The method of fundamental solutions for the scattering problem of an open cavity. (January 2023)

• Record Type: Journal Article
• Authors: Wang, Yujie; Zheng, Enxi; Guo, Wenke
• Is Part Of: Engineering analysis with boundary elements. Volume 146(2023)
• Page Start: 436
• Page End: 447
• Publication Date: 2023-01
• Subjects: Scattering problem -- Open cavity -- Method of fundamental solutions -- Numerical Green function -- Helmholtz equation; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2022.10.027
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this paper, the scattering problem of an open cavity is considered. By use of the numerical solution to the scattering problem of a slit, we obtain the numerical Green function for the scattering problem of a cavity. Then the method of fundamental solutions (MFS) is formulated for solving the direct and inverse scattering problem of open cavity. For the direct problem we add the adaptive strategy and for the inverse problem we use the regularization. Comparing with the MFS using the traditional Green function, our method does not need the artificial boundary and fewer source points are used. Some computational examples are presented to show the effectiveness of our method.