A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes
Abstract A potential-robust WG (weak Galerkin) method is introduced for the Maxwell equations. We obtain potential/magnetic-permeability independent error estimates. Optimal-order convergence rates are proved in both the energy norm and the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>L</m:mi> <m:mn>2</m:mn> </m:msup> </m:math> {L^{2}} norm. Numerical examples verify the theory.
Authors
- Xiu Ye (ORCID: https://orcid.org/0000-0002-1559-3836)
- Shangyou Zhang (ORCID: https://orcid.org/0000-0002-1114-4179)
- Yufeng Nie (ORCID: https://orcid.org/0000-0001-7881-5806)
Institutions
- University of Arkansas at Little Rock (US)
- Northwestern Polytechnical University (CN)
- University of Delaware (US)
Publication Details
- Journal
- Computational Methods in Applied Mathematics
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1515/cmam-2024-0144
- Citations
- 1
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 1.33
Funders
- National Natural Science Foundation of China
- National Key Research and Development Program of China