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Stabilized boundary element methods for low‐frequency electromagnetic scattering
Author(s) -
Weggler Lucy
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1597
Subject(s) - scattering , electromagnetic field , boundary element method , mathematics , boundary (topology) , element (criminal law) , boundary value problem , electromagnetic radiation , finite element method , mathematical analysis , field (mathematics) , extremely low frequency , low frequency , object (grammar) , signal (programming language) , physics , computer science , optics , telecommunications , pure mathematics , quantum mechanics , political science , law , thermodynamics , artificial intelligence , programming language
The electromagnetic scattering at a perfectly conducting object is usually initiated by an incoming electromagnetic field. It is well known that the classical boundary element implementations solving for the scattered electric field are not uniformly stable with respect to the frequency of the incoming signal. The subject of this article is to develop a stabilized boundary element formulation that does not suffer from the so‐called low‐frequency breakdown. The mathematical theory is verified by numerical examples. Copyright © 2012 John Wiley & Sons, Ltd.