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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2007, Volume 10, Number 1, Pages 61–76 (Mi sjvm67)  

On a modification of algebraic multilevel iteration method for finite element matrices

M. R. Larin

Institute für Geometrie und Praktische Mathematik, Germany
References:
Abstract: Today, multigrids and multilevel methods for solving a sparse linear system of equations are well known. They are both robust and efficient. In [6], the algebraic multilevel iteration (AMLI) method for finite element matrices has been proposed. However, this method has two restrictions on the properties of the original matrix, which can fail in practice. To avoid them and to improve the quality of the AMLI-preconditioner, a family of relaxation parameters is suggested and analyzed.
Key words: algebraic multilevel iterative method, preconditioned conjugate gradient method, finite element matrices.
Received: 11.05.2005
UDC: 519.6
MSC: 65F10, 65N20
Language: English
Citation: M. R. Larin, “On a modification of algebraic multilevel iteration method for finite element matrices”, Sib. Zh. Vychisl. Mat., 10:1 (2007), 61–76
Citation in format AMSBIB
\Bibitem{Lar07}
\by M.~R.~Larin
\paper On a~modification of algebraic multilevel iteration method for finite element matrices
\jour Sib. Zh. Vychisl. Mat.
\yr 2007
\vol 10
\issue 1
\pages 61--76
\mathnet{http://mi.mathnet.ru/sjvm67}
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