NDLI: Computing Interpolation Weights in AMG Based on Multilevel Schur Complements

Content Provider	Springer Nature Link
Author	Kraus, J. K.
Copyright Year	2004
Abstract	This paper presents a particular construction of neighborhood matrices to be used in the computation of the interpolation weights in AMG (algebraic multigrid). The method utilizes the existence of simple interpolation matrices (piecewise constant for example) on a hierarchy of coarse spaces (grids). Then one constructs by algebraic means graded away coarse spaces for any given fine-grid neighborhood. Next, the corresponding stiffness matrix is computed on this graded away mesh, and the actual neighborhood matrix is obtained by computing the multilevel Schur complement of this matrix where degrees of freedom outside the neighborhood have to be eliminated. The paper presents algorithmic details, provides model complexity analysis as well as some comparative tests of the quality of the resulting interpolation based on the multilevel Schur complements versus element interpolation based on the true element matrices.
Starting Page	319
Ending Page	335
Page Count	17
File Format	PDF
ISSN	0010485X
Journal	Computing
Volume Number	74
Issue Number	4
e-ISSN	14365057
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-12-08
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Algebraic multigrid multilevel Schur complements element-free interpolation graded away coarsening Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Computational Theory and Mathematics Computational Mathematics Numerical Analysis Computer Science Applications Software

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