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A Modified Helmholtz Equation With Impedance Boundary Conditions

Published online by Cambridge University Press:  03 June 2015

Robert S. Callihan  and
Aihua W. Wood
Robert S. Callihan
Affiliation:
Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH 45433, USA
Aihua W. Wood*
Affiliation:
Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH 45433, USA
*
*Corresponding author. Email: Email:[email protected]
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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 confirmed. Numerical experiments show the accuracy and robustness of the method.

Keywords

65N3065N15Helmholtz equationimpedance boundary conditionsfinite element method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 6 , December 2012 , pp. 703 - 718
Copyright
Copyright © Global-Science Press 2012

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