Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients

Yalchin Efendiev*, Juan Galvis, Panayot S. Vassilevski

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

27 Scopus citations

Abstract

We apply a recently proposed [5] robust overlapping Schwarz method with a certain spectral construction of the coarse space in the setting of element agglomeration algebraic multigrid methods (or agglomeration AMGe) for elliptic problems with high-contrast coefficients. Our goal is to design multilevel iterative methods that converge independent of the contrast in the coefficients. We present simplified bounds for the condition number of the preconditioned operators. These bounds imply convergence that is independent of the contrast. In the presented preliminary numerical tests, we use geometric agglomerates; however, the algorithm is general and offers some simplifications over the previously proposed spectral agglomerate AMGe methods (cf., [3, 2]).

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XIX
Pages407-414
Number of pages8
DOIs
StatePublished - Dec 3 2010
Event19th International Conference on Domain Decomposition, DD19 - Zhanjiajie, China
Duration: Aug 17 2009Aug 22 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume78 LNCSE
ISSN (Print)1439-7358

Other

Other19th International Conference on Domain Decomposition, DD19
CountryChina
CityZhanjiajie
Period08/17/0908/22/09

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Fingerprint Dive into the research topics of 'Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients'. Together they form a unique fingerprint.

Cite this