Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 363, Issue -, Pages 79-86Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2018.02.036
Keywords
Weak Galerkin finite element methods; Div-curl problems; Polyhedral meshes
Funding
- 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
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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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