Catalogo Articoli (Spogli Riviste)
OPAC HELP
Titolo: Energy optimization of algebraic multigrid bases
Autore: Mandel, J; Brezina, M; Vanek, P;
- Indirizzi:
- Univ Colorado, Dept Math, Denver, CO 80217 USA Univ Colorado Denver CO USA 80217 lorado, Dept Math, Denver, CO 80217 USA Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA Univ Colorado Boulder CO USA 80309 Dept Appl Math, Boulder, CO 80309 USA Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA Univ Calif Los Angeles Los Angeles CA USA 90095 Los Angeles, CA 90095 USA
- Titolo Testata:
- COMPUTING
fascicolo: 3,
volume: 62,
anno: 1999,
pagine: 205 - 228
- SICI:
- 0010-485X(1999)62:3<205:EOOAMB>2.0.ZU;2-3
- Fonte:
- ISI
- Lingua:
- ENG
- Soggetto:
- FINITE-ELEMENT METHOD; DOMAIN DECOMPOSITION; ALGORITHM;
- Keywords:
- algebraic multigrid; constrained optimization;
- Tipo documento:
- Article
- Natura:
- Periodico
- Settore Disciplinare:
- Engineering, Computing & Technology
- Citazioni:
- 35
- Recensione:
- Indirizzi per estratti:
- Indirizzo: Mandel, J Univ Colorado, Dept Math, Denver, CO 80217 USA Univ Colorado Denver CO USA 80217 pt Math, Denver, CO 80217 USA
-
-
-
- Citazione:
- J. Mandel et al., "Energy optimization of algebraic multigrid bases", COMPUTING, 62(3), 1999, pp. 205-228
Abstract
We propose a fast iterative method to optimize coarse basis functions in algebraic multigrid by minimizing the sum of their energies, subject to the condition that linear combinations of the basis functions equal to given zero energy modes, and subject to restrictions on the supports of the coarse basis functions. For a particular selection of the supports, the first iteration gives exactly the same basis functions as our earlier method using smoothed aggregation. The convergence rate of the minimization algorithm is bounded independently of the mesh size under usual assumptions on finite elements. The construction is presented for scalar problems as well as for linear elasticity. Computational results on difficult industrial problems demonstrate that the use of energy minimal basis functions improves algebraic multigrid performance and yields a more robust multigrid algorithm than smoothed aggregation.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 20/06/13 alle ore 02:01:10