Domain Decomposition for Heterogeneous Media

Lecture Notes in Computational Science and Engineering

Volumn 55, Issue , 2007, Pages 573-578

  Graham, Ivan G ^a   Lechner, Patrick O ^a  

^a University of Bath ^*  (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COARSENING; OSTWALD RIPENING;

ELLIPTIC PROBLEM; HETEROGENEOUS MEDIA; MULTISCALE FINITE ELEMENT; PRECONDITIONERS; STANDARD DOMAINS; SUB-DOMAINS;

DOMAIN DECOMPOSITION METHODS;

EID: 84880383698     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-34469-8_71     Document Type: Article

References (8)

1. J. Aarnes and T. Y. Hou, Multiscale domain decomposition methods for elliptic problems with high aspect ratios, Acta Mathematicae Applicatae Sinica (English Series), 18 (2002), pp. 63-76.
2. T. F. Chan and T. P. Mathew, Domain Decomposition Survey, Cambridge University Press, 1994, pp. 61-143.
3. G. Dagan and S. P. Neumann, Subsurface Flow and Transport: A Stochastic Approach, Cambridge University Press, 1987.
4. M. Dryja and O. B. Widlund, Domain decomposition algorithms with small overlap, SIAM J. Sci. Comput., 15 (1994), pp. 604-620.
5. T. Y. Hou and X.-H. Wu, A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comp. Phys., (1997), pp. 169-189.
6. T. Y. Hou, X.-H. Wu, and Z. Cai, Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients, Math. Comp., 68 (1999), pp. 913-943.
7. P. O. Lechner, PhD thesis, Department of Mathematical Sciences, University of Bath, 2006. In preparation.
8. A. Toselli and O. B. Widlund, Domain Decomposition Methods-Algorithms and Theory, vol. 34 of Series in Computational Mathematics, Springer, 2005.