Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 127-142

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In the present paper, an improved version of the algebraic multilevel iteration (AMLI) method for finite element matrices, which was offered in [6], is proposed. To improve the quality of the AMLI-preconditioner, or (which is the same) to speed up the rate of convergence, a family of iterative parameters defined on an error compensation principle is proposed and analyzed. The performance results on standard test problems are presented and discussed.
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     author = {M. R. Larin},
     title = {Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     number = {2},
     year = {2005},
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M. R. Larin. Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 127-142. http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a3/