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Sparse representations of integral equations in a localizing basis
Author(s) -
Adams R. J.,
Canning F. X.,
Zhu A.
Publication year - 2005
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.21135
Subject(s) - basis (linear algebra) , basis function , boundary (topology) , microwave , impedance parameters , integral equation , matrix (chemical analysis) , mathematical analysis , mathematics , electrical impedance , algorithm , computer science , geometry , engineering , telecommunications , electrical engineering , materials science , composite material
A compression algorithm is presented for discrete representations of boundary‐integral operators. The algorithm relies on an expansion of the unknown surface currents in a numerically determined basis of functions that are simultaneously localized to small regions on a large target while also satisfying global boundary conditions. It is shown that the resulting local–global solution (LOGOS) modes provide efficient approximations of the impedance matrix at low to moderate frequencies. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 47: 236–240, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21135