Some Computational Results for Robust FETI-DP Methods Applied to Heterogeneous Elasticity Problems in 3D

Lecture Notes in Computational Science and Engineering

Volumn 55, Issue , 2007, Pages 389-396

  Klawonn, Axel ^a   Rheinbach, Oliver ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; ITERATIVE METHODS; NUMBER THEORY;

COMPUTATIONAL RESULTS; CONDITION NUMBERS; DISPLACEMENT COMPONENTS; ELASTICITY PROBLEMS; FIRST-ORDER MOMENTS; LINEAR ELASTICITY PROBLEMS; MATERIAL COEFFICIENTS; NUMERICAL EXPERIMENTAL;

DOMAIN DECOMPOSITION METHODS;

EID: 84880357043     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-34469-8_48     Document Type: Article

References (9)

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2. P. G. Ciarlet, Mathematical Elasticity Volume I: Three-Dimensional Elasticity, North-Holland, 1988.
3. C. Farhat, M. Lesoinne, P. LeTallec, K. Pierson, and D. Rixen, FETIDP: A dual-primal unified FETI method-part i: A faster alternative to the twolevel FETI method, Internat. J. Numer. Methods. Engrg., 50 (2001), pp. 1523-1544.
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5. A. Klawonn and O. Rheinbach, A parallel implementation of Dual-Primal FETI methods for three dimensional linear elasticity using a transformation of basis, Tech. Rep. SM-E-601, Department of Mathematics, University of Duisburg-Essen, Germany, February 2005.
6. A. Klawonn and O. Rheinbach, Robust FETI-DP methods for heterogeneous elasticity problems, Tech. Rep. SM-E-607, Department of Mathematics, University of Duisburg-Essen, Germany, July 2005.
7. A. Klawonn and O. Widlund, Dual-Primal FETI methods for linear elasticity, Tech. Rep. 855, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University, New York, September 2004.
8. A. Klawonn and O. B. Widlund, FETI and Neumann-Neumann iterative substructuring methods: Connections and new results, Comm. Pure Appl. Math., 54 (2001), pp. 57-90.
9. D. Rixen and C. Farhat, A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems, Int. J. Numer. Meth. Engrg., 44 (1999), pp. 489-516.