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Direct Solve of Electrically Large Integral Equations for Problem Sizes to 1M UnknownsMatrix methods for solving integral equations via direct solve LU factorization are presently limited to weeks to months of very expensive supercomputer time for problems sizes of several hundred thousand unknowns. This report presents matrix LU factor solutions for electromagnetic scattering problems for problem sizes to one million unknowns with thousands of right hand sides that run in mere days on PC level hardware. This EM solution is accomplished by utilizing the numerical low rank nature of spatially blocked unknowns using the Adaptive Cross Approximation for compressing the rank deficient blocks of the system Z matrix, the L and U factors, the right hand side forcing function and the final current solution. This compressed matrix solution is applied to a frequency domain EM solution of Maxwell's equations using standard Method of Moments approach. Compressed matrix storage and operations count leads to orders of magnitude reduction in memory and run time.
Document ID
20080039649
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Shaeffer, John (Shaeffer (John) Marietta, GA, United States)
Date Acquired
August 24, 2013
Publication Date
September 1, 2008
Subject Category
Electronics And Electrical Engineering
Report/Patent Number
NASA/CR-2008-215353
Funding Number(s)
CONTRACT_GRANT: NAS1-02117
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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