Year: 2018
Communications in Computational Physics, Vol. 24 (2018), Iss. 1 : pp. 152–166
Abstract
The linear hyperbolic equation is of great interest in many branches of physics and industry. In this paper, we use the weak Galerkin method to solve the linear hyperbolic equation. Since the weak Galerkin finite element space consists of discontinuous polynomials, the discontinuous feature of the equation can be maintained. The optimal error estimates are proved. Some numerical experiments are provided to verify 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/cicp.OA-2017-0052
Communications in Computational Physics, Vol. 24 (2018), Iss. 1 : pp. 152–166
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Weak Galerkin finite element method linear hyperbolic equation error estimate.