Weak Galerkin finite element method with second-order accuracy in time for parabolic problems. (April 2019)

• Record Type: Journal Article
• Authors: Zhou, Shiping; Gao, Fuzheng; Li, Benxing; Sun, Zhengjia
• Is Part Of: Applied mathematics letters. Volume 90(2019)
• Page Start: 118
• Page End: 123
• Publication Date: 2019-04
• Subjects: Weak Galerkin finite element method -- Parabolic problems -- Error estimates; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2018.10.023
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper we study a weak Galerkin finite element method (WG-FEM) with second-order accuracy in time for solving one type of parabolic equations. We apply a discrete weak gradient operator on discontinuous piecewise polynomials in the numerical scheme. Fully-discrete WG finite element scheme is introduced and analyzed. Optimal order error estimates are derived in the L 2 norm. Numerical experiments are performed to verify the theoretical results.