Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems

Gudi, Thirupathi (2010) Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation, 47 (4). pp. 239-261. ISSN 0008-0624

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Official URL: https://doi.org/10.1007/s10092-010-0022-9

Related URL: http://dx.doi.org/10.1007/s10092-010-0022-9

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

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Finite Element; Discontinuous Galerkin; Error Estimate
ID Code:141586
Deposited On:02 Dec 2025 07:51
Last Modified:02 Dec 2025 07:51

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