Abstract
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.
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Acknowledgements
The authors wish to thank Professor Haijun Wu for many suggestions on FEM programming of the grating problems. They also wish to thank the High Performance Computing Center of Jilin University and Computing Center of Jilin Province for essential computing support.
Notes
No potential conflict of interest was reported by the authors.