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Discontinuous Galerkin finite element methods for variational inequalities of first and second kinds

✍ Scribed by J.K. Djoko

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
152 KB
Volume
24
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

We develop the error analysis for the h‐version of the discontinuous Galerkin finite element discretization for variational inequalities of first and second kinds. We establish an a priori error estimate for the method which is of optimal order in a mesh dependant as well as L^2^‐norm.Β© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007

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Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
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## Abstract 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