A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients

Numerische Mathematik

Volumn 99, Issue 4, 2005, Pages 645-656

  Dryja, Maksymilian ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14544293500     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0573-2     Document Type: Article

References (10)

1. 2AN, 31, 289-302 (1997)
2. Bernardi, C., Maday, Y., Patera, A.T.: A new nonconforming approach to domain decomposition: the mortar method. In Nonlinear Partial Differential Equations and their Applications. College de France Seminar, H. Brezis and J.- L. Lions, eds., Pitman Research Notes in Mathematics, Longman, Harlow, 13-51 (1994)
3. Braess, D., Dahmen, W.: Stability estimates of the mortar finite element method for 3 - dimensional problems. East-West J. Numer. Math., v. 6, 249-263 (1998)
4. Dryja, M.: An iterative substructuring method for elliptic mortar finite element problems with discontinuous coefficients. In: Domain Decomposition Method 10, The Tenth International Conference on Domain Decomposition Methods, 1997, Boulder CO, J. Mandel, Ch. Farhat and X.- C. Cai, eds., Contemporary Mathematics, 218, AMS, Providence, RI, 94-103 (1998)
5. Dryja, M., Widlund, O.B.: Schwarz method of Neumann-Neumann type for three-dimensional elliptic finite element problems. Comm. Pure Appl. Math., 48, 121-155 (1995)
6. Dryja, M., Smith, B.F., Widlund, O.: Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. SIAM J. Numer. Analysis, 31, 1662-1694 (1994)
7. Mandel, J., Brezina, M.: Balancing domain decomposition for problems with large jumps in coefficients. Math. Comp., 65, 1387-1401 (1996)
8. Toselli, A., Widlund, O.B.: Domain Decomposition Methods: Algorithms and Theory, Springer Verlag (2004), to appear
9. Smith, B.F., Bjørstad, P.E., Gropp, W.D.: Domain Decomposition: Parallel Multilevel Methods for Partial Differential Equations, Cambridge University Press (1996)
10. Wohlmuth, B.I.: Discretization Methods and Iterative Solvers Based on Domain Decomposition. Lecture Notes in Computational Science and Engineering, M. Griebel, D. E. Keyes, R. M. Nieminem, D. Roose and T. Schlick, eds., Spring-Verlag, Berlin (2001)