Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains Academic Article uri icon

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 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.

citation count

  • 23

publication date

  • January 2005