A Least-Squares FEM for the Direct and Inverse Rectangular Cavity Scattering Problem

This paper is concerned with the scattering problem of a rectangular cavity. We solve thisproblem by a least-squares nonpolynomial finite element method. In the method, we use Fourier-Bessel functions to capture the behaviors of the total field around corners. And the scattered field towards infinit...

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Veröffentlicht in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-10
Hauptverfasser: Zheng, Enxi, Wang, Yujie, Ma, Fuming
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is concerned with the scattering problem of a rectangular cavity. We solve thisproblem by a least-squares nonpolynomial finite element method. In the method, we use Fourier-Bessel functions to capture the behaviors of the total field around corners. And the scattered field towards infinity is represented by a combination of half-space Green functions. Then we analyze the convergence and give an error estimate of the method. By coupling the least-squares nonpolynomial finite element method and the Newton method, we proposed an algorithm for the inverse scattering problem. Numerical experiments are presented to show the effectiveness of our method.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/524345