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Finite Volume Methods for Elliptic PDE's: A NewApproach

Published online by Cambridge University Press:  15 May 2002

Panagiotis Chatzipantelidis
Panagiotis Chatzipantelidis*
Affiliation:
Department of Applied Mathematics, University of Crete and Institute of Applied and Computational Mathematics, FO.R.T.H, 71110 Heraklion, Crete, Greece. e-mail:
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Abstract

We consider a new formulation for finite volume element methods, which is satisfied by known finite volume methods and it can be used to introduce new ones. This framework results by approximating the test function in the formulation of finite element method. We analyze piecewise linear conforming or nonconforming approximations on nonuniform triangulations and prove optimal order H1-norm and L2-norm error estimates.

Keywords

Finite volume methodserror estimates
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 2 , March 2002 , pp. 307 - 324
Copyright
© EDP Sciences, SMAI, 2002

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