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
Schlagworte:	Algorithms Bessel functions Corners Error analysis Finite element analysis Finite element method Fourier-Bessel transformations Green's functions Half spaces Holes Integral equations Inverse problems Inverse scattering Least squares Least squares method Mathematical analysis Mathematical models Mathematical problems Methods Newton methods Noise Nonlinear programming Numerical analysis Optimization Scattering
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