A Wavelet-Based Algebraic Multigrid Preconditioning for Iterative Solvers in Finite-Element Analysis
| Autor: | S.L.L. Verardi, José Roberto Cardoso, M.F. Palin, Viviane Cristine Silva, Fabio Henrique Pereira, Silvio Ikuyo Nabeta |
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| Rok vydání: | 2007 |
| Předmět: |
Computer science
Differential equation Iterative method Preconditioner Linear system MathematicsofComputing_NUMERICALANALYSIS Incomplete Cholesky factorization Computer Science::Numerical Analysis Finite element method Mathematics::Numerical Analysis Electronic Optical and Magnetic Materials Multigrid method Biconjugate gradient stabilized method Conjugate gradient method ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Computer Science::Mathematical Software Applied mathematics Computational electromagnetics Electrical and Electronic Engineering Coefficient matrix Cholesky decomposition |
| Zdroj: | IEEE Transactions on Magnetics. 43:1553-1556 |
| ISSN: | 0018-9464 |
| DOI: | 10.1109/tmag.2007.892468 |
| Popis: | A new approach for algebraic multigrid, based on wavelets, is presented as an efficient preconditioner for iterative solvers applied to the solution of linear systems issued from finite-element analysis. It can be applied to complex systems in which the coefficient matrix violates the M-matrix property, as those arising from ungauged edge-based AV finite-element formulation. When used as a preconditioner for the biconjugate gradient stabilized method it is shown that the proposed technique is more efficient than incomplete Cholesky preconditioner |
| Databáze: | OpenAIRE |
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