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

A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

Authors

Shimin Chai
Yongkui Zou
Wenju Zhao

DOI:

https://doi.org/10.4208/aamm.OA-2018-0028

Keywords:

Fourth order parabolic equation, weak Galerkin, error estimate.

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.