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摘要
This paper concerns a weak Galerkin method (WGM) for the diffraction of a time-harmonic incident wave impinging upon a one-dimensional periodic grating structure. The existence and uniqueness of the weak Galerkin solution to the grating problem are established using a variational approach. The convergence rate of the proposed WGM is systematically analyzed. Numerical simulations are presented to verify the efficiency of the WGM for solving grating problems.
