A Weak Galerkin Least-squares Finite Element Method for Div-curl Systems

Authors

Jichun Li, University of Nevada, Las VegasFollow
Xiu Ye, University of Arkansas at Little RockFollow
Shangyou Zhang, University of DelawareFollow

Document Type

Article

Publication Date

2-26-2018

Publication Title

Journal of Computational Physics

Volume

363

First page number:

79

Last page number:

86

Abstract

In this paper, we introduce a weak Galerkin least-squares method for solving div–curl problem. This finite element method leads to a symmetric positive definite system and has the flexibility to work with general meshes such as hybrid mesh, polytopal mesh and mesh with hanging nodes. Error estimates of the finite element solution are derived. The numerical examples demonstrate the robustness and flexibility of the proposed method.

Keywords

Weak Galerkin finite element methods; Div-curl problems; Polyhedral meshes

Disciplines

Computer Sciences | Physical Sciences and Mathematics

Language

English

Repository Citation

Li, J., Ye, X., Zhang, S. (2018). A Weak Galerkin Least-squares Finite Element Method for Div-curl Systems. Journal of Computational Physics, 363 79-86.
http://dx.doi.org/10.1016/j.jcp.2018.02.036