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AMGE Based on Element Agglomeration
by
Jones, Jim E.
, Vassilevski, Panayot S.
in
Algebra
/ Algorithms
/ Exact sciences and technology
/ Laboratories
/ Mathematics
/ Numerical analysis
/ Numerical analysis. Scientific computation
/ Numerical linear algebra
/ Partial differential equations, boundary value problems
/ Sciences and techniques of general use
2002
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AMGE Based on Element Agglomeration
by
Jones, Jim E.
, Vassilevski, Panayot S.
in
Algebra
/ Algorithms
/ Exact sciences and technology
/ Laboratories
/ Mathematics
/ Numerical analysis
/ Numerical analysis. Scientific computation
/ Numerical linear algebra
/ Partial differential equations, boundary value problems
/ Sciences and techniques of general use
2002
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Do you wish to request the book?
AMGE Based on Element Agglomeration
by
Jones, Jim E.
, Vassilevski, Panayot S.
in
Algebra
/ Algorithms
/ Exact sciences and technology
/ Laboratories
/ Mathematics
/ Numerical analysis
/ Numerical analysis. Scientific computation
/ Numerical linear algebra
/ Partial differential equations, boundary value problems
/ Sciences and techniques of general use
2002
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Journal Article
AMGE Based on Element Agglomeration
2002
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Overview
This paper contains the main ideas for an AMGe (algebraic multigrid for finite elements) method based on element agglomeration. In the method, coarse grid elements are formed by agglomerating fine grid elements. Compatible interpolation operators are constructed which yield coarse grid basis functions with a minimal energy property. Heuristics based on interpolation quality measures are used to guide the agglomeration procedure. The performance of the resulting method is demonstrated in two-level numerical experiments.
Publisher
Society for Industrial and Applied Mathematics
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