Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes

By Y. Coudière, Philippe Villedieu. 2000

47 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/50c38e5ce66dc538c4a483701545573088cd21d7

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. Raphaèle Herbin
2. Thierry Gallouët
3. Komla Domelevo
4. Pascal Omnes
5. Stella Krell
6. Robert Eymard
7. Cindy Guichard
8. Mario Ohlberger

In Numerical Analysis

1. Komla Domelevo
2. Pascal Omnes
3. Thierry Gallouët
4. Raphaèle Herbin
5. Stella Krell

Citations in the corpus

• A FINITE VOLUME METHOD FOR THE LAPLACE EQUATION ON ALMOST ARBITRARY TWO-DIMENSIONAL GRIDS (2005, methodology): “The main drawbacks are first, that the resulting numerical scheme is not symmetric, and thus more expensive iterative methods have to be employed to compute the solution of the associated linear system of equations; and second, that convergence of the discrete solution to the continuous one is obtai”
• Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations (2001, background): “Estimate (23) has been proved more recently [7,10] on meshes of rectangles with geometrically non conform local refinement, only assuming that u ∈ H(2)(Ω).”