Discontinuous Galerkin finite volume element methods for second‐order linear elliptic problems |
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| Authors: | Sarvesh Kumar Neela Nataraj Amiya K. Pani |
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| Affiliation: | Industrial Mathematics Group, Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India |
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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 L2 and broken H1‐ norms are derived. Numerical results confirm the theoretical order of convergences. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009 |
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| Keywords: | discontinuous Galerkin methods finite volume element methods optimal error estimates |
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