@Article{IJNAM-5-491,
author = {},
title = {A Characterization of Singular Electromagnetic Fields by an Inductive Approach},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {3},
pages = {491--515},
abstract = {<p style="text-align: justify;">In this article, we are interested in the mathematical
modeling of singular electromagnetic fields, in a non-convex polyhedral
domain. We first describe the local trace (i. e. defined on a face) of
the normal derivative of an $L^2$ function, with $L^2$ Laplacian. Among
other things, this allows us to describe dual singularities of the
Laplace problem with homogeneous Neumann boundary condition. We then
provide generalized integration by parts formulae for the Laplace,
divergence and curl operators. With the help of these results, one can
split electromagnetic fields into regular and singular parts, which are
then characterized. We also study the particular case of divergence-free
and curl-free fields, and provide non-orthogonal decompositions that are
numerically computable.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/823.html}
}