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IEEE Transactions on Antennas and Propagation
Volume 46 Number 3, March 1998

Table of Contents for this issue

Complete paper in PDF format

On the Formulation of Hybrid Finite-Element and Boundary-Integral Methods for 3-D Scattering

Xin-Qing Sheng, Jian-Ming Jin, Senior Member, IEEE, Jiming Song, Member, IEEE, Cai-Cheng Lu, Member, IEEE, and Weng Cho Chew, Fellow, IEEE

Page 303.

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.

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