Algebraic Multigrid Method on Lattice Block Materials

Shi Shu (), Jinchao Xu (), Yingxiong Xiao () and Ludmil Zikatanov
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Shi Shu: Xiangtan University, Institute for Computational and Applied Mathematics
Jinchao Xu: Pennsylvania State University, Department of Mathematics and Center for Computational Mathematics and Applications
Yingxiong Xiao: Xiangtan University, Institute for Computational and Applied Mathematics
Ludmil Zikatanov: Pennsylvania State University, Department of Mathematics and Center for Computational Mathematics and Applications

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 289-307 from Springer

Abstract: Abstract In this paper, we construct and numerically analyze a class of algebraic multi-grid methods applied to discrete mathematical models for lattice block materials. Some extensive numerical experiments and comparison results are presented. They clearly demonstrate that the constructed algebraic mutigrid method is uniformly convergent with respect to the size of the lattice and some crucial parameters.

Keywords: Lattice Block Materials; Algebraic Multigrid; ILU; PCG (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_21

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DOI: 10.1007/978-1-4615-0113-8_21

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