-
1
-
-
0022918065
-
Iterative methods for the solution of elliptic problems on regions partitioned into substructures
-
Bjørstad, P. E.; Widlund, O. B. Iterative methods for the solution of elliptic problems on regions partitioned into substructures. SIAM J. Numer. Anal. 23 (1986), no. 6, 1093-1120.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, Issue.6
, pp. 1093-1120
-
-
Bjørstad, P.E.1
Widlund, O.B.2
-
2
-
-
33749351262
-
Lower bounds in domain decomposition
-
Proceedings of the 16th International Conference on Domain Decomposition Methods, New York, January 12-15. Lecture Notes in Computational Science and Engineering. Springer, Heidelberg, to appear
-
Brenner, S. C. Lower bounds in domain decomposition. Domain decomposition methods in science and engineering. Proceedings of the 16th International Conference on Domain Decomposition Methods, New York, January 12-15, 2005. Lecture Notes in Computational Science and Engineering. Springer, Heidelberg, to appear.
-
(2005)
Domain Decomposition Methods in Science and Engineering
-
-
Brenner, S.C.1
-
5
-
-
1842564155
-
A preconditioner for substructuring based on constrained energy minimization
-
Dohrmann, C. R. A preconditioner for substructuring based on constrained energy minimization. SIAM J. Sci. Comput. 25 (2003), no. 1, 246-258.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, Issue.1
, pp. 246-258
-
-
Dohrmann, C.R.1
-
7
-
-
0028753150
-
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions
-
Dryja, M.; Smith, B. F.; Widlund, O. B. Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. SIAM J. Numer. Anal. 31 (1994), no. 6, 1662-1694.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, Issue.6
, pp. 1662-1694
-
-
Dryja, M.1
Smith, B.F.2
Widlund, O.B.3
-
8
-
-
0001159513
-
Domain decomposition algorithms with small overlap. Iterative methods in numerical linear algebra (Copper Mountain Resort, CO, 1992)
-
Dryja, M.; Widlund, O. B. Domain decomposition algorithms with small overlap. Iterative methods in numerical linear algebra (Copper Mountain Resort, CO, 1992). SIAM J. Sci. Comput. 15 (1994), no. 3, 604-620.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, Issue.3
, pp. 604-620
-
-
Dryja, M.1
Widlund, O.B.2
-
9
-
-
84990712164
-
Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems
-
Dryja, M.; Widlund, O. B. Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Comm. Pure Appl. Math. 48 (1995), no. 2, 121-155.
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, Issue.2
, pp. 121-155
-
-
Dryja, M.1
Widlund, O.B.2
-
10
-
-
0035073391
-
FETI-DP: A dual-primal unified FETI method. I. A faster alternative to the two-level FETI method
-
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 (2001), no. 7, 1523-1544.
-
(2001)
Internat. J. Numer. Methods Engrg.
, vol.50
, Issue.7
, pp. 1523-1544
-
-
Farhat, C.1
Lesoinne, M.2
LeTallec, P.3
Pierson, K.4
Rixen, D.5
-
11
-
-
0034368964
-
A scalable dual-primal domain decomposition method. Preconditioning techniques for large sparse matrix problems in industrial applications (Minneapolis, MN, 1999)
-
Farhat, C.; Lesoinne, M.; Pierson, K. A scalable dual-primal domain decomposition method. Preconditioning techniques for large sparse matrix problems in industrial applications (Minneapolis, MN, 1999). Numer. Linear Algebra Appl. 7 (2000), no. 7-8, 687-714.
-
(2000)
Numer. Linear Algebra Appl.
, vol.7
, Issue.7-8
, pp. 687-714
-
-
Farhat, C.1
Lesoinne, M.2
Pierson, K.3
-
12
-
-
0042424804
-
The mosaic of high performance domain decomposition methods for structural mechanics: Formulation, interrelation and numerical efficiency of primal and dual methods
-
Fragakis, Y.; Papadrakakis, M. The mosaic of high performance domain decomposition methods for structural mechanics: formulation, interrelation and numerical efficiency of primal and dual methods. Comput. Methods Appl. Mech. Engrg. 192 (2003), no. 35-36, 3799-3830.
-
(2003)
Comput. Methods Appl. Mech. Engrg.
, vol.192
, Issue.35-36
, pp. 3799-3830
-
-
Fragakis, Y.1
Papadrakakis, M.2
-
13
-
-
0003798972
-
-
Technical report, University of Minnesota, Department of Computer Science and Engineering
-
Karypis, G.; Schloegel, K.; Kumar, V. ParMetis - Parallel Graph Partitioning and Sparse Matrix Ordering, Version 3.1. Technical report, University of Minnesota, Department of Computer Science and Engineering, 2003.
-
(2003)
ParMetis - Parallel Graph Partitioning and Sparse Matrix Ordering, Version 3.1
-
-
Karypis, G.1
Schloegel, K.2
Kumar, V.3
-
15
-
-
84880364626
-
Inexact FETI-DP methods
-
Technical Report TR-SM-E-609, Department of Mathematics, University of Duisburg-Essen, Germany, to appear
-
Klawonn, A.; Rheinbach, O. Inexact FETI-DP methods. Technical Report TR-SM-E-609, Department of Mathematics, University of Duisburg-Essen, Germany, 2006. Inter. J. Numer. Methods Engrg., to appear.
-
(2006)
Inter. J. Numer. Methods Engrg.
-
-
Klawonn, A.1
Rheinbach, O.2
-
16
-
-
34648822564
-
A parallel implementation of dual-primal FETI methods for three dimensional linear elasticity using a transformation of basis
-
Technical Report TR-SM-E-601, Department of Mathematics, University of Duisburg-Essen, Germany, to appear
-
Klawonn, A.; Rheinbach, O. A parallel implementation of dual-primal FETI methods for three dimensional linear elasticity using a transformation of basis. Technical Report TR-SM-E-601, Department of Mathematics, University of Duisburg-Essen, Germany, 2006. SIAMJ. Sci. Comput., to appear.
-
(2006)
SIAMJ. Sci. Comput.
-
-
Klawonn, A.1
Rheinbach, O.2
-
17
-
-
33749362785
-
Robust FETI-DP methods for heterogeneous three dimensional linear elasticity problems
-
Technical Report TR-SM-E-607, Department of Mathematics, University of Duisburg-Essen, Germany, to appear
-
Klawonn, A.; Rheinbach, O. Robust FETI-DP methods for heterogeneous three dimensional linear elasticity problems. Technical Report TR-SM-E-607, Department of Mathematics, University of Duisburg-Essen, Germany, 2006. Comput. Methods Appl. Mech. Engrg., to appear.
-
(2006)
Comput. Methods Appl. Mech. Engrg.
-
-
Klawonn, A.1
Rheinbach, O.2
-
18
-
-
33751110027
-
Some computational results for dual-primal FETI methods for three dimensional elliptic problems
-
Proceedings of the 15th International Conference on Domain Decomposition Methods, Berlin, July 17-25. Lecture Notes in Computational Science and Engineering, 40. Springer, Heidelberg
-
Klawonn, A.; Rheinbach, O.; Widlund, O. B. Some computational results for dual-primal FETI methods for three dimensional elliptic problems. Domain decomposition methods in science and engineering, 361-368. Proceedings of the 15th International Conference on Domain Decomposition Methods, Berlin, July 17-25, 2003. Lecture Notes in Computational Science and Engineering, 40. Springer, Heidelberg, 2005.
-
(2003)
Domain Decomposition Methods in Science and Engineering
, pp. 361-368
-
-
Klawonn, A.1
Rheinbach, O.2
Widlund, O.B.3
-
19
-
-
37849025952
-
Dual-primal iterative substructuring for almost incompressible elasticity
-
Proceedings of the 16th International Conference on Domain Decomposition Methods, New York, January 12-15. Lecture Notes in Computational Science and Engineering. Springer, Heidelberg, to appear
-
Klawonn, A.; Rheinbach, O.; Wohlmuth, B. Dual-primal iterative substructuring for almost incompressible elasticity. Domain decomposition methods in science and engineering. Proceedings of the 16th International Conference on Domain Decomposition Methods, New York, January 12-15, 2005. Lecture Notes in Computational Science and Engineering. Springer, Heidelberg, to appear.
-
(2005)
Domain Decomposition Methods in Science and Engineering
-
-
Klawonn, A.1
Rheinbach, O.2
Wohlmuth, B.3
-
20
-
-
33749349363
-
Dual and dual-primal FETI methods for elliptic problems with discontinuous coefficients in three dimensions
-
Proceedings of the 12th International Conference on Domain Decomposition Methods, Chiba, Japan, October 25-29. ddm.org, Chiba, Japan
-
Klawonn, A.; Widlund, O. B. Dual and dual-primal FETI methods for elliptic problems with discontinuous coefficients in three dimensions. Domain decomposition methods in sciences and engineering, 28-40. Proceedings of the 12th International Conference on Domain Decomposition Methods, Chiba, Japan, October 25-29, 1999. ddm.org, Chiba, Japan, 2001. Available at: http://www.ddm.org/DD12.
-
(1999)
Domain Decomposition Methods in Sciences and Engineering
, pp. 28-40
-
-
Klawonn, A.1
Widlund, O.B.2
-
21
-
-
0035526706
-
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
-
Klawonn, A.; Widlund, O. B. FETI and Neumann-Neumann iterative substructuring methods: connections and new results. Comm. Pure Appl. Math. 54 (2001), no. 1, 57-90.
-
(2001)
Comm. Pure Appl. Math.
, vol.54
, Issue.1
, pp. 57-90
-
-
Klawonn, A.1
Widlund, O.B.2
-
22
-
-
20044366501
-
-
Technical Report 2004-855, Courant Institute of Mathematical Sciences, New York University, New York
-
Klawonn, A.; Widlund, O. B. Dual-primal FETI methods for linear elasticity. Technical Report 2004-855, Courant Institute of Mathematical Sciences, New York University, New York, 2004.
-
(2004)
Dual-primal FETI Methods for Linear Elasticity
-
-
Klawonn, A.1
Widlund, O.B.2
-
23
-
-
84880356928
-
Selecting constraints in Dual-primal FETI methods for elasticity in three dimensions
-
Proceedings of the 15th International Conference on Domain Decomposition Methods, Berlin, July 21-25. Lecture Notes in Computational Science and Engineering, 40. Springer, Heidelberg
-
Klawonn, A.; Widlund, O. B. Selecting constraints in Dual-primal FETI methods for elasticity in three dimensions. Domain decomposition methods in science and engineering, 67-81. Proceedings of the 15th International Conference on Domain Decomposition Methods, Berlin, July 21-25, 2003. Lecture Notes in Computational Science and Engineering, 40. Springer, Heidelberg, 2005.
-
(2003)
Domain Decomposition Methods in Science and Engineering
, pp. 67-81
-
-
Klawonn, A.1
Widlund, O.B.2
-
24
-
-
0036556595
-
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients
-
Klawonn, A.; Widlund, O. B.; Dryja, M. Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. SIAM J. Numer. Anal. 40 (2002), 159-179.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 159-179
-
-
Klawonn, A.1
Widlund, O.B.2
Dryja, M.3
-
25
-
-
33645467802
-
Dual-primal FETI methods with face constraints
-
Lecture Notes in Computational Science and Engineering, 23. Springer, Berlin
-
Klawonn, A.; Widlund, O. B.; Dryja, M. Dual-primal FETI methods with face constraints. Recent developments in domain decomposition methods (Zurich, 2001), 27-40. Lecture Notes in Computational Science and Engineering, 23. Springer, Berlin, 2002.
-
(2002)
Recent Developments in Domain Decomposition Methods (Zurich, 2001)
, pp. 27-40
-
-
Klawonn, A.1
Widlund, O.B.2
Dryja, M.3
-
26
-
-
33749365774
-
-
Private communication
-
Lesoinne, M. Private communication.
-
-
-
Lesoinne, M.1
-
27
-
-
37649016059
-
BDDC algorithms for incompressible Stokes equations
-
to appear
-
Li, J.; Widlund, O. B. BDDC algorithms for incompressible Stokes equations. SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal.
-
-
Li, J.1
Widlund, O.B.2
-
28
-
-
33645469409
-
FETI-DP, BDDC, and block Cholesky methods
-
Li, J.; Widlund, O. B. FETI-DP, BDDC, and block Cholesky methods. Internat. J. Numer. Methods Engrg. 66 (2006), no. 2, 250-271.
-
(2006)
Internat. J. Numer. Methods Engrg.
, vol.66
, Issue.2
, pp. 250-271
-
-
Li, J.1
Widlund, O.B.2
-
29
-
-
0242287760
-
Convergence of a balancing domain decomposition by constraints and energy minimization. Dedicated to the 70th birthday of Ivo Marek
-
Mandel, J.; Dohrmann, C. R. Convergence of a balancing domain decomposition by constraints and energy minimization. Dedicated to the 70th birthday of Ivo Marek. Numer. Linear Algebra Appl. 10 (2003), no. 7, 639-659.
-
(2003)
Numer. Linear Algebra Appl.
, vol.10
, Issue.7
, pp. 639-659
-
-
Mandel, J.1
Dohrmann, C.R.2
-
30
-
-
19044366698
-
An algebraic theory for primal and dual substructuring methods by constraints
-
Mandel, J.; Dohrmann, C. R.; Tezaur, R. An algebraic theory for primal and dual substructuring methods by constraints. Appl. Numer. Math. 54 (2005), no. 2, 167-193.
-
(2005)
Appl. Numer. Math.
, vol.54
, Issue.2
, pp. 167-193
-
-
Mandel, J.1
Dohrmann, C.R.2
Tezaur, R.3
-
31
-
-
0035609885
-
On the convergence of a dual-primal substructuring method
-
Mandel, J.; Tezaur, R. On the convergence of a dual-primal substructuring method. Numer. Math. 88 (2001), no. 3, 543-558.
-
(2001)
Numer. Math.
, vol.88
, Issue.3
, pp. 543-558
-
-
Mandel, J.1
Tezaur, R.2
-
33
-
-
0000667107
-
On Korn's second inequality
-
Nitsche, J. A. On Korn's second inequality. RAIRO Anal. Numér. 15 (1981), no. 3, 237-248.
-
(1981)
RAIRO Anal. Numér.
, vol.15
, Issue.3
, pp. 237-248
-
-
Nitsche, J.A.1
-
34
-
-
0033079432
-
A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
-
Rixen, D. J. ; Farhat, C. A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems. Internat. J. Numer. Methods Engrg. 44 (1999), no. 4, 489-516.
-
(1999)
Internat. J. Numer. Methods Engrg.
, vol.44
, Issue.4
, pp. 489-516
-
-
Rixen, D.J.1
Farhat, C.2
-
36
-
-
0000208364
-
An extension theorem for finite element spaces with three applications
-
Proceedings of the Second GAMM-Seminar, Kiel, January. Notes on Numerical Fluid Mechanics, 16. Friedr. Vieweg und Sohn, Braunschweig/Wiesbaden
-
Widlund, O. B. An extension theorem for finite element spaces with three applications. Numerical techniques in continuum mechanics, 110-122. Proceedings of the Second GAMM-Seminar, Kiel, January 1986. Notes on Numerical Fluid Mechanics, 16. Friedr. Vieweg und Sohn, Braunschweig/Wiesbaden, 1987.
-
(1986)
Numerical Techniques in Continuum Mechanics
, pp. 110-122
-
-
Widlund, O.B.1
|