Deriving the X-Z identity from auxiliary space method

Lecture Notes in Computational Science and Engineering

Volumn 78 LNCSE, Issue , 2010, Pages 309-316

  Chen, Long ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUXILIARY SPACE; LINEAR OPERATOR EQUATIONS;

MATHEMATICAL OPERATORS;

DOMAIN DECOMPOSITION METHODS;

EID: 78651531047     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-11304-8_35     Document Type: Conference Paper

References (7)

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3. S. V. Nepomnyaschikh. Decomposition and fictitious domains methods for elliptic boundary value problems. In Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991), pp. 62-72, SIAM, Philadelphia, PA, 1992.
4. P. S. Vassilevski. Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations. Springer, New York, NY, 2008.
5. J. Xu. Iterative methods by space decomposition and subspace correction. SIAM Rev., 34:581-613, 1992.
6. J. Xu. The auxiliary space method and optimal multigrid preconditioning techniques for unstructured meshes. Computing, 56:215-235, 1996.
7. J. Xu and L. Zikatanov. The method of alternating projections and the method of subspace corrections in Hilbert space. J. Am. Math. Soc., 15:573-597, 2002.