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Sparse representations of integral equations in a localizing basis

โœ Scribed by R. J. Adams; F. X. Canning; A. Zhu

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
101 KB
Volume
47
Category
Article
ISSN
0895-2477

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โœฆ Synopsis

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.

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