메뉴 건너뛰기




Volumn 20, Issue 3, 2004, Pages 489-500

Using the parallel algebraic recursive multilevel solver in modern physical applications

Author keywords

Distributed sparse linear systems; Magnetohydrodynamic flows; Nonlinear acoustic field simulation; Parallel algebraic multilevel preconditioning; Tire design

Indexed keywords

ALGEBRA; ALGORITHMS; COMPUTER SIMULATION; DISTRIBUTED COMPUTER SYSTEMS; LINEAR SYSTEMS; REAL TIME SYSTEMS; RECURSIVE FUNCTIONS;

EID: 1642344418     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-739X(03)00189-4     Document Type: Conference Paper
Times cited : (6)

References (32)
  • 3
    • 0142046157 scopus 로고    scopus 로고
    • MRILU: It's the preconditioning that counts
    • Department of Mathematics, University of Groningen, The Netherlands
    • E.F.F. Botta, W. Wubs, MRILU: It's the preconditioning that counts, Technical Report W-9703, Department of Mathematics, University of Groningen, The Netherlands, 1997.
    • (1997) Technical Report , vol.W-9703
    • Botta, E.F.F.1    Wubs, W.2
  • 6
    • 0142014311 scopus 로고    scopus 로고
    • Hypre User's Manual, Version 1.6.0
    • Lawrence Livermore National Laboratory, Livermore, CA
    • E. Chow, A. Cleary, R. Falgout, Hypre User's Manual, Version 1.6.0, Technical Report UCRL-MA-137155, Lawrence Livermore National Laboratory, Livermore, CA, 1998.
    • (1998) Technical Report , vol.UCRL-MA-137155
    • Chow, E.1    Cleary, A.2    Falgout, R.3
  • 7
    • 0031332548 scopus 로고    scopus 로고
    • Experimental study of ILU preconditioners for indefinite matrices
    • Chow E., Saad Y., Experimental study of ILU preconditioners for indefinite matrices. J. Comp. Appl. Math. 87:1997;387-414.
    • (1997) J. Comp. Appl. Math. , vol.87 , pp. 387-414
    • Chow, E.1    Saad, Y.2
  • 8
    • 0001630026 scopus 로고    scopus 로고
    • Approximate inverse preconditioners via sparse-sparse iterations
    • Chow E., Saad Y., Approximate inverse preconditioners via sparse-sparse iterations. SIAM J. Sci. Comp. 19:1998;995-1023.
    • (1998) SIAM J. Sci. Comp. , vol.19 , pp. 995-1023
    • Chow, E.1    Saad, Y.2
  • 12
    • 0008853960 scopus 로고    scopus 로고
    • Rational approximation preconditioners for general sparse linear systems
    • Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN
    • P. Guillaume, Y. Saad, M. Sosonkina, Rational approximation preconditioners for general sparse linear systems, Technical Report umsi-99-209, Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN, 1999.
    • (1999) Technical Report , vol.UMSI-99-209
    • Guillaume, P.1    Saad, Y.2    Sosonkina, M.3
  • 13
    • 0022807929 scopus 로고
    • A simple parallel algorithm for the maximum independent set problem
    • Luby M., A simple parallel algorithm for the maximum independent set problem. SIAM J. Comp. 14(4):1986;1036-1053.
    • (1986) SIAM J. Comp. , vol.14 , Issue.4 , pp. 1036-1053
    • Luby, M.1
  • 14
    • 0024641233 scopus 로고
    • Independent set orderings for parallel matrix factorizations by Gaussian elimination
    • Leuze R., Independent set orderings for parallel matrix factorizations by Gaussian elimination. Parallel Comp. 10:1989;177-191.
    • (1989) Parallel Comp. , vol.10 , pp. 177-191
    • Leuze, R.1
  • 15
    • 1642279323 scopus 로고    scopus 로고
    • A scalable parallel algorithm for incomplete factor preconditioning
    • (preprint), Old-Dominion University, Norfolk, VA
    • D. Hysom, A. Pothen, A scalable parallel algorithm for incomplete factor preconditioning, Technical Report (preprint), Old-Dominion University, Norfolk, VA, 2000.
    • (2000) Technical Report
    • Hysom, D.1    Pothen, A.2
  • 16
    • 0003692957 scopus 로고
    • Metis: Unstructured graph partitioning and sparse matrix ordering system
    • Department of Computer Science, University of Minnesota
    • G. Karypis, V. Kumar, Metis: Unstructured graph partitioning and sparse matrix ordering system, Technical Report, Department of Computer Science, University of Minnesota, 1995. http://www.cs.umn.edu/~karypis/metis .
    • (1995) Technical Report
    • Karypis, G.1    Kumar, V.2
  • 18
    • 0012162477 scopus 로고    scopus 로고
    • pARMS: A parallel version of the algebraic recursive multilevel solver
    • Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN
    • Z. Li, Y. Saad, M. Sosonkina, pARMS: A parallel version of the algebraic recursive multilevel solver, Technical Report UMSI-2001-100, Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN, 2001.
    • (2001) Technical Report , vol.UMSI-2001-100
    • Li, Z.1    Saad, Y.2    Sosonkina, M.3
  • 19
    • 84966241510 scopus 로고
    • An incomplete factorization technique for positive definite linear systems
    • Manteuffel T.A., An incomplete factorization technique for positive definite linear systems. Math. Comp. 32:1980;473-497.
    • (1980) Math. Comp. , vol.32 , pp. 473-497
    • Manteuffel, T.A.1
  • 20
    • 84964127276 scopus 로고
    • Domain decomposition methods for partial differential equations on parallel computers
    • Meurant G., Domain decomposition methods for partial differential equations on parallel computers. Int. J. Supercomp. Appl. 2:1988;5-12.
    • (1988) Int. J. Supercomp. Appl. , vol.2 , pp. 5-12
    • Meurant, G.1
  • 21
    • 0001085784 scopus 로고    scopus 로고
    • ILUM: A multi-elimination ILU preconditioner for general sparse matrices
    • Saad Y., ILUM: a multi-elimination ILU preconditioner for general sparse matrices. SIAM J. Sci. Comp. 17(4):1996;830-847.
    • (1996) SIAM J. Sci. Comp. , vol.17 , Issue.4 , pp. 830-847
    • Saad, Y.1
  • 24
    • 0033294485 scopus 로고    scopus 로고
    • Distributed Schur complement techniques for general sparse linear systems
    • Saad Y., Sosonkina M., Distributed Schur complement techniques for general sparse linear systems. SIAM J. Sci. Comp. 21(4):1999;1337-1356.
    • (1999) SIAM J. Sci. Comp. , vol.21 , Issue.4 , pp. 1337-1356
    • Saad, Y.1    Sosonkina, M.2
  • 25
    • 0037768594 scopus 로고    scopus 로고
    • Enhanced preconditioners for large sparse least squares problems
    • Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN
    • Y. Saad, M. Sosonkina, Enhanced preconditioners for large sparse least squares problems, Technical Report umsi-2001-1, Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN, 2001.
    • (2001) Technical Report , vol.UMSI-2001-1
    • Saad, Y.1    Sosonkina, M.2
  • 26
    • 22444454622 scopus 로고    scopus 로고
    • Solution of distributed sparse linear systems using PSPARSLIB
    • B. Kågström, et al. (Eds.), Applied Parallel Computing, PARA'98, Springer, Berlin
    • Y. Saad, M. Sosonkina, Solution of distributed sparse linear systems using PSPARSLIB, in: B. Kågström, et al. (Eds.), Applied Parallel Computing, PARA'98, Lecture Notes in Computer Science, No. 1541, Springer, Berlin, 1998, pp. 503-509.
    • (1998) Lecture Notes in Computer Science , vol.1541 , pp. 503-509
    • Saad, Y.1    Sosonkina, M.2
  • 27
    • 0141758510 scopus 로고    scopus 로고
    • ARMS: An algebraic recursive multilevel solver for general sparse linear systems
    • Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN, revised version of umsi-99-107
    • Y. Saad, B. Suchomel, ARMS: An algebraic recursive multilevel solver for general sparse linear systems, Technical Report umsi-99-107-REVIS, Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN, 2001, revised version of umsi-99-107.
    • (2001) Technical Report , vol.UMSI-99-107-REVIS
    • Saad, Y.1    Suchomel, B.2
  • 28
    • 0033295420 scopus 로고    scopus 로고
    • BILUM: Block versions of multi-elimination and multi-level ILU preconditioner for general sparse linear systems
    • Saad Y., Zhang J., BILUM: block versions of multi-elimination and multi-level ILU preconditioner for general sparse linear systems. SIAM J. Sci. Comp. 20:1999;2103-2121.
    • (1999) SIAM J. Sci. Comp. , vol.20 , pp. 2103-2121
    • Saad, Y.1    Zhang, J.2
  • 29
    • 0033233446 scopus 로고    scopus 로고
    • BILUTM: A domain-based multi-level block ILUT preconditioner for general sparse matrices
    • Y. Saad, J. Zhang, BILUTM: a domain-based multi-level block ILUT preconditioner for general sparse matrices, SIAM J. Matrix Anal. Appl. 21 (2000).
    • (2000) SIAM J. Matrix Anal. Appl. , vol.21
    • Saad, Y.1    Zhang, J.2
  • 32
    • 0036486985 scopus 로고    scopus 로고
    • Enhanced GMRES acceleration techniques for some CFD problems
    • Soulaimani A., Salah N.B., Saad Y., Enhanced GMRES acceleration techniques for some CFD problems. Int. J. CFD. 16:2002;1-20.
    • (2002) Int. J. CFD , vol.16 , pp. 1-20
    • Soulaimani, A.1    Salah, N.B.2    Saad, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.