A weak Galerkin method for diffraction gratings. Issue 2 (25th January 2017)

• Record Type: Journal Article
• Authors: Zhang, J. C.; Zhang, K.; Li, J. Z.; He, Z. B.
• Is Part Of: Applicable analysis. Volume 96:Issue 2(2017)
• Page Start: 190
• Page End: 214
• Publication Date: 2017-01-25
• Subjects: Weak Galerkin method -- diffraction grating; 65N30 -- 65N12 -- 65M12; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1118625
• Languages: English
• ISSNs: 0003-6811

Abstract

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.