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A fast wavelet multigrid algorithm for solution of electromagnetic integral equations

✍ Scribed by Gaofeng Wang; Robert W. Dutton; Jiechang Hou

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
144 KB
Volume
24
Category
Article
ISSN
0895-2477

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✦ Synopsis

A multigrid scheme naturally contained in wa¨elet expansion methods is presented. Careful examination of the wa¨elet matrix re¨eals matrix representations of an integral operator at ¨arious coarse le¨els that can be identified as nested submatrices of the original wa¨elet matrix at the finest le¨el. Hence, this wa¨elet multigrid scheme entails no additional computational efforts for the construction of coarser representations. Moreo¨er, this wa¨elet multigrid algorithm fully exploits the wa¨elet matrix structuresᎏsparsity and multiscale representation. Numerical examples show that this wa¨elet multigrid scheme offers a fast and robust technique for electromagnetic field computations in unbounded regions.

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