Selecting constraints in dual-primal FETI methods for elasticity in three dimensions

Lecture Notes in Computational Science and Engineering

Volumn 40, Issue , 2005, Pages 67-81

  Klawonn, Axel ^a   Widlund, Olof B ^b  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COEFFICIENT DISTRIBUTION; CONTINUITY CONSTRAINTS; DUAL LAGRANGE MULTIPLIERS; ELASTICITY PROBLEMS; ITERATIVE SUBSTRUCTURING; LINEAR ELASTICITY PROBLEMS; MATERIAL COEFFICIENTS; THREE-DIMENSIONAL ELASTICITY;

ALGORITHMS; DOMAIN DECOMPOSITION METHODS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; NUMBER THEORY; PARTIAL DIFFERENTIAL EQUATIONS;

ELASTICITY;

EID: 84880356928     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (9)

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2. C. Farhat, M. Lesoinne, P. Le Tallec, K. Pierson, and D. Rixen. FETI-DP: A dual-primal unified FETI method part i: A faster alternative to the two-level FETI method. Int. J. Numer. Meth. Engrg., 50:1523-1544, 2001.
3. C. Farhat, M. Lesoinne, and K. Pierson. A scalable dual-primal domain decomposition method. Numer. Lin. Alg. Appl., 7:687-714, 2000.
4. A. Klawonn, O. Rheinbach, and O. B. Widlund. Some computational results for Dual-Primal FETI methods for three dimensional elliptic problems. In R. Kornhuber, R. Hoppe, D. Keyes, J. Périaux, O. Pironneau, and J. Xu, editors, Domain Decomposition Methods. Springer-Verlag, Lecture Notes in Computational Science and Engineering, 2003. Proceedings of the 15th International Conference on Domain Decomposition Methods, Berlin, July 21-25, 2003.
5. A. Klawonn and O. Widlund. Dual-Primal FETI methods for linear elasticity. Technical report, Courant Institute of Mathematical Sciences, Department of Computer Science, 2004. In preparation.
6. A. Klawonn and O. B. Widlund. FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Comm. Pure Appl. Math., 54:57-90, January 2001.
7. A. Klawonn, O. B. Widlund, and M. Dryja. Dual-Primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. SIAM J.Numer.Anal., 40, 159-179 2002a.
8. A. Klawonn, O. B. Widlund, and M. Dryja. Dual-Primal FETI methods with face constraints. In L. F. Pavarino and A. Toselli, editors, Recent developments in domain decomposition methods, pages 27-40. Springer-Verlag, Lecture Notes in Computational Science and Engineering, Volume 23, 2002b.
9. J. Mandel and R. Tezaur. On the convergence of a dual-primal substructuring method. Numer. Math., 88:543-558, 2001.