APPLICATION OF THE IMPROVED FINITE ELEMENT-FAST MULTIPOLE METHOD ON LARGE SCATTERING PROBLEMS | Zendy

XingChang Wei | Zendy; Er Ping Li | Zendy; Yaojiang Jiang Zhang | Zendy

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APPLICATION OF THE IMPROVED FINITE ELEMENT-FAST MULTIPOLE METHOD ON LARGE SCATTERING PROBLEMS

Author(s) -

XingChang Wei,

Er Ping Li,

Yaojiang Jiang Zhang

Publication year - 2004

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier03092501

Subject(s) - multipole expansion , finite element method , scattering , fast multipole method , element (criminal law) , computer science , physics , optics , political science , law , quantum mechanics , thermodynamics

—The finite element hybridized with the boundary integral method is a powerful technique to solve the scattering problem, especially when the fast multipole method,is employed to accelerate the matrix-vector multiplication in the boundary integral method. In this paper, the multifrontal method is used to calculate the triangular factorization of the ill conditioned finite element matrix in this hybrid method. This improves the spectral property of the whole matrix and makes the hybrid method,converge very fast. Through some numerical examples including the scattering from a real-life aircraft with an engine, the accuracy and efficiency of this improved hybrid method are demonstrated.

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