An efficient finite element-boundary integral method solving electromagnetic scattering problems

The “conventional” finite element‐boundary integral (FE‐BI) method suffers from two major drawbacks, one is the huge computer resources required by the dense BI submatrix; the other is the slow convergence rate of the resulting linear system of equations. In this article, both the drawbacks are inve...

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Bibliographic Details
Published in:Microwave and optical technology letters Vol. 51; no. 9; pp. 2065 - 2071
Main Authors: An, Xiang, Lü, Zhi-Qing
Format: Journal Article
Language:English
Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.09.2009
Subjects:
electromagnetic scattering
fast Fourier transform
finite element method
integral equation
preconditioner
ISSN:0895-2477, 1098-2760
Online Access:Get full text
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Summary:The “conventional” finite element‐boundary integral (FE‐BI) method suffers from two major drawbacks, one is the huge computer resources required by the dense BI submatrix; the other is the slow convergence rate of the resulting linear system of equations. In this article, both the drawbacks are investigated. First, the integral equation fast Fourier transform (IE‐FFT) algorithm with a Gaussian interpolation scheme is employed to deal with the BI part. Second, an effective and simple preconditioner is developed for solving the matrix equation obtained from FE‐BI method. Numerical results show that the proposed preconditioner can dramatically speed up the convergence of the FE‐BI system, whatever the combined field integral equation (CFIE), the electric field integral equation (EFIE), and the magnetic field integral equation (MFIE) are employed on the truncation boundary. Some examples are given to demonstrate the accuracy and efficiency of the method. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 2065–2071, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24538
Bibliography:National Science Foundation of China - No. 60801039
ark:/67375/WNG-BFH62S2F-R
ArticleID:MOP24538
istex:6CDA4F723D1674F5EFC67496DBF515CC6B73A54D
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0895-2477
1098-2760
DOI:10.1002/mop.24538