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Volume 24, Issue 1
The Weak Galerkin Method for Linear Hyperbolic Equation

Qilong Zhai, Ran Zhang, Nolisa Malluwawadu & Saqib Hussain

DOI: 10.4208/cicp.OA-2017-0052

Commun. Comput. Phys., 24 (2018), pp. 152-166.

Published online: 2018-03

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  • 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.

  • Keywords

Weak Galerkin finite element method, linear hyperbolic equation, error estimate.

  • AMS Subject Headings

65N30, 65N15, 65N25, 35B45, 35J50, 35J35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-24-152, author = {Qilong Zhai, Ran Zhang, Nolisa Malluwawadu and Saqib Hussain}, title = {The Weak Galerkin Method for Linear Hyperbolic Equation}, journal = {Communications in Computational Physics}, year = {2018}, volume = {24}, number = {1}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0052}, url = {http://global-sci.org/intro/article_detail/cicp/10932.html} }
TY - JOUR T1 - The Weak Galerkin Method for Linear Hyperbolic Equation AU - Qilong Zhai, Ran Zhang, Nolisa Malluwawadu & Saqib Hussain JO - Communications in Computational Physics VL - 1 SP - 152 EP - 166 PY - 2018 DA - 2018/03 SN - 24 DO - http://doi.org/10.4208/cicp.OA-2017-0052 UR - https://global-sci.org/intro/article_detail/cicp/10932.html KW - Weak Galerkin finite element method, linear hyperbolic equation, error estimate. AB -

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.

Qilong Zhai, Ran Zhang, Nolisa Malluwawadu and Saqib Hussain. (2018). The Weak Galerkin Method for Linear Hyperbolic Equation. Communications in Computational Physics. 24 (1). 152-166. doi:10.4208/cicp.OA-2017-0052
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