| Issue |
ESAIM: M2AN
Volume 36, Number 2, March/April 2002
|
|
|---|---|---|
| Page(s) | 307 - 324 | |
| DOI | https://doi.org/10.1051/m2an:2002014 | |
| Published online | 15 May 2002 | |
Finite Volume Methods for Elliptic PDE's: A New Approach
Department of Applied Mathematics, University
of Crete and
Institute of Applied and Computational Mathematics,
FO.R.T.H, 71110
Heraklion, Crete, Greece. e-mail:
Received:
9
October
2001
Revised:
24
January
2002
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.
Mathematics Subject Classification: 65N30 / 65N15
Key words: Finite volume methods / error estimates
© EDP Sciences, SMAI, 2002
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