Authors: Jinchao Xu Ludmil Zikatanov
Publish Date: 2004/10/01
Volume: 7, Issue: 3-4, Pages: 121-127
Abstract
This paper is devoted to the study of an energy minimizing basis first introduced in Wan Chan and Smith 2000 for algebraic multigrid methods The basis will be first obtained in an explicit and compact form in terms of certain local and global operators The basis functions are then proved to be locally harmonic functions on each coarse grid “element” Using these new results it is illustrated that this basis can be numerically obtained in an optimal fashion In addition to the intended application for algebraic multigrid method the energy minimizing basis may also be applied for numerical homogenization
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