Abstract
A multigrid scheme naturally contained in wavelet expansion methods is presented. Careful examination of the wavelet matrix reveals matrix representations of an integral operator at various coarse levels that can be identified as nested submatrices of the original wavelet matrix at the finest level. Hence, this wavelet multigrid scheme entails no additional computational efforts for the construction of coarser representations. Moreover, this wavelet multigrid algorithm fully exploits the wavelet matrix structures—sparsity and multiscale representation. Numerical examples show that this wavelet multigrid scheme offers a fast and robust technique for electromagnetic field computations in unbounded regions. ©2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 24: 86–91, 2000.
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