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 language | English (US) |
---|---|
Title of host publication | Domain Decomposition Methods in Science and Engineering XIX |
Pages | 407-414 |
Number of pages | 8 |
DOIs | |
State | Published - 2010 |
Externally published | Yes |
Event | 19th International Conference on Domain Decomposition, DD19 - Zhanjiajie, China Duration: Aug 17 2009 → Aug 22 2009 |
Publication series
Name | Lecture Notes in Computational Science and Engineering |
---|---|
Volume | 78 LNCSE |
ISSN (Print) | 1439-7358 |
Other
Other | 19th International Conference on Domain Decomposition, DD19 |
---|---|
Country/Territory | China |
City | Zhanjiajie |
Period | 08/17/09 → 08/22/09 |
Bibliographical note
Funding Information:§ The work of this author was performed under the auspices of the U.S. DOE by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344.
Funding Information:
‡ The work of Y.E. is partially supported by NSF and DOE.
ASJC Scopus subject areas
- Modeling and Simulation
- General Engineering
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Mathematics