A weak Galerkin least-squares finite element method for div-curl systems

作者：Li Jichun^*; Ye Xiu; Zhang Shangyou

来源：Journal of Computational Physics, 2018, 363: 79-86.

DOI：10.1016/j.jcp.2018.02.036

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

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.

• 出版日期2018-6-15