A weak Galerkin finite element method for indefinite time-harmonic Maxwell equations
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摘要
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.
论文关键词:A priori error estimation,Weak Galerkin finite element method,Weak curl operator,Maxwell equations
论文评审过程:Received 7 May 2022, Revised 26 July 2022, Accepted 2 August 2022, Available online 26 August 2022, Version of Record 26 August 2022.
论文官网地址:https://doi.org/10.1016/j.amc.2022.127471