-
1
-
-
0036060795
-
A fully asynchronous multi-frontal solver using distributed dynamic scheduling
-
P. R. AMESTOY, I. S. DUFF, J.-Y. L'EXCELLENT, AND J. KOSTER, A fully asynchronous multi-frontal solver using distributed dynamic scheduling, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 15-41.
-
(2001)
SIAM J. Matrix Anal. Appl
, vol.23
, pp. 15-41
-
-
AMESTOY, P.R.1
DUFF, I.S.2
L'EXCELLENT, J.-Y.3
KOSTER, J.4
-
2
-
-
0003660984
-
PETSc Users Manual
-
Technical report ANL-95/11, Revision 2.1.5, Argonne National Laboratory, Argonne, IL
-
S. BALAY, K. BUSCHELMAN, V. EIJKHOUT, W. D. GROPP, D. KAUSHIK, M. G. KNEPLEY, L. CURFMAN MCINNES, B. F. SMITH, AND H. ZHANG, PETSc Users Manual, Technical report ANL-95/11, Revision 2.1.5, Argonne National Laboratory, Argonne, IL, 2004.
-
(2004)
-
-
BALAY, S.1
BUSCHELMAN, K.2
EIJKHOUT, V.3
GROPP, W.D.4
KAUSHIK, D.5
KNEPLEY, M.G.6
CURFMAN MCINNES, L.7
SMITH, B.F.8
ZHANG, H.9
-
3
-
-
33845274917
-
-
S. BALAY, K. BUSCHELMAN, W. D. GROPP, D. KAUSHIK, M. KNEPLEY, L. CURFMAN MCINNES, B. F. SMITH, AND H. ZHANG, PETSc Home Page, http://www.mcs.anl.gov/petsc, 2001.
-
(2001)
PETSc Home Page
-
-
BALAY, S.1
BUSCHELMAN, K.2
GROPP, W.D.3
KAUSHIK, D.4
KNEPLEY, M.5
CURFMAN MCINNES, L.6
SMITH, B.F.7
ZHANG, H.8
-
4
-
-
0002515487
-
Efficient management of parallelism in object oriented numerical software libraries
-
E. Arge, A. M. Bruaset, and H. P. Langtangen, eds, Birkhäuser, Boston
-
S. BALAY, V. EIJKHOUT, W. D. GROPP, L. CURFMAN MCINNES, AND B. F. SMITH, Efficient management of parallelism in object oriented numerical software libraries, in Modern Software Tools in Scientific Computing, E. Arge, A. M. Bruaset, and H. P. Langtangen, eds., Birkhäuser, Boston, 1997, pp. 163-202.
-
(1997)
Modern Software Tools in Scientific Computing
, pp. 163-202
-
-
BALAY, S.1
EIJKHOUT, V.2
GROPP, W.D.3
CURFMAN MCINNES, L.4
SMITH, B.F.5
-
5
-
-
0033895302
-
Application of the FETI method to ASCI problems: Scalability results on one thousand processors and discussion of highly heterogeneous problems
-
M. BHARDWAJ, D. DAY, C. FARHAT, M. LESOINNE, K. PIERSON, AND D. RIXEN, Application of the FETI method to ASCI problems: Scalability results on one thousand processors and discussion of highly heterogeneous problems, Internat. J. Numer. Methods Engrg., 47 (2000), pp. 513-535.
-
(2000)
Internat. J. Numer. Methods Engrg
, vol.47
, pp. 513-535
-
-
BHARDWAJ, M.1
DAY, D.2
FARHAT, C.3
LESOINNE, M.4
PIERSON, K.5
RIXEN, D.6
-
7
-
-
33645471089
-
A preconditioner for the Schur complement domain decomposition method
-
O. Widlund, I. Herrera, D. Keyes and R. Yates, eds, National Autonomous University of Mexico UNAM, Mexico City, Mexico
-
J.-M. CROS, A preconditioner for the Schur complement domain decomposition method, in Domain Decomposition Methods in Science and Engineering, O. Widlund, I. Herrera, D. Keyes and R. Yates, eds., National Autonomous University of Mexico (UNAM), Mexico City, Mexico, 2003, p. 373-380.
-
(2003)
Domain Decomposition Methods in Science and Engineering
, pp. 373-380
-
-
CROS, J.-M.1
-
8
-
-
2942655475
-
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
-
T. A. DAVIS, A column pre-ordering strategy for the unsymmetric-pattern multifrontal method, ACM Trans. Math. Software, 30 (2004), pp. 165-195.
-
(2004)
ACM Trans. Math. Software
, vol.30
, pp. 165-195
-
-
DAVIS, T.A.1
-
9
-
-
34648857630
-
An Approximate BDDC Preconditioner
-
Technical report SAND 2005-5424, Sandia National Laboratories, Albuquerque, NM
-
C. DOHRMANN, An Approximate BDDC Preconditioner, Technical report SAND 2005-5424, Sandia National Laboratories, Albuquerque, NM, 2005.
-
(2005)
-
-
DOHRMANN, C.1
-
10
-
-
1842564155
-
A preconditioner for substructuring based on constrained energy minimization
-
C. R. DOHRMANN, A preconditioner for substructuring based on constrained energy minimization, SIAM J. Sci. Comput., 25 (2003), pp. 246-258.
-
(2003)
SIAM J. Sci. Comput
, vol.25
, pp. 246-258
-
-
DOHRMANN, C.R.1
-
11
-
-
0030556926
-
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
-
M. DRYJA, M. V. SARKIS, AND O. B. WIDLUND, Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions, Numer. Math., 72 (1996), pp. 313-348.
-
(1996)
Numer. Math
, vol.72
, pp. 313-348
-
-
DRYJA, M.1
SARKIS, M.V.2
WIDLUND, O.B.3
-
12
-
-
0028753150
-
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions
-
M. DRYJA, B. F. SMITH, AND O. B. WIDLUND, Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions, SIAM J. Numer. Anal., 31 (1994), pp. 1662-1694.
-
(1994)
SIAM J. Numer. Anal
, vol.31
, pp. 1662-1694
-
-
DRYJA, M.1
SMITH, B.F.2
WIDLUND, O.B.3
-
13
-
-
0032075193
-
A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers
-
C. FARHAT, P.-S. CHEN, F. RISLER, AND F.-X. ROUX, A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers, Internat. J. Numer. Methods Engrg., 42 (1998), pp. 257-288.
-
(1998)
Internat. J. Numer. Methods Engrg
, vol.42
, pp. 257-288
-
-
FARHAT, C.1
CHEN, P.-S.2
RISLER, F.3
ROUX, F.-X.4
-
14
-
-
0035073391
-
FETI-DP: A dual-primal unified FETI method. Part I: A faster alternative to the two-level FETI method
-
C. FARHAT, M. LESOINNE, P. LETALLEC, K. PIERSON, AND D. RIXEN, FETI-DP: A dual-primal unified FETI method. Part I: A faster alternative to the two-level FETI method, Internat. J. Numer. Methods Engrg., 50 (2001), pp. 1523-1544.
-
(2001)
Internat. J. Numer. Methods Engrg
, vol.50
, pp. 1523-1544
-
-
FARHAT, C.1
LESOINNE, M.2
LETALLEC, P.3
PIERSON, K.4
RIXEN, D.5
-
15
-
-
0034368964
-
A scalable dual-primal domain decomposition method
-
C. FARHAT, M. LESOINNE, AND K. PIERSON, A scalable dual-primal domain decomposition method, Numer. Linear Algebra Appl., 7 (2000), pp. 687-714.
-
(2000)
Numer. Linear Algebra Appl
, vol.7
, pp. 687-714
-
-
FARHAT, C.1
LESOINNE, M.2
PIERSON, K.3
-
16
-
-
0028429575
-
Optimal convergence properties of the FETI domain decomposition method
-
C. FARHAT, J. MANDEL, AND F.-X. ROUX, Optimal convergence properties of the FETI domain decomposition method, Comput. Methods Appl. Mech. Engrg., 115 (1994), pp. 367-388.
-
(1994)
Comput. Methods Appl. Mech. Engrg
, vol.115
, pp. 367-388
-
-
FARHAT, C.1
MANDEL, J.2
ROUX, F.-X.3
-
17
-
-
0028449824
-
Implicit parallel processing in structural mechanics
-
C. FARHAT AND F.-X. ROUX, Implicit parallel processing in structural mechanics, Comput. Mech. Adv., 2 (1994), pp. 1-124.
-
(1994)
Comput. Mech. Adv
, vol.2
, pp. 1-124
-
-
FARHAT, C.1
ROUX, F.-X.2
-
18
-
-
0026239487
-
A method of finite element tearing and interconnecting and its parallel solution algorithm
-
C. FARHAT AND F.-X. ROUX, A method of finite element tearing and interconnecting and its parallel solution algorithm, Internat. J. Numer. Methods Engrg., 32 (1991), pp. 1205-1227.
-
(1991)
Internat. J. Numer. Methods Engrg
, vol.32
, pp. 1205-1227
-
-
FARHAT, C.1
ROUX, F.-X.2
-
19
-
-
0042424804
-
The mosaic of high performance domain decomposition methods for structural mechanics: Formulation, interrelation and numerical efficiency of primal and dual methods
-
Y. FRAGAKIS AND M. PAPADRAKAKIS, 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), pp. 3799-3830.
-
(2003)
Comput. Methods Appl. Mech. Engrg
, vol.192
, pp. 3799-3830
-
-
FRAGAKIS, Y.1
PAPADRAKAKIS, M.2
-
20
-
-
85160670005
-
-
G. KARYPIS, K. SCHLOEGEL, AND V. KUMAR, ParMetis-Parallel Graph Partitioning and Sparse Matrix Ordering, Version 3.1, Technical report, Department of Computer Science and Engineering, University of Minnesota, 2003
-
G. KARYPIS, K. SCHLOEGEL, AND V. KUMAR, ParMetis-Parallel Graph Partitioning and Sparse Matrix Ordering, Version 3.1, Technical report, Department of Computer Science and Engineering, University of Minnesota, 2003.
-
-
-
-
21
-
-
33749362785
-
Robust FETI-DP Methods for Heterogeneous Three Dimensional Linear Elasticity Problems
-
to appear
-
A. KLAWONN AND O. RHEINBACH, 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, 2005, revised 2006. Comput. Methods Appl. Mech. Engrg., to appear.
-
Technical report TR-SM-E-607, Department of Mathematics, University of Duisburg-Essen, Germany, 2005, revised 2006. Comput. Methods Appl. Mech. Engrg
-
-
KLAWONN, A.1
RHEINBACH, O.2
-
22
-
-
37849015051
-
Inexact FETI-DP Methods
-
to appear
-
A. KLAWONN AND O. RHEINBACH, Inexact FETI-DP Methods, Technical report TR-SM-E-609, Department of Mathematics, University of Duisburg-Essen, Germany, 2005, revised 2006. Internat. J. Numer. Methods Engrg., to appear.
-
Technical report TR-SM-E-609, Department of Mathematics, University of Duisburg-Essen, Germany, 2005, revised 2006. Internat. J. Numer. Methods Engrg
-
-
KLAWONN, A.1
RHEINBACH, O.2
-
23
-
-
34648847396
-
Dual and dual-primal FETI methods for elliptic problems with discontinuous coefficients in three dimensions
-
Augsburg
-
A. KLAWONN AND O. B. WIDLUND, Dual and dual-primal FETI methods for elliptic problems with discontinuous coefficients in three dimensions, in Domain Decomposition Methods, Proceedings of the 12th International Conference on Domain Decomposition Methods, Chiba, Japan, 1999, DDM.org, Augsburg, 2001, pp. 29-39.
-
(2001)
Domain Decomposition Methods, Proceedings of the 12th International Conference on Domain Decomposition Methods, Chiba, Japan, 1999, DDM.org
, pp. 29-39
-
-
KLAWONN, A.1
WIDLUND, O.B.2
-
24
-
-
0035526706
-
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
-
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.
-
(2001)
Comm. Pure Appl. Math
, vol.54
, pp. 57-90
-
-
KLAWONN, A.1
WIDLUND, O.B.2
-
25
-
-
33749368945
-
Dual-primal FETI methods for linear elasticity
-
A. KLAWONN AND O. B. WIDLUND, Dual-primal FETI methods for linear elasticity, Comm. Pure Appl. Math., 59 (2006), pp. 1523-1572.
-
(2006)
Comm. Pure Appl. Math
, vol.59
, pp. 1523-1572
-
-
KLAWONN, A.1
WIDLUND, O.B.2
-
26
-
-
85160604830
-
-
A. KLAWONN AND O. B. WIDLUND, Selecting constraints in Dual-Primal FETI methods for elasticity in three dimensions, in Domain Decomposition Methods in Science and Engineering, R. Kornhuber, R. H. W. Hoppe, D. E. Keyes, J. Périaux, O. Pironneau, and J. Xu, eds., Lecture Notes in Comput. Sci. Engrg., Springer-Verlag, Berlin, 2005, pp. 67-81.
-
A. KLAWONN AND O. B. WIDLUND, Selecting constraints in Dual-Primal FETI methods for elasticity in three dimensions, in Domain Decomposition Methods in Science and Engineering, R. Kornhuber, R. H. W. Hoppe, D. E. Keyes, J. Périaux, O. Pironneau, and J. Xu, eds., Lecture Notes in Comput. Sci. Engrg., Springer-Verlag, Berlin, 2005, pp. 67-81.
-
-
-
-
27
-
-
0036556595
-
Dual-Primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients
-
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 (2002), pp. 159-179.
-
(2002)
SIAM J. Numer. Anal
, vol.40
, pp. 159-179
-
-
KLAWONN, A.1
WIDLUND, O.B.2
DRYJA, M.3
-
28
-
-
33645467802
-
Dual-Primal FETI methods with face constraints
-
Recent Developments in Domain Decomposition Methods, L. F. Pavarino and A. Toselli, eds, Springer-Verlag, Berlin
-
A. KLAWONN. O. B. WIDLUND, AND M. DRYJA, Dual-Primal FETI methods with face constraints, in Recent Developments in Domain Decomposition Methods, L. F. Pavarino and A. Toselli, eds., Lecture Notes in Comput. Sci. Engrg. 23, Springer-Verlag, Berlin, 2002, pp. 27-40.
-
(2002)
Lecture Notes in Comput. Sci. Engrg
, vol.23
, pp. 27-40
-
-
KLAWONN, A.1
WIDLUND, O.B.2
DRYJA, M.3
-
29
-
-
85160660325
-
-
M. LESOINNE, A FETI-DP comer selection algorithm for three-dimensional problems, in Domain Decomposition Methods in Science and Engineering, I. Herrera, D. E. Keyes, O. B. Widlund, and R. Yates, eds., Proceedings of the 14th International Conference on Domain Decomposition Methods, Cocoyoc in Morolos, Mexico, 2003, pp. 217-223.
-
M. LESOINNE, A FETI-DP comer selection algorithm for three-dimensional problems, in Domain Decomposition Methods in Science and Engineering, I. Herrera, D. E. Keyes, O. B. Widlund, and R. Yates, eds., Proceedings of the 14th International Conference on Domain Decomposition Methods, Cocoyoc in Morolos, Mexico, 2003, pp. 217-223.
-
-
-
-
30
-
-
85160617446
-
On the use of inexact subdomain solvers for BDDC algorithms
-
to appear
-
J. LI AND O. B. WIDLUND, On the use of inexact subdomain solvers for BDDC algorithms, Technical report TR2005-871, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University, New York, 2005. Comput. Methods Appl. Mech. Engrg., to appear.
-
Technical report TR2005-871, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University, New York, 2005. Comput. Methods Appl. Mech. Engrg
-
-
LI, J.1
WIDLUND, O.B.2
-
31
-
-
33645469409
-
FETI-DP, BDDC, and block Cholesky methods
-
J. LI AND O. B. WIDLUND, FETI-DP, BDDC, and block Cholesky methods, Internat. J. Numer. Methods Engrg., 66 (2006), pp. 250-271.
-
(2006)
Internat. J. Numer. Methods Engrg
, vol.66
, pp. 250-271
-
-
LI, J.1
WIDLUND, O.B.2
-
32
-
-
0242287760
-
Convergence of a balancing domain decomposition by constraints and energy minimization
-
J. MANDEL AND C. R. DOHRMANN, Convergence of a balancing domain decomposition by constraints and energy minimization, Numer. Linear Algebra Appl., 10 (2003), pp. 639-659.
-
(2003)
Numer. Linear Algebra Appl
, vol.10
, pp. 639-659
-
-
MANDEL, J.1
DOHRMANN, C.R.2
-
33
-
-
19044366698
-
An algebraic theory for primal and dual substructuring methods by constraints
-
J. MANDEL, C. R. DOHRMANN, AND R. TEZAUR, An algebraic theory for primal and dual substructuring methods by constraints, Appl. Numer. Math., 54 (2005), pp. 167-193.
-
(2005)
Appl. Numer. Math
, vol.54
, pp. 167-193
-
-
MANDEL, J.1
DOHRMANN, C.R.2
TEZAUR, R.3
-
34
-
-
0030559707
-
Convergence of a substructuring method with Lagrange multipliers
-
J. MANDEL AND R. TEZAUR, Convergence of a substructuring method with Lagrange multipliers, Numer. Math., 73 (1996), pp. 473-487.
-
(1996)
Numer. Math
, vol.73
, pp. 473-487
-
-
MANDEL, J.1
TEZAUR, R.2
-
35
-
-
0035609885
-
On the convergence of a dual-primal substructuring method
-
J. MANDEL AND R. TEZAUR, On the convergence of a dual-primal substructuring method, Numer. Math., 88 (2001), pp. 543-558.
-
(2001)
Numer. Math
, vol.88
, pp. 543-558
-
-
MANDEL, J.1
TEZAUR, R.2
-
36
-
-
85160678361
-
-
Private communication
-
K. H. PIERSON, Private communication, 2005.
-
(2005)
-
-
PIERSON, K.H.1
-
38
-
-
0033079432
-
A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
-
D. RIXEN AND C. FARHAT, A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems, Internat, J. Numer. Methods Engrg., 44 (1999), pp. 489-516.
-
(1999)
Internat, J. Numer. Methods Engrg
, vol.44
, pp. 489-516
-
-
RIXEN, D.1
FARHAT, C.2
-
39
-
-
0033079432
-
A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
-
D. RIXEN AND C. FARHAT, A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems, Internat. J. Numer. Methods Engrg., 44 (1999), pp. 489-516.
-
(1999)
Internat. J. Numer. Methods Engrg
, vol.44
, pp. 489-516
-
-
RIXEN, D.1
FARHAT, C.2
-
40
-
-
84880765336
-
Netgen: An advancing front 2d/3d-mesh generator based on abstract rules
-
J. SCHÖBERL, Netgen: An advancing front 2d/3d-mesh generator based on abstract rules, Comput. Visual. Sci., 1 (1997), pp. 41-52.
-
(1997)
Comput. Visual. Sci
, vol.1
, pp. 41-52
-
-
SCHÖBERL, J.1
-
41
-
-
14044267617
-
Domain Decomposition Methods: Algorithms and Theory
-
Springer-Verlag, Berlin, Heidelberg, New York
-
A. TOSELLI AND O. B. WIDLUND, Domain Decomposition Methods: Algorithms and Theory, Springer Ser. Comput. Math. 34, Springer-Verlag, Berlin, Heidelberg, New York, 2005.
-
(2005)
Springer Ser. Comput. Math
, vol.34
-
-
TOSELLI, A.1
WIDLUND, O.B.2
-
42
-
-
33645466916
-
Three-Level BDDC in Two Dimensions
-
Technical report TR2004-856, Department of Computer Science, Courant Institute, New York University, New York
-
X. TU, Three-Level BDDC in Two Dimensions, Technical report TR2004-856, Department of Computer Science, Courant Institute, New York University, New York, 2004.
-
(2004)
-
-
TU, X.1
-
43
-
-
33645471014
-
Three-Level BDDC in Three Dimensions
-
Technical report TR2005-862, Department of Computer Science, Courant Institute, New York University, New York
-
X. TU, Three-Level BDDC in Three Dimensions, Technical report TR2005-862, Department of Computer Science, Courant Institute, New York University, New York, 2005.
-
(2005)
-
-
TU, X.1
|