AMGE Based on Element Agglomeration
Top Cited Papers
- 1 January 2001
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific Computing
- Vol. 23 (1) , 109-133
- https://doi.org/10.1137/s1064827599361047
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- Algebraic Multigrid Based on Element Interpolation (AMGe)SIAM Journal on Scientific Computing, 2001
- Energy Optimization of Algebraic Multigrid BasesComputing, 1999
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficientsMathematics of Computation, 1999
- An Energy-minimizing Interpolation for Robust Multigrid MethodsSIAM Journal on Scientific Computing, 1999
- On Two Ways of Stabilizing the Hierarchical Basis Multilevel MethodsSIAM Review, 1997
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problemsComputing, 1996