AMGe based on element agglomeration

Citation
Je. Jones et Ps. Vassilevski, AMGe based on element agglomeration, SIAM J SC C, 23(1), 2001, pp. 109-133
Citations number
17
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN journal
10648275 → ACNP
Volume
23
Issue
1
Year of publication
2001
Pages
109 - 133
Database
ISI
SICI code
1064-8275(20010627)23:1<109:ABOEA>2.0.ZU;2-W
Abstract
This paper contains the main ideas for an AMGe ( algebraic multigrid for fi nite elements) method based on element agglomeration. In the method, coarse grid elements are formed by agglomerating ne grid elements. Compatible int erpolation operators are constructed which yield coarse grid basis function s 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.