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

✍ Scribed by Sarvesh Kumar; Neela Nataraj; Amiya K. Pani

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
191 KB
Volume
25
Category
Article
ISSN
0749-159X

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✦ Synopsis

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 confirm the theoretical order of convergences. Β© 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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