Finite volume approximation of elliptic problems and convergence of an approximate gradient

By Robert Eymard, Thierry Gallouët, Raphaèle Herbin. 2001

80 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/baad7feccfac36fc877b2fdf5cce3e577a04b222

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

1. Florence Hubert
2. Franck Boyer
3. Boris P. Andreianov
4. Komla Domelevo
5. Pascal Omnes
6. Junseok Kim
7. Jérôme Droniou
8. Stella Krell

In Computational Theory and Mathematics

1. Franck Boyer
2. Florence Hubert
3. Komla Domelevo
4. Pascal Omnes
5. Jérôme Droniou

In Mathematical Physics

1. Franck Boyer
2. Komla Domelevo
3. Pascal Omnes

Citations in the corpus

• A review of numerical methods for nonlinear partial differential equations (2012, unknown): “For recent progress in this direction, we refer to [45, 77] and the references therein.”
• Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes (2007, background): “We start as in the proof of the discrete Poincaré inequality given in [4] (see also [19]), taking into account the boundary conditions.”
• A FINITE VOLUME METHOD FOR THE LAPLACE EQUATION ON ALMOST ARBITRARY TWO-DIMENSIONAL GRIDS (2005, methodology): “An alternative to the computation of both components of the gradient is the method described in [10], which reconstructs the whole gradient from the knowledge of the normal components at the interfaces.”
• Analysis of a finite volume method for a cross-diffusion model in population dynamics (2011, unknown): “[21].”