A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems

  title={A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems},
  author={Yalchin Efendiev and Juan Galvis},
We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield condition number bound independent of the contrast in the media properties. These coarse spaces are an extension of the spaces discussed in [3]. Second order elliptic equations are considered. We present theoretical and numerical results. Detailed description of the results and numerical studies will be presented elsewhere. 

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
12 Extracted Citations
8 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.
Showing 1-10 of 12 extracted citations

Referenced Papers

Publications referenced by this paper.
Showing 1-8 of 8 references

Domain decomposition methods—algorithms and theory

  • A. Toselli, O. Widlund
  • volume 34 of Springer Series in Computational…
  • 2005
1 Excerpt

Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients

  • Y. Zhu
  • Domain Decomposition Methods — Algorithms and…
  • 2005

On an energy minimizing basis for algebraic multigrid methods

  • J. Xu, L. Zikanov
  • Comput Visual Sci, 7:121–127
  • 2004
1 Excerpt

Spectral AMGe

  • T. Chartier, R. Falgout, +5 authors P. S. Vassilevski
  • SIAM SCI, 25
  • 2003
2 Excerpts

Similar Papers

Loading similar papers…