3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
By Robert Eymard, Gérard Henry, Raphaèle Herbin, Florence Hubert, Robert Klöfkorn, Gianmarco Manzini. 2008
330 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/7c7851402979ff5845cd41789ca8cae89b535301
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Gianmarco Manzini
- Stella Krell
- Konstantin Lipnikov
- Alexandre Ern
- Cindy Guichard
- Daniele A. Di Pietro
- Roland Masson
- Bernardo Cockburn
In Computational Theory and Mathematics
- Gianmarco Manzini
- Roland Masson
- Cindy Guichard
- Stella Krell
- Robert Eymard
- Raphaèle Herbin
- Konstantin Lipnikov
- Bernardo Cockburn
Citations in the corpus
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods (2016, methodology): “For both choices, we solve the corresponding problem on both the triangular and (predominantly) hexagonal mesh families depicted in Figure 1 which correspond, respectively, to the mesh family 1 of the FVCA5 benchmark [24], and to the mesh used in the numerical examples of [19].”
- Stabilized DDFV schemes for stokes problem with variable viscosity on general 2D meshes (2011, methodology): “Stabilized DDFV Schemes for Stokes Problem with Variable Viscosity on General 2D Meshes Stella Krell Laboratoire d’Analyse, Topologie et Probabilités, Université de Provence,”
- TP or not TP, that is the question (2014, background): “KEYWORDS. two-phase flow in porous media, two-point flux approximation, finite volume scheme, gradient scheme.”
- Vertex-centred discretization of multiphase compositional Darcy flows on general meshes (2012, methodology): “Moreover it has exhibited a very good compromise between accuracy, robustness and CPU time in the recent FVCA6 3D benchmark [19].”
- Mimetic finite difference method (2014, background): “Furthermore, a systematic comparison with other numerical methods for solving 2D and 3D elliptic problems with strongly anisotropic diffusion tensors was carried out and presented in the conference benchmarks [105] [135].”
- A monotone nonlinear finite volume method for approximating diffusion operators on general meshes (2016, methodology): “Numerical comparisons between many of them have been performed in [23] for the 2D case and in [24] for the 3D case.”