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

Shimin Chai, Yongkui Zou & Wenju Zhao

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

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COPYRIGHT: © Global Science Press

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