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2012 A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner
Fabio Henrique Pereira, Sílvio Ikuyo Nabeta
J. Appl. Math. 2012(SI12): 1-15 (2012). DOI: 10.1155/2012/894074


This work introduces a new parallel wavelet-based algorithm for algebraic multigrid method (PWAMG) using a variation of the standard parallel implementation of discrete wavelet transforms. This new approach eliminates the grid coarsening process in traditional algebraic multigrid setup phase simplifying its implementation on distributed memory machines. The PWAMG method is used as a parallel black-box solver and as a preconditioner in some linear equations systems resulting from circuit simulations and 3D finite elements electromagnetic problems. The numerical results evaluate the efficiency of the new approach as a standalone solver and as preconditioner for the biconjugate gradient stabilized iterative method.


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Fabio Henrique Pereira. Sílvio Ikuyo Nabeta. "A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner." J. Appl. Math. 2012 (SI12) 1 - 15, 2012.


Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.65256
MathSciNet: MR2935538
Digital Object Identifier: 10.1155/2012/894074

Rights: Copyright © 2012 Hindawi


Vol.2012 • No. SI12 • 2012
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