A well-conditioned multilevel directional simply sparse method for analysis of electromagnetic problems. (February 2019)

• Record Type: Journal Article
• Authors: Jiang, Zhaoneng; Qiao, Xuguang; Yin, Wenfei; Zhao, Xiaoyan; Xuan, Xiaofeng; Wan, Ting
• Is Part Of: Engineering analysis with boundary elements. Volume 99(2019)
• Page Start: 244
• Page End: 247
• Publication Date: 2019-02
• Subjects: Multilevel directional simply sparse method (MLDSSM) -- Well-conditioned electric field integral equation (WEFIE) -- Directional grouping scheme; 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.2018.11.015
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: To efficiently analyze electromagnetic scattering of electrically-large complex objects, a novel version of multilevel directional simply sparse method (MLDSSM) based on well-conditioned electric field integral equation (WEFIE) is proposed in this paper. When the complex target is analyzed, the condition number of impedance matrix of electric field integral equation (EFIE) is very poor. In this paper, the WEFIE is applied to improve the convergence property of EFIE. Meanwhile, an efficient version of MLSSM algorithm based on directional grouping scheme is applied to further accelerate the matrix-vector multiplication. Numerical results of differently shaped objects were presented to show the efficiency of the proposed method.