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

Authors:
P. Chatzipantelidis;R. D. Lazarov
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2004

Citing 0
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Abstract

We consider standard finite volume piecewise linear approximations for second order elliptic boundary value problems on a nonconvex polygonal domain. Based on sharp shift estimates, we derive error estimations in H1-, L2- and L$_\infty$-norms, taking into consideration the regularity of the data. Numerical experiments and counterexamples illustrate the theoretical results.