A Modified Helmholtz Equation with Impedance Boundary Conditions
Document Type
Article
Publication Date
12-2012
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.
Source Publication
Advances in Applied Mathematics and Mechanics (ISSN 2070-0733)
Recommended Citation
Callihan, R. S., & Wood, A. W. (2012). A Modified Helmholtz Equation with Impedance Boundary Conditions. Advances in Applied Mathematics and Mechanics, 4(6), 703–718. https://doi.org/10.4208/aamm.12-12S02
Comments
©2012 Global Science Press.
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This article was reviewed in MathSciNet (Mathematical Reviews) at MR2998293.