A domain decomposition preconditioner for multiscale high-contrast problems

Lecture Notes in Computational Science and Engineering

Volumn 78 LNCSE, Issue , 2010, Pages 189-196

  Efendiev, Yalchin ^a   Galvis, Juan ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVE SCHWARZ PRECONDITIONERS; DOMAIN DECOMPOSITIONS; HIGH CONTRAST; MEDIA PROPERTIES; MULTISCALES; NUMERICAL RESULTS; NUMERICAL STUDIES; PRECONDITIONERS; SECOND ORDER ELLIPTIC; YIELD CONDITIONS;

CONTRAST MEDIA; NUMBER THEORY;

DOMAIN DECOMPOSITION METHODS;

EID: 78650568716     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-11304-8_20     Document Type: Conference Paper

References (8)

1. T. Chartier, R. D. Falgout, V. E. Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and P. S. Vassilevski. Spectral AMGe (ρAMGe). SIAM J. Sci. Comput., 25(1):1-26, 2003.
2. Y. Efendiev and T. Y. Hou. Multiscale Finite Element Methods: Theory and applications, volume 4 of Surveys and Tutorials in the Applied Mathematical Sciences. Springer.
3. J. Galvis and Y. Efendiev. Domain decomposition preconditioners for multiscale flows in high contrast media. to appear in SIAM MMS.
4. I. G. Graham, P. O. Lechner, and R. Scheichl. Domain decomposition for multiscale PDEs. Numer. Math., 106(4):589-626, 2007.
5. A. Toselli and O. Widlund. Domain Decomposition Methods-Algorithms and Theory, volume 34 of Springer Series in Computational Mathematics. Springer, Berlin, 2005.
6. J. Xu and Y. Zhu. Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients. Math. Models Methods Appl. Sci., 18(1):77-105, 2008.
7. J. Xu and L. Zikatanov. On an energy minimizing basis for algebraic multigrid methods. Comput. Vis. Sci., 7 (3-4): 121-127, 2004.
8. Y. Zhu. Domain decomposition preconditioners for elliptic equations with jump coefficients. Numer. Linear Algebra Appl., 15 (2-3): 271-289, 2008.