Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems-Reference-Cited by-同舟云学术

Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems

Published:2020-09-25 Issue:3 Volume:28 Page:161-174
ISSN:1569-3953
Container-title:Journal of Numerical Mathematics
language:
Short-container-title:

Author:

Fabien Maurice S.¹,Knepley Matthew G.²,Riviere Beatrice M.¹

Affiliation:

1. Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005, USA

2. Department of Computer Science and Engineering, State University of New York at Buffalo, Buffalo, New York, 14260, USA

Abstract

AbstractThe focus of this paper is the analysis of families of hybridizable interior penalty discontinuous Galerkin methods for second order elliptic problems. We derive a priori error estimates in the energy norm that are optimal with respect to the mesh size. Suboptimal L2-norm error estimates are proven. These results are valid in two and three dimensions. Numerical results support our theoretical findings, and we illustrate the computational cost of the method.

Publisher

Walter de Gruyter GmbH

Subject

Computational Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jnma-2019-0027/pdf

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