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Volume 4, Issue 3, June 2015, Page: 145-151
Meshless Local Petrov-Galerkin Method for Scattering from 2-D Rectangular Cavities in a Ground Plane
Meiling Zhao, School of Mathematics and Physics, North China Electric Power University, Baoding, China
Li Li, School of Control and Computer Engineering, North China Electric Power University, Baoding, China
Received: Apr. 2, 2015;       Accepted: Apr. 29, 2015;       Published: May 23, 2015
DOI: 10.11648/j.acm.20150403.17      View  3458      Downloads  117
Abstract
In this paper, we develop the meshless local Petrov-Galerkin formulation of the scattering from rectangular cavities embedded in a ground plane. The electromagnetic scattering by the cavity is governed by the Helmholtz equation along with Sommerfeld's radiation conditions imposed at infinity. The MLPG method is a truly meshless method wherein no elements or background cells are needed, in either the interpolation or integration. Based on local weak form and the moving least square (MLS) approximation, this truly meshless method is applied to solve the scattering problem. The results of numerical experiments have shown the efficiency and accuracy of the proposed method.
Keywords
Meshless Local Petrov-Galerkin Method, Electromagnetic Scattering, 2-D Rectangular Cavities, Moving Least Square Approximation
To cite this article
Meiling Zhao, Li Li, Meshless Local Petrov-Galerkin Method for Scattering from 2-D Rectangular Cavities in a Ground Plane, Applied and Computational Mathematics. Vol. 4, No. 3, 2015, pp. 145-151. doi: 10.11648/j.acm.20150403.17
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