COMPARISON OF FINITE VOLUME AND FINITE DIFFERENCE METHODS AND APPLICATION-Reference-Cited by-同舟云学术

COMPARISON OF FINITE VOLUME AND FINITE DIFFERENCE METHODS AND APPLICATION

Published:2006-04 Issue:02 Volume:04 Page:163-208
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

FAURE S.¹,PHAM D.²,TEMAM R.¹²

Affiliation:

1. Laboratoire d'Analyse Numérique, Université Paris-Sud, Bâtiment 425, 91405 Orsay, France

2. The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405, USA

Abstract

In this article, we consider finite volume methods based on a non-uniform grid. Finite volume methods are compared to finite difference methods based on a related grid. As an application, various convergence results are proved for the finite volume function spaces and for some model elliptic and parabolic boundary value problems using these discretization spaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530506000723

Reference18 articles.

1. Approximation variationnelle des problèmes aux limites

2. Finite Volume Methods for Elliptic PDE's: A New Approach

3. Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains

4. Error estimates for the convergence of a finite volume discretization of convection–diffusion equations

5. A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data

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