Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems

Guzmán, Johnny

doi:10.1090/S0025-5718-06-01823-0

Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems
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by Johnny Guzmán;

Math. Comp. 75 (2006), 1067-1085

DOI: https://doi.org/10.1090/S0025-5718-06-01823-0

Published electronically: March 3, 2006

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Abstract:

In this article, we prove some weighted pointwise estimates for three discontinuous Galerkin methods with lifting operators appearing in their corresponding bilinear forms. We consider a Dirichlet problem with a general second-order elliptic operator.

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Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems
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Abstract: