-
1
-
-
0001146007
-
A Preconditioner Based on Domain Decomposition for h-p Finite Element Approximation on Quasi-Uniform Meshes
-
M. Ainsworth, "A Preconditioner Based on Domain Decomposition for h-p Finite Element Approximation on Quasi-Uniform Meshes", SIAM J. on Numerical Analysis, 33, 1358-1376, 1996.
-
(1996)
SIAM J. on Numerical Analysis
, vol.33
, pp. 1358-1376
-
-
Ainsworth, M.1
-
2
-
-
0001496839
-
A Hierarchical Domain Decomposition Preconditioner for h-p Finite Element Approximation on Locally Refined Meshes
-
M. Ainsworth, "A Hierarchical Domain Decomposition Preconditioner for h-p Finite Element Approximation on Locally Refined Meshes", SIAM J. on Scientific Computing, 17, 1395-1413, 1996.
-
(1996)
SIAM J. on Scientific Computing
, vol.17
, pp. 1395-1413
-
-
Ainsworth, M.1
-
3
-
-
0001221932
-
A Taxonomy for Conjugate Gradient Methods
-
S.F. Ashby, T.A. Manteuffel and P.E. Taylor, "A Taxonomy for Conjugate Gradient Methods", SIAM J. on Numerical Analysis, 27, 1542-1568, 1990.
-
(1990)
SIAM J. on Numerical Analysis
, vol.27
, pp. 1542-1568
-
-
Ashby, S.F.1
Manteuffel, T.A.2
Taylor, P.E.3
-
4
-
-
0035036972
-
A New Parallel Domain Decomposition Method for the Adaptive Finite Element Solution of Elliptic Partial Differential Equations
-
R.E. Bank and P.K. Jimack, "A New Parallel Domain Decomposition Method for the Adaptive Finite Element Solution of Elliptic Partial Differential Equations", Concurrency and Computation: Practice and Experience, 13, 327-350, 2001.
-
(2001)
Concurrency and Computation: Practice and Experience
, vol.13
, pp. 327-350
-
-
Bank, R.E.1
Jimack, P.K.2
-
5
-
-
0036447625
-
A Weakly Overlapping Domain Decomposition Preconditioner for the Finite Element Solution of Elliptic Partial Differential Equations
-
R.E. Bank, P.K. Jimack, S.A. Nadeem and S.V. Nepomnyaschikh, "A Weakly Overlapping Domain Decomposition Preconditioner for the Finite Element Solution of Elliptic Partial Differential Equations", SIAM J. on Scientific Computing, 23, 1818-1842, 2002.
-
(2002)
SIAM J. on Scientific Computing
, vol.23
, pp. 1818-1842
-
-
Bank, R.E.1
Jimack, P.K.2
Nadeem, S.A.3
Nepomnyaschikh, S.V.4
-
6
-
-
0033279293
-
An Incomplete Factorization Multigraph Algorithm
-
R.E. Bank and R.K. Smith, "An Incomplete Factorization Multigraph Algorithm", SIAM J. on Scientific Computing, 20, 1349-1364, 1999.
-
(1999)
SIAM J. on Scientific Computing
, vol.20
, pp. 1349-1364
-
-
Bank, R.E.1
Smith, R.K.2
-
7
-
-
85140869148
-
Parallel Implementation and Practical use of Sparse Approximate Inverse Preconditioners with A Priori Sparsity Patterns
-
M. Benzi, J.K. Cullum and M. Tuma, "Parallel Implementation and Practical use of Sparse Approximate Inverse Preconditioners with A Priori Sparsity Patterns", SIAM J. on Scientific Computing, 22, 1318-1332, 2000.
-
(2000)
SIAM J. on Scientific Computing
, vol.22
, pp. 1318-1332
-
-
Benzi, M.1
Cullum, J.K.2
Tuma, M.3
-
8
-
-
21144473187
-
A Basic Norm Equivalence for the Theory of Multilevel Methods
-
V. Bornemann and H. Yserentant, "A Basic Norm Equivalence for the Theory of Multilevel Methods, Numerische Mathematik, 64, 455-476, 1993.
-
(1993)
Numerische Mathematik
, vol.64
, pp. 455-476
-
-
Bornemann, V.1
Yserentant, H.2
-
9
-
-
84966199070
-
The Construction of Preconditioners for Elliptic Problems by Substructuring, I
-
J. Bramble, J. Pasciak and A.H. Schatz, "The Construction of Preconditioners for Elliptic Problems by Substructuring, I", Mathematics of Computation, 47, 103-134, 1986.
-
(1986)
Mathematics of Computation
, vol.47
, pp. 103-134
-
-
Bramble, J.1
Pasciak, J.2
Schatz, A.H.3
-
10
-
-
84966251372
-
The Construction of Preconditioners for Elliptic Problems by Substructuring, II
-
J. Bramble, J. Pasciak and A.H. Schatz, "The Construction of Preconditioners for Elliptic Problems by Substructuring, II", Mathematics of Computation, 49, 1-16, 1987.
-
(1987)
Mathematics of Computation
, vol.49
, pp. 1-16
-
-
Bramble, J.1
Pasciak, J.2
Schatz, A.H.3
-
11
-
-
84966211313
-
The Construction of Preconditioners for Elliptic Problems by Substructuring, III
-
J. Bramble, J. Pasciak and A.H. Schatz, "The Construction of Preconditioners for Elliptic Problems by Substructuring, III", Mathematics of Computation, 51, 415-430, 1988.
-
(1988)
Mathematics of Computation
, vol.51
, pp. 415-430
-
-
Bramble, J.1
Pasciak, J.2
Schatz, A.H.3
-
12
-
-
84968495074
-
The Construction of Preconditioners for Elliptic Problems by Substructuring, IV
-
J. Bramble, J. Pasciak and A.H. Schatz, "The Construction of Preconditioners for Elliptic Problems by Substructuring, IV", Mathematics of Computation, 53, 1-24, 1989.
-
(1989)
Mathematics of Computation
, vol.53
, pp. 1-24
-
-
Bramble, J.1
Pasciak, J.2
Schatz, A.H.3
-
13
-
-
0033295858
-
An Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
-
X.-C. Cai and M. Sarkis, "An Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems", SIAM J. on Scientific Computing, 21, 792-797, 1999.
-
(1999)
SIAM J. on Scientific Computing
, vol.21
, pp. 792-797
-
-
Cai, X.-C.1
Sarkis, M.2
-
14
-
-
0029341393
-
Parallel Complexity of Domain Decomposition Methods and Optimal Coarse Grid Size
-
T.F. Chan and J.P. Shao, "Parallel Complexity of Domain Decomposition Methods and Optimal Coarse Grid Size", Parallel Computing, 21, 1033-1049, 1995.
-
(1995)
Parallel Computing
, vol.21
, pp. 1033-1049
-
-
Chan, T.F.1
Shao, J.P.2
-
15
-
-
0033678265
-
A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
-
E. Chow, "A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners", SIAM J. on Scientific Computing, 21, 1804-1822, 2000.
-
(2000)
SIAM J. on Scientific Computing
, vol.21
, pp. 1804-1822
-
-
Chow, E.1
-
16
-
-
0024748907
-
Dynamic Load Balancing for Distributed Memory Multiprocessors
-
G. Cybenko, "Dynamic Load Balancing for Distributed Memory Multiprocessors", J. of Parallel and Distributed Computing, 7, 279-301, 1989.
-
(1989)
J. of Parallel and Distributed Computing
, vol.7
, pp. 279-301
-
-
Cybenko, G.1
-
17
-
-
0002059273
-
Towards a Unified Theory of Domain Decomposition Algorithms for Elliptic Problems
-
T.F. Chan et al, eds., SIAM publications, Philadelphia
-
M. Dryja and O.B. Widlund, "Towards a Unified Theory of Domain Decomposition Algorithms for Elliptic Problems", in Third International Symposium on Domain Decomposition Methods (T.F. Chan et al, eds.), SIAM publications, Philadelphia, 1990.
-
(1990)
Third International Symposium on Domain Decomposition Methods
-
-
Dryja, M.1
Widlund, O.B.2
-
19
-
-
0023849939
-
A Simple and Efficient Automatic FEM Domain Decomposer
-
C. Farhat, "A Simple and Efficient Automatic FEM Domain Decomposer"', Computers and Structures, 28, 579-602, 1988.
-
(1988)
Computers and Structures
, vol.28
, pp. 579-602
-
-
Farhat, C.1
-
20
-
-
0028493587
-
Towards the Ultimate Iterative Substructuring Method: Combined Numerical and Parallel Scalability, and Multiple Load Cases
-
C. Farhat, P.-S. Chen and P. Stern, "Towards the Ultimate Iterative Substructuring Method: Combined Numerical and Parallel Scalability, and Multiple Load Cases", Computing Systems in Engineering, 5, 337-350, 1994.
-
(1994)
Computing Systems in Engineering
, vol.5
, pp. 337-350
-
-
Farhat, C.1
Chen, P.-S.2
Stern, P.3
-
21
-
-
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", Computer Methods for Applied Mechanics and Engineering, 115, 365-385, 1994.
-
(1994)
Computer Methods for Applied Mechanics and Engineering
, vol.115
, pp. 365-385
-
-
Farhat, C.1
Mandel, J.2
Roux, F.X.3
-
22
-
-
0029267730
-
PARMESH: A Parallel Mesh Generator
-
G. Globisch, "PARMESH: A Parallel Mesh Generator", Parallel Computing, 21, 509-524, 1995.
-
(1995)
Parallel Computing
, vol.21
, pp. 509-524
-
-
Globisch, G.1
-
24
-
-
0000063845
-
An Improved Spectral Graph Partitioning Algorithm for Mapping Parallel Computations
-
B. Hendrickson and R. Leland, "An Improved Spectral Graph Partitioning Algorithm for Mapping Parallel Computations", SIAM J. on Scientific Computing, 16, 452-469, 1995.
-
(1995)
SIAM J. on Scientific Computing
, vol.16
, pp. 452-469
-
-
Hendrickson, B.1
Leland, R.2
-
25
-
-
0029255882
-
Efficient Mesh Partitioning for Parallel Elliptic Differential Equation Solvers
-
D.C. Hodgson and P.K. Jimack, "Efficient Mesh Partitioning for Parallel Elliptic Differential Equation Solvers", Computing Systems in Engineering, 6, 1-12, 1995.
-
(1995)
Computing Systems in Engineering
, vol.6
, pp. 1-12
-
-
Hodgson, D.C.1
Jimack, P.K.2
-
26
-
-
0027809675
-
Parallel Efficiency of Domain Decomposition Methods
-
K.H. Huffman and J. Zou, "Parallel Efficiency of Domain Decomposition Methods", Parallel Computing, 19, 1375-1391, 1993.
-
(1993)
Parallel Computing
, vol.19
, pp. 1375-1391
-
-
Huffman, K.H.1
Zou, J.2
-
27
-
-
0020704341
-
An Element-by-Element Solution Algorithm for Problems of Structural and Solid Mechanics
-
T.J.R. Hughes, I. Levit and J. Winget, "An Element-by-Element Solution Algorithm for Problems of Structural and Solid Mechanics", Computer Methods for Applied Mechanics and Engineering, 36, 241-254, 1983.
-
(1983)
Computer Methods for Applied Mechanics and Engineering
, vol.36
, pp. 241-254
-
-
Hughes, T.J.R.1
Levit, I.2
Winget, J.3
-
28
-
-
0031207485
-
A Domain Decomposition Preconditioner for a Parallel Finite Element Solver on Distributed Unstructured Grids
-
D.C. Hodgson and P.K. Jimack, "A Domain Decomposition Preconditioner for a Parallel Finite Element Solver on Distributed Unstructured Grids", Parallel Computing, 23, 1157-1181, 1997.
-
(1997)
Parallel Computing
, vol.23
, pp. 1157-1181
-
-
Hodgson, D.C.1
Jimack, P.K.2
-
30
-
-
23044530123
-
Parallel Application of a Novel Domain Decomposition Preconditioner for the Stable Finite Element Solution of Three-Dimensional Convection-Dominated PDEs
-
Euro-Par 2001 Parallel Processing: 7th International Euro-Par Conference Manchester, UK, August 2001 Proceedings, ed. R. Sakellariou et al., Springer
-
P.K. Jimack and S.A. Nadeem, "Parallel Application of a Novel Domain Decomposition Preconditioner for the Stable Finite Element Solution of Three-Dimensional Convection-Dominated PDEs", in Euro-Par 2001 Parallel Processing: 7th International Euro-Par Conference Manchester, UK, August 2001 Proceedings, ed. R. Sakellariou et al. (Lecture Notes in Computer Science 2150, Springer), 592-601, 2001.
-
(2001)
Lecture Notes in Computer Science
, vol.2150
, pp. 592-601
-
-
Jimack, P.K.1
Nadeem, S.A.2
-
31
-
-
84886865793
-
A Parallel Domain Decomposition Algorithm for the Adaptive Finite Element Solution of 3-D Convection-Diffusion Problems
-
Computational Science - ICCS 2002: International Conference Amsterdam, The Netherlands, April 2002 Proceedings Part II, ed. P.M.A. Sloot et al., Springer
-
P.K. Jimack and S.A. Nadeem, "A Parallel Domain Decomposition Algorithm for the Adaptive Finite Element Solution of 3-D Convection-Diffusion Problems", in Computational Science - ICCS 2002: International Conference Amsterdam, The Netherlands, April 2002 Proceedings Part II, ed. P.M.A. Sloot et al. (Lecture Notes in Computer Science 2330, Springer), 797-805, 2002.
-
(2002)
Lecture Notes in Computer Science
, vol.2330
, pp. 797-805
-
-
Jimack, P.K.1
Nadeem, S.A.2
-
32
-
-
0141959609
-
Developing Parallel Finite Element Software Using MPI
-
ed. B.H.V. Topping and L. Lammer (Saxe-Coburg Publications)
-
P.K. Jimack and N. Touheed, "Developing Parallel Finite Element Software Using MPI", in High Performance Computing for Computational Mechanics, ed. B.H.V. Topping and L. Lammer (Saxe-Coburg Publications), 15-38, 2000.
-
(2000)
High Performance Computing for Computational Mechanics
, pp. 15-38
-
-
Jimack, P.K.1
Touheed, N.2
-
34
-
-
0032650115
-
Parallel Multilevel k-way Partition Scheme for Irregular Graphs
-
G. Karypis and V. Kumar, "Parallel Multilevel k-way Partition Scheme for Irregular Graphs", SIAM Review, 41, 278-300, 1999.
-
(1999)
SIAM Review
, vol.41
, pp. 278-300
-
-
Karypis, G.1
Kumar, V.2
-
35
-
-
0001253456
-
A Comparison of Domain Decomposition Techniques for Elliptic PDEs and their Parallel Implementation
-
D.E. Keyes and W.D. Gropp, "A Comparison of Domain Decomposition Techniques for Elliptic PDEs and their Parallel Implementation", SIAM J. on Scientific and Statistical Computing, 8, 166-202, 1987.
-
(1987)
SIAM J. on Scientific and Statistical Computing
, vol.8
, pp. 166-202
-
-
Keyes, D.E.1
Gropp, W.D.2
-
36
-
-
0040395686
-
Interprétation Stochastique de la Méthode Alternée de Schwarz
-
P.L. Lions, "Interprétation Stochastique de la Méthode Alternée de Schwarz", C. R. Acad. Sci. Paris, 268, 325-328, 1978.
-
(1978)
C. R. Acad. Sci. Paris
, vol.268
, pp. 325-328
-
-
Lions, P.L.1
-
37
-
-
0010515320
-
Shifted Incomplete Cholesky Factorization
-
I.S. Duff and G.W. Stewart eds., SIAM Publications, Philadelphia
-
T.A. Mantueffel, "Shifted Incomplete Cholesky Factorization", in Sparse Matrix Proceedings (I.S. Duff and G.W. Stewart eds.), SIAM Publications, Philadelphia, 1978.
-
(1978)
Sparse Matrix Proceedings
-
-
Mantueffel, T.A.1
-
38
-
-
0001439335
-
MPI: A Message-Passing Interface Standard
-
Message Passing Interface Forum, "MPI: A Message-Passing Interface Standard", International Journal of Supercomputer Applications, 8, No. 3/4, 1994.
-
(1994)
International Journal of Supercomputer Applications
, vol.8
, Issue.3-4
-
-
-
39
-
-
84964127276
-
Domain Decomposition Methods for PDEs on Parallel Computers
-
G. Meurant, "Domain Decomposition Methods for PDEs on Parallel Computers", Int. J. Supercomputer Applications, 2, 5-12, 1988.
-
(1988)
Int. J. Supercomputer Applications
, vol.2
, pp. 5-12
-
-
Meurant, G.1
-
41
-
-
0037203229
-
Parallel Implementation of an Optimal Two Level Additive Schwarz Preconditioner for the 3-D Finite Element Solution of Elliptic Partial Differential Equations
-
S.A. Nadeem and P.K. Jimack, "Parallel Implementation of an Optimal Two Level Additive Schwarz Preconditioner for the 3-D Finite Element Solution of Elliptic Partial Differential Equations", to appear in Int. J. Num. Mem. Fluids, 2002.
-
(2002)
Int. J. Num. Mem. Fluids
-
-
Nadeem, S.A.1
Jimack, P.K.2
-
42
-
-
0000048673
-
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
-
Y. Saad and M. Schultz, "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems", SIAM J. on Scientific Computing, 7, 856-869, 1986.
-
(1986)
SIAM J. on Scientific Computing
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.2
-
44
-
-
44949282112
-
Partitioning of Unstructured Problems for Parallel Processing
-
H.D. Simon, "Partitioning of Unstructured Problems for Parallel Processing", Computing Systems in Engineering, 2, 135-148, 1991.
-
(1991)
Computing Systems in Engineering
, vol.2
, pp. 135-148
-
-
Simon, H.D.1
-
45
-
-
0000453571
-
An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems
-
B.F. Smith, "An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems", SIAM J. on Scientific Computing, 13, 364-378, 1992.
-
(1992)
SIAM J. on Scientific Computing
, vol.13
, pp. 364-378
-
-
Smith, B.F.1
-
46
-
-
0003559010
-
A Parallel Implementation of an Iterative Substructuring Algorithm for Problems in Three Dimensions
-
B.F. Smith, "A Parallel Implementation of an Iterative Substructuring Algorithm for Problems in Three Dimensions", SIAM J. on Scientific Computing, 14, 406-423, 1993.
-
(1993)
SIAM J. on Scientific Computing
, vol.14
, pp. 406-423
-
-
Smith, B.F.1
-
48
-
-
0031185471
-
A 3-d Unstructured Mesh Adaptation Algorithm for Time-Dependent Shock Dominated Problems
-
W. Speares and M. Berzins, "A 3-d Unstructured Mesh Adaptation Algorithm for Time-Dependent Shock Dominated Problems", International Journal for Numerical Methods in Fluids, 25, 81-104, 1997.
-
(1997)
International Journal for Numerical Methods in Fluids
, vol.25
, pp. 81-104
-
-
Speares, W.1
Berzins, M.2
-
50
-
-
0001514750
-
Parallel Optimisation Algorithms for Multilevel Mesh Partitioning
-
C. Walshaw and M. Cross, "Parallel Optimisation Algorithms for Multilevel Mesh Partitioning", Parallel Computing, 26, 1635-1660, 2000.
-
(2000)
Parallel Computing
, vol.26
, pp. 1635-1660
-
-
Walshaw, C.1
Cross, M.2
-
52
-
-
84990643496
-
Performance of Dynamic Load Balancing for Unstructured Mesh Calculations
-
R.D. Williams, "Performance of Dynamic Load Balancing for Unstructured Mesh Calculations", Concurrency: Practice and Experience, 3, 457-481, 1991.
-
(1991)
Concurrency: Practice and Experience
, vol.3
, pp. 457-481
-
-
Williams, R.D.1
-
53
-
-
0000570696
-
Iterative Methods by Space Decomposition and Subspace Correction
-
J. Xu, "Iterative Methods by Space Decomposition and Subspace Correction", SIAM Review, 34, 581-613, 1992.
-
(1992)
SIAM Review
, vol.34
, pp. 581-613
-
-
Xu, J.1
|