BOUNDARY-INTEGRAL METHODS FOR ITERATIVE SOLUTION OF SCATTERING PROBLEMS WITH VARIABLE IMPEDANCE SURFACE CONDITION
Author(s) -
Francis Collino,
Florence Millot,
Sébastien Pernet
Publication year - 2008
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier07103105
Subject(s) - variable (mathematics) , surface (topology) , mathematical analysis , integral equation , scattering , boundary value problem , electrical impedance , mathematics , boundary (topology) , geometry , physics , optics , quantum mechanics
We present an efficient boundary element method to solve electromagnetic scattering problems relative to an impedance boundary condition on an obstacle of arbitrary shape in the frequency domain. In particular, the technique is based on a Combined Field Integral Equation (CFIE) and is well adapted to treat the partially coated objects. Some methods are then proposed in order to eliminate the magnetic current and to treat correctly the rotation operator n ×· (where n is the unit outward normal). After discretization, the final system is solved by an iterative method coupled with the Fast Multipole Method (FMM). Finally, a numerical comparison with a well-tried method to solve this kind of problem proves that we have proposed an attractive technique in terms of memory storage and CPU time.
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