TY - JOUR
T1 - Using Reduced Meshes for Simulation of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain
AU - Asch , M.
AU - Mefire , S. M.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 50
EP - 88
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/756.html
KW - Inverse problems, Maxwell equations, electric fields, inhomogeneities, Current Projection method, MUSIC method, FFT, edge elements, numerical measurements, composite numerical integrations.
AB - <p style="text-align: justify;">We are concerned in this work with simulations of the localization of a finite number
of small electromagnetic inhomogeneities contained in a three-dimensional bounded domain. Typically, the underlying inverse problem considers the time-harmonic Maxwell equations formulated
in electric field in this domain and attempts, from a finite number of boundary measurements,
to localize these inhomogeneities. Our simulations are based on an approach that combines an
asymptotic formula for perturbations in the electromagnetic fields, a suited inversion process, and
finite element meshes derived from a non-standard discretization process of the domain. As opposed to a recent work, where the usual discretization process of the domain was employed in the
computations, here we localize inhomogeneities that are one order of magnitude smaller.</p>