Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems |
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Authors: | Thirupathi Gudi |
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Affiliation: | 1.Department of Mathematics,Indian Institute of Science,Bangalore,India |
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Abstract: | An a priori error analysis of discontinuous Galerkin methods for a general elliptic problem is derived under a mild elliptic regularity assumption on the solution. This is accomplished by using some techniques from a posteriori error analysis. The model problem is assumed to satisfy a Gårding type inequality. Optimal order L 2 norm a priori error estimates are derived for an adjoint consistent interior penalty method. |
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