4.5 Article

Discontinuous Galerkin Finite Volume Element Methods for Second-Order Linear Elliptic Problems

Journal

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 25, Issue 6, Pages 1402-1424

Publisher

WILEY
DOI: 10.1002/num.20405

Keywords

discontinuous Galerkin methods; finite volume element methods; optimal error estimates

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In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second-order linear elliptic problems is discussed. Optimal error estimates in L-2 and broken H-1 - norms are derived. Numerical results confirm the theoretical order of convergences. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 1402-1424, 2009

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