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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 byknown finite volume methods and itcan be used to introduce new ones. This framework results by approximating the test function in theformulation of finite element method.We analyze piecewise linear conforming or nonconforming approximations on nonuniform triangulations andprove optimal order H 1-norm and L 2-norm errorestimates.

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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