期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 363, 期 -, 页码 79-86出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2018.02.036
关键词
Weak Galerkin finite element methods; Div-curl problems; Polyhedral meshes
资金
- National Science Foundation [DMS-1416742, DMS-1620016]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1620016] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1416742] Funding Source: National Science Foundation
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. (C) 2018 Elsevier Inc. All rights reserved.
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