@Article{AAMM-4-703,
author = {Callihan , Robert S. and Wood , Aihua W.},
title = {A Modified Helmholtz Equation with Impedance Boundary Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {6},
pages = {703--718},
abstract = {<p style="text-align: justify;">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. &nbsp;A Green&#39;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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-12S02},
url = {http://global-sci.org/intro/article_detail/aamm/144.html}
}