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.