Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains
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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 H 1-, L 2- and L ∞-norms, taking into consideration the regularity of the data. Numerical experiments and counterexamples illustrate the theoretical results. © 2005 Society for Industrial and Applied Mathematics.
author list (cited authors)
Chatzipantelidis, P., & Lazarov, R. D.