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1
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0028449824
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Implicit parallel processing in structural mechanics
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C. Farhat and F. X. Roux, 'Implicit parallel processing in structural mechanics', Comput. Mech. Adv., 2, 1-124 (1994)
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(1994)
Comput. Mech. Adv.
, vol.2
, pp. 1-124
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Farhat, C.1
Roux, F.X.2
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2
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0001237820
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A Lagrange multiplier based divide and conquer finite element algorithm
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C. Farhat, 'A Lagrange multiplier based divide and conquer finite element algorithm', J. Comput. System Engng., 2, 149-156 (1991).
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(1991)
J. Comput. System Engng.
, vol.2
, pp. 149-156
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Farhat, C.1
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3
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0027003867
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A saddle-point principle domain decomposition method for the solution of solid mechanics problems
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D. E. Keyes, T. F. Chan, G. A. Meurant, J. S. Scroggs and R. G. Voigt, (eds.), SIAM, Pheladelphia, PA
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C. Farhat, 'A saddle-point principle domain decomposition method for the solution of solid mechanics problems', in D. E. Keyes, T. F. Chan, G. A. Meurant, J. S. Scroggs and R. G. Voigt, (eds.), Proc. Fifth SIAM Conf. on Domain Decomposition Methods for Partial Differential Equations, SIAM, Pheladelphia, PA, 1991, pp. 271-292.
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(1991)
Proc. Fifth SIAM Conf. on Domain Decomposition Methods for Partial Differential Equations
, pp. 271-292
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Farhat, C.1
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4
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0026239487
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A method of finite element tearing and interconnecting and its parallel solution algorithm
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C. Farhat and F. X. Roux, 'A method of finite element tearing and interconnecting and its parallel solution algorithm', Int. J. Numer. Meth. Engng., 32, 1205-1227 (1991).
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(1991)
Int. J. Numer. Meth. Engng.
, vol.32
, pp. 1205-1227
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Farhat, C.1
Roux, F.X.2
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5
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0000072213
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An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems
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C. Farhat and F. X. Roux, 'An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems', SIAM J. Sci. Stat. Comput., 13, 379-396 (1992).
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(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 379-396
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Farhat, C.1
Roux, F.X.2
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6
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0028429575
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Optimal convergence properties of the FETI domain decomposition method
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C. Farhat, J. Mandel and F. X. Roux, 'Optimal convergence properties of the FETI domain decomposition method', Comput. Meth. Appl. Mech. Engng., 115, 367-388 (1994).
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(1994)
Comput. Meth. Appl. Mech. Engng.
, vol.115
, pp. 367-388
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Farhat, C.1
Mandel, J.2
Roux, F.X.3
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7
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0030559707
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Convergence of a substructuring method with Lagrange multipliers
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J. Mandel and R. Tezaur, 'Convergence of a substructuring method with Lagrange multipliers', Numerische Mathematik, 73, 473-487 (1996).
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(1996)
Numerische Mathematik
, vol.73
, pp. 473-487
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Mandel, J.1
Tezaur, R.2
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8
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84894209659
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A scalable Lagrange multiplier based domain decomposition method for implicit time-dependent problems
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C. Farhat, P. S. Chen and J. Mandel, 'A scalable Lagrange multiplier based domain decomposition method for implicit time-dependent problems', Int. J. Numer. Meth. Engng., 38, 3831-3854 (1995).
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(1995)
Int. J. Numer. Meth. Engng.
, vol.38
, pp. 3831-3854
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Farhat, C.1
Chen, P.S.2
Mandel, J.3
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9
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0043240354
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An optimal Lagrange multiplier based domain decomposition method for plate bending Problems
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in press
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J. Mandel, R. Tezaur and C. Farhat, 'An optimal Lagrange multiplier based domain decomposition method for plate bending Problems', SIAM J. Sci. Statist. Comput., in press.
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SIAM J. Sci. Statist. Comput.
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Mandel, J.1
Tezaur, R.2
Farhat, C.3
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10
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0038919645
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The two-level FETI method for static and dynamic plate problems - Part I, an optimal iterative solver for biharmonic systems
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C. Farhat and J. Mandel, 'The two-level FETI method for static and dynamic plate problems - Part I, an optimal iterative solver for biharmonic systems', Comput. Meth. Appl. Mech. Engng., 1997.
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(1997)
Comput. Meth. Appl. Mech. Engng.
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Farhat, C.1
Mandel, J.2
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11
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0040697331
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The two-level FETI method for plate problems - Part II, extension to shells, parallel implementation and performance results
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C. Farhat, P. S. Chen, J. Mandel and F. X. Roux, 'The two-level FETI method for plate problems - Part II, extension to shells, parallel implementation and performance results', Comput. Meth. Appl. Mech. Engng., 1997.
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(1997)
Comput. Meth. Appl. Mech. Engng.
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Farhat, C.1
Chen, P.S.2
Mandel, J.3
Roux, F.X.4
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12
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85034302021
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Adaptation of a finite element solver for the analysis of flexible mechanisms to parallel processing systems
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B. H. V. Topping and M. Papadrakakis (eds.), Civil-Comp PRESS
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D. Coulon, M. Géradin and C. Farhat, 'Adaptation of a finite element solver for the analysis of flexible mechanisms to parallel processing systems', in B. H. V. Topping and M. Papadrakakis (eds.), Advances in Parallel and Vector Processing for Structural Mechanics, Civil-Comp PRESS, 1994, pp. 83-92.
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(1994)
Advances in Parallel and Vector Processing for Structural Mechanics
, pp. 83-92
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Coulon, D.1
Géradin, M.2
Farhat, C.3
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13
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0031346869
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Parallelization of the SAMCEF finite element software through domain decomposition and FETI algorithm
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M. Géradin, D. Coulon and J. P. Delsemme, 'Parallelization of the SAMCEF finite element software through domain decomposition and FETI algorithm', Internat. J. Supercomput. Appl. High Perform. Comput., 11, 286-298 (1997).
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(1997)
Internat. J. Supercomput. Appl. High Perform. Comput.
, vol.11
, pp. 286-298
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Géradin, M.1
Coulon, D.2
Delsemme, J.P.3
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14
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0028762823
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On a component mode synthesis method and its application to incompatible substructures
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C. Farhat and M. Géradin, 'On a component mode synthesis method and its application to incompatible substructures', Comput. Struct., 51, 459-473 (1994).
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(1994)
Comput. Struct.
, vol.51
, pp. 459-473
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Farhat, C.1
Géradin, M.2
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15
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0039915488
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A new coarsening operator for the optimal preconditioning of the dual and primal domain decomposition methods: Application to problems with severe coefficient jumps
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Copper Mountain, Colorado, 3-7 April
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C. Farhat and D. Rixen, 'A new coarsening operator for the optimal preconditioning of the dual and primal domain decomposition methods: application to problems with severe coefficient jumps', Proc. Copper Mountain Conf. on Multigrid Methods, Copper Mountain, Colorado, 3-7 April, 1995.
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(1995)
Proc. Copper Mountain Conf. on Multigrid Methods
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Farhat, C.1
Rixen, D.2
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16
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0028465936
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Extending substructure based iterative solvers to multiple load and repeated analyses
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C. Farhat, L. Crivelli and F. X. Roux, 'Extending substructure based iterative solvers to multiple load and repeated analyses', Comput. Meth. Appl. Mech. Engng., 117, 195-209 (1994).
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(1994)
Comput. Meth. Appl. Mech. Engng.
, vol.117
, pp. 195-209
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Farhat, C.1
Crivelli, L.2
Roux, F.X.3
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17
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84966225868
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Preconditioning and two-level multigrid methods of arbitrary degree of approximation
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O. Axelsson and I. Gustafsson, 'Preconditioning and two-level multigrid methods of arbitrary degree of approximation', Math. Comput., 40, 219-242 (1983).
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(1983)
Math. Comput.
, vol.40
, pp. 219-242
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Axelsson, O.1
Gustafsson, I.2
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18
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84966199070
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'The construction of preconditioned for elliptic problems by substructuring', I
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J. H. Bramble, J. E. Pasciak and A. H. Schatz, 'The construction of preconditioned for elliptic problems by substructuring', I, Math. Comput., 47, 103-134 (1986).
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(1986)
Math. Comput.
, vol.47
, pp. 103-134
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Bramble, J.H.1
Pasciak, J.E.2
Schatz, A.H.3
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19
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0041684057
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An algebraically partitioned FETI method for parallel structural analysis: Algorithm description
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Center for Aerospace Structures, University of Colorado at Boulder
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K. C. Park, M. R. Justino and C. A. Felippa, 'An algebraically partitioned FETI method for parallel structural analysis: algorithm description', UCB/CAS Report CU-CAS-95-06, Center for Aerospace Structures, University of Colorado at Boulder, 1995.
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(1995)
UCB/CAS Report CU-CAS-95-06
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Park, K.C.1
Justino, M.R.2
Felippa, C.A.3
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20
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0005499489
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Report 96-1, Institute of Structural Analysis and Seismic Research, NTUA, Athens, Greece
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M. Papadrakakis and Y. Tsompanakis, 'Domain decomposition methods for parallel solution of sensitivity analysis problems', Report 96-1, Institute of Structural Analysis and Seismic Research, NTUA, Athens, Greece, 1996.
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(1996)
Domain Decomposition Methods for Parallel Solution of Sensitivity Analysis Problems
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Papadrakakis, M.1
Tsompanakis, Y.2
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21
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0039323069
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Generalized Krylov correction of the conjugate gradient for large-scale non-linear elasticity problems
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Bergen, Norway, 3-8 June
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C. Rey and F. Lene, 'Generalized Krylov correction of the conjugate gradient for large-scale non-linear elasticity problems', Proc. 9th Int. Conf. on Domain Decomposition Methods, Bergen, Norway, 3-8 June, 1996.
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(1996)
Proc. 9th Int. Conf. on Domain Decomposition Methods
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Rey, C.1
Lene, F.2
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22
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0039915487
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Applications of Dual Schur complement preconditioning to problems in computational fluid dynamics and computational electromagnetics
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Bergen, Norway, 3-8 June
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Q. V. Dinh and T. Fanion, 'Applications of Dual Schur complement preconditioning to problems in computational fluid dynamics and computational electromagnetics', Proc. 9th Int. Conf. on Domain Decomposition Methods, Bergen, Norway, 3-8 June, 1996.
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(1996)
Proc. 9th Int. Conf. on Domain Decomposition Methods
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Dinh, Q.V.1
Fanion, T.2
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23
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0005395650
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Mechanical criteria for the subdomains decomposition: Applications to heterogeneous structures and composite materials
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Bergen, Norway, 3-8 June
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D. Soulat and F. Devries, 'Mechanical criteria for the subdomains decomposition: applications to heterogeneous structures and composite materials', Proc. 9th Int. Conf. on Domain Decomposition Methods, Bergen, Norway, 3-8 June, 1996.
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(1996)
Proc. 9th Int. Conf. on Domain Decomposition Methods
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Soulat, D.1
Devries, F.2
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24
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0001099785
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Domain decomposition and mixed finite element methods for elliptic problems
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R. Glowinski. G. Golub, G. Meurant and J. Périaux (eds.), SIAM, Philadelphia, PA
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R. Glowinski and M. F. Wheeler, 'Domain decomposition and mixed finite element methods for elliptic problems', in R. Glowinski. G. Golub, G. Meurant and J. Périaux (eds.), Proc. 1st SIAM Conf. on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, PA, 1988, pp. 144-172.
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(1988)
Proc. 1st SIAM Conf. on Domain Decomposition Methods for Partial Differential Equations
, pp. 144-172
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Glowinski, R.1
Wheeler, M.F.2
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25
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0022918065
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Iterative methods for solving elliptic problems on regions partitioned into substructures
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P. E. Bjorstad and O. B. Widlund, 'Iterative methods for solving elliptic problems on regions partitioned into substructures', SIAM J. Numer. Anal., 23, 1097-1120 (1986).
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(1986)
SIAM J. Numer. Anal.
, vol.23
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Bjorstad, P.E.1
Widlund, O.B.2
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26
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0026108674
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Domain decomposition methods for large linearly elliptic three dimensional problems
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P. LeTallec, Y. H. De Roeck and M. Vidrascu, 'Domain decomposition methods for large linearly elliptic three dimensional problems', J. Comput. Appl. Math., 34, 93-117 (1991).
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J. Comput. Appl. Math.
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LeTallec, P.1
De Roeck, Y.H.2
Vidrascu, M.3
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27
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0027558407
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Balancing domain decomposition
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J. Mandel, 'Balancing domain decomposition', Comm. Appl. Numer. Meth., 9, 233-241 (1993).
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(1993)
Comm. Appl. Numer. Meth.
, vol.9
, pp. 233-241
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Mandel, J.1
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2042431514
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P. E. Gill and W. Murray (eds.), Academic Press, London
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P. E. Gill and W. Murray, 'Numerical Methods for Constrained Optimization', P. E. Gill and W. Murray (eds.), Academic Press, London, 1974, pp. 132-135.
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(1974)
Numerical Methods for Constrained Optimization
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Gill, P.E.1
Murray, W.2
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29
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85034297034
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Preconditioning the FETI and balancing domain decomposition methods for problems with intra- And inter-subdomain coefficient jumps
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P. Bjorstad, M. Espedal and D. Keyes (eds.), Wiley, New York, in press
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D. Rixen and C. Farhat, 'Preconditioning the FETI and balancing domain decomposition methods for problems with intra- and inter-subdomain coefficient jumps', in P. Bjorstad, M. Espedal and D. Keyes (eds.), Proc. 9th Conf. on Domain Decomposition Methods for Partial Differential Equations, Wiley, New York, in press.
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Proc. 9th Conf. on Domain Decomposition Methods for Partial Differential Equations
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Rixen, D.1
Farhat, C.2
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30
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0001743515
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Conjugate gradient method with preconditioning by projector
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Z. Dostal, 'Conjugate gradient method with preconditioning by projector', Int. J. Comput. Math., 23, 315-323 (1988).
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(1988)
Int. J. Comput. Math.
, vol.23
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Dostal, Z.1
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32
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85034276161
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On the computation of the null space and generalized inverse of a large matrix, and the zero energy modes of a structure
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C. Farhat and M. Géradin, 'On the computation of the null space and generalized inverse of a large matrix, and the zero energy modes of a structure', Int. J. Numer. Meth. Engng., 1997.
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(1997)
Int. J. Numer. Meth. Engng.
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Farhat, C.1
Géradin, M.2
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33
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0026876668
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Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations
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C. Farhat and M. Géradin, 'Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations', Comput. Meth. Appl. Mech. Engng., 97, 333-354 (1992).
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(1992)
Comput. Meth. Appl. Mech. Engng.
, vol.97
, pp. 333-354
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Farhat, C.1
Géradin, M.2
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34
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85034298316
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Domain Decomposition: The mortar element method and a preconditioner for a non-conforming method
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Bergen, Norway, 3-8 June
-
C. Lacour and Y. Maday, 'Domain Decomposition: the mortar element method and a preconditioner for a non-conforming method', 9th Int. Conf. on Domain Decomposition Methods, Bergen, Norway, 3-8 June, 1996.
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(1996)
9th Int. Conf. on Domain Decomposition Methods
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Lacour, C.1
Maday, Y.2
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36
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0028976463
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Mesh partitioning for implicit computations via iterative domain decomposition: Impact and optimization of the subdomain aspect ratio
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C. Farhat, N. Maman and G. Brown, 'Mesh partitioning for implicit computations via iterative domain decomposition: impact and optimization of the subdomain aspect ratio', Int. J. Numer. Meth. Engng., 38, 989-1000 (1995).
-
(1995)
Int. J. Numer. Meth. Engng.
, vol.38
, pp. 989-1000
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Farhat, C.1
Maman, N.2
Brown, G.3
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37
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85034291170
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Lockheed-Martin, private communication
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C. Rankin, Lockheed-Martin, private communication.
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Rankin, C.1
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