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A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner
Joint Authors
Pereira, Fabio Henrique
Nabeta, Sílvio Ikuyo
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-17
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Pereira, Fabio Henrique& Nabeta, Sílvio Ikuyo. 2012. A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029041
Modern Language Association (MLA)
Pereira, Fabio Henrique& Nabeta, Sílvio Ikuyo. A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029041
American Medical Association (AMA)
Pereira, Fabio Henrique& Nabeta, Sílvio Ikuyo. A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029041