On the formulation of hybrid finite-element and boundary-integral methods for 3-D scattering

Author

Sheng, Xin-Qing ; Jin, Jian-Ming ; Song, Jiming ; Lu, Cai-Cheng ; Chew, Weng Cho

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

46

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

303

Lastpage

311

Abstract

This paper studies, in detail, a variety of formulations for the hybrid finite-element and boundary-integral (FE-BI) method for three-dimensional (3-D) electromagnetic scattering by inhomogeneous objects. It is shown that the efficiency and accuracy of the FE-BI method depends highly on the formulation and discretization of the boundary-integral equation (BIE) used. A simple analysis of the matrix condition number identifies the efficiency of the different FE-BI formulations and an analysis of weighting functions shows that the traditional FE-BI formulations cannot produce accurate solutions. A new formulation is then proposed and numerical results show that the resulting solution has a good efficiency and accuracy and is completely immune to the problem of interior resonance. Finally, the multilevel fast multipole algorithm (MLFMA) is employed to significantly reduce the memory requirement and computational complexity of the proposed FE-BI method

Keywords

boundary integral equations; computational complexity; electromagnetic wave scattering; finite element analysis; matrix algebra; 3D EM scattering; FE-BI method; accuracy; boundary-integral equation; boundary-integral method; computational complexity reduction; efficiency; finite-element method; hybrid method; inhomogeneous objects; interior resonance; matrix condition number; memory requirement requirement; multilevel fast multipole algorithm; weighting functions; Computational complexity; Electromagnetic scattering; Finite element methods; Helium; Integral equations; MLFMA; Nonhomogeneous media; Nonuniform electric fields; Resonance; Resonant frequency;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.662648

Filename

662648