Regularity of a Weak Solution
7. Mathematical study of a petroleum-engineering scheme
8. Decoupling and Block Preconditioning for Sedimentary Basin Simulations
9. Vertex-centred discretization of multiphase compositional Darcy flows on general meshes (Computational Geosciences)
10. BoomerAMG: a parallel algebraic multigrid solver and preconditioner

Their papers

• 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids (2008) — 330 citations
• A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension (2006) — 142 citations
• Small-stencil 3D schemes for diffusive flows in porous media (2012) — 171 citations
• Mathematical study of a petroleum-engineering scheme (2003) — 121 citations
• VERTEX CENTRED DISCRETIZATION OF TWO-PHASE DARCY FLOWS ON GENERAL MESHES (2012) — 53 citations
• Vertex-centred discretization of multiphase compositional Darcy flows on general meshes (2012) — 85 citations
• A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis (2007) — 86 citations
• Finite volume approximation of elliptic problems and convergence of an approximate gradient (2001) — 80 citations
• Finite Volume Methods (2019) — 640 citations
• Gradient schemes for two‐phase flow in heterogeneous porous media and Richards equation (2014) — 72 citations
• TP or not TP, that is the question (2014) — 58 citations
• Finite volume method (2010) — 383 citations
• Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces (2008) — 392 citations
• Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations (2001) — 66 citations