Volume 4, Issue 6
A Modified Helmholtz Equation with Impedance Boundary Conditions

Robert S. Callihan and Aihua W. Wood

10.4208/aamm.12-12S02

Adv. Appl. Math. Mech., 4 (2012), pp. 703-718.

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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.

  • History

Published online: 2012-12

  • AMS Subject Headings

65N30, 65N15

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