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 - <p style="text-align: justify;">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.</p>