A Modified Helmholtz Equation with Impedance Boundary Conditions |
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Authors: | Robert S Callihan & Aihua W Wood |
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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 are confirmed. Numerical experiments show the accuracy and robustness of the method. |
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Keywords: | Helmholtz equation impedance boundary conditions finite element method |
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