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Author Canning, F.X.
Sponsorship IEEE Magnetics Society
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1965
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Physics ♦ Electricity & electronics ♦ Technology ♦ Engineering & allied operations ♦ Applied physics
Subject Keyword Scattering ♦ Sparse matrices ♦ Matrix decomposition ♦ Moment methods ♦ Message-oriented middleware ♦ Testing ♦ Canning ♦ Iterative methods ♦ Integral equations ♦ Fast Fourier transforms
Abstract The interaction matrix localization (IML) replaces the usual N-by-N moment method matrix, with N/sup 2/ nonzero elements, by a sparse N-by-N matrix with roughly 100 N nonzero elements. It gives a similar reduction in the number of operations required per iteration for iterative solution methods. While these savings are significant, additional reductions are possible by using the structure of the sparse matrix to develop preconditioners which allow a solution in fewer iterative steps. The method considered is preconditioning by incomplete LU (ILU) decomposition. A problem is solved with N=15000 using less memory than that required for N=1500 problems using standard methods. The number of operations necessary to iteratively solve for each incidence angle (i.e., the right hand side of the matrix problem) is approximately equal to the number of operations needed by standard methods to solve for each right hand side, even after the inverse of the moment method matrix has been calculated. Saving orders of magnitude in the storage needed and in the execution time needed extends the range of applicability of the moment method to significantly larger bodies.<<ETX>>
Description Author affiliation :: Rockwell Sci. Center, Thousand Oaks, CA, USA
ISSN 00189464
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1991-09-01
Publisher Place U.S.A.
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Volume Number 27
Issue Number 5
Size (in Bytes) 318.32 kB
Page Count 4
Starting Page 4275
Ending Page 4278

Source: IEEE Xplore Digital Library