Sparse representations of integral equations in a localizing basis | Zendy

Adams R. J. | Zendy; Canning F. X. | Zendy; Zhu A. | Zendy

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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

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