A weak Galerkin finite element method for Burgers' equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:348

Article

Chen, Yanli¹  Zhang, Tie^1,2 

[1] Northeastern Univ, Dept Math, Shenyang 110004, Liaoning, Peoples R China

[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Liaoning, Peoples R China

关键词: Weak Galerkin finite element method;    Burgers' equation;    Optimal error estimates;   

DOI  :  10.1016/j.cam.2018.08.044

来源: Elsevier

【 摘 要 】

We propose a weak Galerkin (WG) finite element method for solving the one-dimensional Burgers' equation. Based on a new weak variational form, both semi-discrete and fully discrete WG finite element schemes are established and analyzed. We prove the existence of the discrete solution and derive the optimal order error estimates in a discrete H-1 norm and the standard L-2 norm, respectively. Numerical experiments are presented to illustrate our theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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