A weak Galerkin finite element method for indefinite time-harmonic Maxwell equations

Yingying Xie, Ming Tang and Chunming Tang

Applied Mathematics and Computation, 2022, vol. 435, issue C

Abstract: In this paper, we intend to develop a weak Galerkin (WG) finite element method for solving the indefinite time-harmonic Maxwell equations. Firstly, by using an analogy of Ga˚rding inequality and proving a posteriori estimate about the error, we prove the well-posedness of the WG method. Then, by deducing an error equation, we achieve optimal a priori error estimates in both the energy norm and the L2 norm. Finally, we carry out some numerical experiments to confirm the theoretical conclusions.

Keywords: A priori error estimation; Weak Galerkin finite element method; Weak curl operator; Maxwell equations (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:435:y:2022:i:c:s0096300322005458

DOI: 10.1016/j.amc.2022.127471

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