Year: 2012
Author: Robert S. Callihan, Aihua W. Wood
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 703–718
Abstract
Here considered is the problem of transient electromagnetic scattering from overfilled cavities embedded in an impedance ground plane. An artificial boundary condition is introduced on a semicircle enclosing the cavity that couples the fields from the infinite exterior domain to those fields inside. A Green's function solution is obtained for the exterior domain, while the interior problem is solved using finite element method. Well-posedness of the associated variational formulation is achieved and convergence and stability of the numerical scheme are confirmed. Numerical experiments show the accuracy and robustness of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-12S02
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 703–718
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Helmholtz equation impedance boundary conditions finite element method.