Wavelet-Based Algebraic Multigrid Method Using the Lifting Technique

Journal of Microwaves Optoelectronics and Electromagnetic Applications

Endereço:
Praça Mauá, 1
São Caetano do Sul / SP
09580-900
Site: http://www.jmoe.org
Telefone: (11) 4238-8988
ISSN: 2179-1074
Editor Chefe: Maria Thereza Miranda Rocco Giraldi e Renato Cardoso Mesquita
Início Publicação: 30/04/1997
Periodicidade: Semestral
Área de Estudo: Engenharia elétrica

Wavelet-Based Algebraic Multigrid Method Using the Lifting Technique

Ano: 2010 | Volume: 9 | Número: 1
Autores: Fabio Henrique Pereira, Silvio Ikuyo Nabeta
Autor Correspondente: Fabio Henrique Pereira | [email protected]

Palavras-chave: Algebraic Multigrid, Discrete Wavelet Transform, Iterative methods, Lifting technique.

Resumos Cadastrados

Resumo Inglês:

This paper presents a progress in the development of a
recent and promising wavelet-based Algebraic Multigrid method.
This new approach uses the lifting technique for creating an
algorithm with smaller memory requirement and a reduced
number of floating point operations, if long filters are used, keeping
the efficiency of the multigrid technique, which is tested in the
TEAM 28 Problem. The Incomplete Cholesky and Incomplete LU
preconditioners are used for comparison.This paper presents a progress in the development of a
recent and promising wavelet-based Algebraic Multigrid method.
This new approach uses the lifting technique for creating an
algorithm with smaller memory requirement and a reduced
number of floating point operations, if long filters are used, keeping
the efficiency of the multigrid technique, which is tested in the
TEAM 28 Problem. The Incomplete Cholesky and Incomplete LU
preconditioners are used for comparison.