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.
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