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Volume 11, Issue 2
A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

Shimin Chai, Yongkui Zou & Wenju Zhao

DOI: 10.4208/aamm.OA-2018-0028

Adv. Appl. Math. Mech., 11 (2019), pp. 467-485.

Published online: 2019-01

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  • Abstract

This paper is concerned with the $C^0$ weak Galerkin finite element method for a fourth order linear parabolic equation. The method is based on the construction of a discrete weak Laplacian operator. The error estimates are obtained for semi-discrete weak Galerkin finite element method. Numerical results are presented to confirm the theory.

  • Keywords

Fourth order parabolic equation, weak Galerkin, error estimate.

  • AMS Subject Headings

60H15, 65C30, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-467, author = {Chai , ShiminZou , Yongkui and Zhao , Wenju}, title = {A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {2}, pages = {467--485}, abstract = {

This paper is concerned with the $C^0$ weak Galerkin finite element method for a fourth order linear parabolic equation. The method is based on the construction of a discrete weak Laplacian operator. The error estimates are obtained for semi-discrete weak Galerkin finite element method. Numerical results are presented to confirm the theory.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0028}, url = {http://global-sci.org/intro/article_detail/aamm/12972.html} }
TY - JOUR T1 - A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation AU - Chai , Shimin AU - Zou , Yongkui AU - Zhao , Wenju JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 467 EP - 485 PY - 2019 DA - 2019/01 SN - 11 DO - http://doi.org/10.4208/aamm.OA-2018-0028 UR - https://global-sci.org/intro/article_detail/aamm/12972.html KW - Fourth order parabolic equation, weak Galerkin, error estimate. AB -

This paper is concerned with the $C^0$ weak Galerkin finite element method for a fourth order linear parabolic equation. The method is based on the construction of a discrete weak Laplacian operator. The error estimates are obtained for semi-discrete weak Galerkin finite element method. Numerical results are presented to confirm the theory.

Chai , ShiminZou , Yongkui and Zhao , Wenju. (2019). A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation. Advances in Applied Mathematics and Mechanics. 11 (2). 467-485. doi:10.4208/aamm.OA-2018-0028
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