Year: 2020
Author: Zhiyuan Sun, Jun Liu, Pei Wang
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 3 : pp. 729–747
Abstract
In this article, we apply the discontinuous Galerkin method by patch reconstruction for solving convection-diffusion problems. The proposed method is highly efficient that it uses only one degree of freedom per element to achieve higher order approximation. It also enjoys the implementation flexibility on the general polygonal meshes. A priori error estimates of energy norm is devised. Numerical examples are presented to illustrate the theoretical results and the efficiency of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0193
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 3 : pp. 729–747
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Convection-diffusion problem polygonal mesh discontinuous Galerkin method patch reconstruction.
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