FETI-DP for Elasticity with Almost Incompressible Material Components

被引：0

作者：

Gippert, Sabrina ^{[1
]}

Klawonn, Axel ^{[1
]}

Rheinbach, Oliver ^{[1
]}

机构：

[1] Lehrstuhl für Numerische Mathematik, Universität Duisburg-Essen

来源：

Lecture Notes in Computational Science and Engineering | 2013年 / 91卷

关键词：

Compendex;

D O I：

10.1007/978-3-642-35275-1_41

中图分类号：

学科分类号：

摘要：

[No abstract available]

引用

页码：353 / 360

页数：7

共 16 条

[1] Farhat C., Lesoinne M., Pierson K., A scalable dual-primal domain decomposition method. Preconditioning techniques for large sparse matrix problems in industrial applications, Numer. Linear Algebra Appl., 7, 7-8, pp. 687-714, (2000)
[2] Farhat C., Lesoinne M., LeTallec P., Pierson K., Rixen D., FETI-DP: A dual-primal unified FETI method. I. A faster alternative to the two-level FETI method, Internat. J. Numer. Methods Engrg., 50, 7, pp. 1523-1544, (2001)
[3] Gippert S., Klawonn A., Rheinbach O., Analysis of FETI-DP and BDDC for linear elasticity in 3D with almost incompressible components and varying coefficients inside subdomains, (2012)
[4] Goldfeld P., Pavarino L.F., Widlund O.B., Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity, Numer. Math., 95, 2, pp. 283-324, (2003)
[5] Klawonn A., Rheinbach O., A parallel implementation of Dual-Primal FETI methods for three dimensional linear elasticity using a transformation of basis, SIAM J. Sci. Comput., 28, pp. 1886-1906, (2006)
[6] Klawonn A., Rheinbach O., Robust FETI-DP methods for heterogeneous three dimensional linear elasticity problems, Comput. Methods Appl. Mech. Engrg., 196, pp. 1400-1414, (2007)
[7] Klawonn A., Widlund O.B., Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions, Domain Decomposition Methods in Science and Engineering, Lecture Notes Comput. Sci. Eng., 40, pp. 67-81, (2005)
[8] Klawonn A., Widlund O.B., Dual-Primal FETI Methods for Linear Elasticity, Comm. Pure Appl. Math, 59, pp. 1523-1572, (2006)
[9] Klawonn A., Rheinbach O., Wohlmuth B.I., Dual-primal iterative substructuring for almost incompressible elasticity, Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computational Science and Engineering, 2007. Proceedings of the 16th International Conference on Domain Decomposition Methods, 55, pp. 397-404, (2005)
[10] Li J., Widlund O.B., BDDC algorithms for incompressible Stokes equations, SIAM J. Numer. Anal., 44, 6, pp. 2432-2455, (2006)

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