Gudi, Thirupathi (2010) Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems. In: CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation, 47 (4). pp. 239-261.
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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 GAyenrding type inequality. Optimal order L (2) norm a priori error estimates are derived for an adjoint consistent interior penalty method.
Item Type: | Journal Article |
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Publication: | CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation |
Publisher: | Springer |
Additional Information: | Copyright of this article belongs to Springer. |
Keywords: | Finite element; Discontinuous Galerkin; Error estimate |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 13 Dec 2010 10:35 |
Last Modified: | 13 Dec 2010 10:35 |
URI: | http://eprints.iisc.ac.in/id/eprint/34468 |
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