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

Enxi Zheng, Fuming Ma and Yujie Wang

Mathematical Problems in Engineering, 2015, vol. 2015, 1-10

Abstract:

This paper is concerned with the scattering problem of a rectangular cavity. We solve this problem 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:524345

DOI: 10.1155/2015/524345

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