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Volumn 39, Issue 23, 1996, Pages 3999-4020

Element resequencing for use with a multiple front algorithm

Author keywords

Finite element equations; Frontal methods; Gaussian elimination; Parse matrices

Indexed keywords

ALGORITHMS; COMPUTER AIDED ANALYSIS; EFFICIENCY; FINITE ELEMENT METHOD; MATRIX ALGEBRA;

EID: 0030393464     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19961215)39:23<3999::AID-NME35>3.0.CO;2-V     Document Type: Article
Times cited : (8)

References (42)
  • 1
    • 84984529908 scopus 로고
    • A frontal solution program for finite-element analysis
    • B. M. Irons, 'A frontal solution program for finite-element analysis', Int. j. numer. methods eng., 2, 5-32 (1970).
    • (1970) Int. J. Numer. Methods Eng. , vol.2 , pp. 5-32
    • Irons, B.M.1
  • 2
    • 0016881171 scopus 로고
    • Frontal solution program for unsymmetric matrices
    • P. Hood, 'Frontal solution program for unsymmetric matrices', Int. j. numer. methods eng., 10, 379-400 (1976).
    • (1976) Int. J. Numer. Methods Eng. , vol.10 , pp. 379-400
    • Hood, P.1
  • 3
    • 0039367379 scopus 로고
    • Enhancements to the MA32 package for solving sparse unsymmetric matrices
    • HMSO, London
    • I. S. Duff, 'Enhancements to the MA32 package for solving sparse unsymmetric matrices', Harwell Report AERE R11009, HMSO, London, 1983.
    • (1983) Harwell Report AERE R11009
    • Duff, I.S.1
  • 4
    • 0042945036 scopus 로고
    • Element resequencing for frontal solutions
    • J. R. Whiteman (ed.), Academic Press, New York
    • J. E. Akin and R. M. Pardue, 'Element resequencing for frontal solutions', in J. R. Whiteman (ed.), Mathematics of Finite Elements and Applications, Academic Press, New York, 1975.
    • (1975) Mathematics of Finite Elements and Applications
    • Akin, J.E.1    Pardue, R.M.2
  • 5
    • 0017430655 scopus 로고
    • A note on an element ordering scheme
    • A. Bykat, 'A note on an element ordering scheme', Int. j. numer. methods eng., 11, 194-198 (1977).
    • (1977) Int. J. Numer. Methods Eng. , vol.11 , pp. 194-198
    • Bykat, A.1
  • 6
    • 0019056975 scopus 로고
    • Automatic reduction of frontwidth for finite element analysis
    • A. Razzaque,'Automatic reduction of frontwidth for finite element analysis', Int. j. numer. methods eng., 15, 1315-1324 (1980).
    • (1980) Int. J. Numer. Methods Eng. , vol.15 , pp. 1315-1324
    • Razzaque, A.1
  • 7
    • 0019626928 scopus 로고
    • An algorithm for frontwidth reduction
    • H. L. Pina, 'An algorithm for frontwidth reduction', Int. j. numer. methods eng., 17, 1539-1546 (1981).
    • (1981) Int. J. Numer. Methods Eng. , vol.17 , pp. 1539-1546
    • Pina, H.L.1
  • 8
    • 0020802894 scopus 로고
    • Automatic element reordering for finite-element analysis with frontal schemes
    • S. W. Sloan and M. F. Randolph, 'Automatic element reordering for finite-element analysis with frontal schemes', Int. j. numer. methods eng., 19, 1153-1181 (1983).
    • (1983) Int. J. Numer. Methods Eng. , vol.19 , pp. 1153-1181
    • Sloan, S.W.1    Randolph, M.F.2
  • 9
    • 0020764540 scopus 로고
    • A two-step approach to finite element ordering
    • S. J. Fenves and K. H. Law, 'A two-step approach to finite element ordering', Int. j. numer. methods eng., 19, 891-911 (1983).
    • (1983) Int. J. Numer. Methods Eng. , vol.19 , pp. 891-911
    • Fenves, S.J.1    Law, K.H.2
  • 10
    • 0022661211 scopus 로고
    • An algorithm for profile and frontsize reduction of sparse matrices
    • S. W. Sloan, 'An algorithm for profile and frontsize reduction of sparse matrices', Int. j. numer. methods eng., 23, 239-251 (1986).
    • (1986) Int. J. Numer. Methods Eng. , vol.23 , pp. 239-251
    • Sloan, S.W.1
  • 11
    • 0024012137 scopus 로고
    • The versatility of automatic mesh generators based on tree structures and advanced geometric constructs
    • M. S. Shephard, P. L. Baehmann and K. R. Griece, The versatility of automatic mesh generators based on tree structures and advanced geometric constructs', Commun, appl. numer. methods, 4, 379-392 (1988).
    • (1988) Commun, Appl. Numer. Methods , vol.4 , pp. 379-392
    • Shephard, M.S.1    Baehmann, P.L.2    Griece, K.R.3
  • 12
    • 0024766306 scopus 로고
    • The use of profile algorithms with a frontal code
    • I. S. Duff, J. K. Reid and J. A. Scott, The use of profile algorithms with a frontal code', Int. j. numer. methods eng., 28, 2555-2568 (1989).
    • (1989) Int. J. Numer. Methods Eng. , vol.28 , pp. 2555-2568
    • Duff, I.S.1    Reid, J.K.2    Scott, J.A.3
  • 13
    • 0026388849 scopus 로고
    • A connectivity coordinate system for node and element ordering
    • A. Kaveh, 'A connectivity coordinate system for node and element ordering', Comput. Struct., 41, 1217-1223 (1991).
    • (1991) Comput. Struct. , vol.41 , pp. 1217-1223
    • Kaveh, A.1
  • 14
    • 0026917331 scopus 로고
    • An efficient profile reduction algorithm based on the frontal ordering scheme and graph theory
    • B. U. Koo and B. C. Lee, 'An efficient profile reduction algorithm based on the frontal ordering scheme and graph theory', Comput. Struct., 44, 1339-1347 (1992).
    • (1992) Comput. Struct. , vol.44 , pp. 1339-1347
    • Koo, B.U.1    Lee, B.C.2
  • 15
    • 0027609617 scopus 로고
    • An algorithm for profile and frontsize reduction of sparse matrices with a symmetric structure
    • S. R. P. Medeiros, P. M. Pimenta and P. Goldenberg, 'An algorithm for profile and frontsize reduction of sparse matrices with a symmetric structure', Eng. Comput., 10, 257-266 (1993).
    • (1993) Eng. Comput. , vol.10 , pp. 257-266
    • Medeiros, S.R.P.1    Pimenta, P.M.2    Goldenberg, P.3
  • 16
    • 0028436709 scopus 로고
    • Node and element resequencing using the Laplacian of a finite element graph: Part I - General concepts and algorithm
    • G. H. Paulino, I. F. M. Menezes, M. Gattass and S. Mukherjee, 'Node and element resequencing using the Laplacian of a finite element graph: part I - general concepts and algorithm', Int. j. numer. methods eng., 37, 1511-1530 (1994).
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 1511-1530
    • Paulino, G.H.1    Menezes, I.F.M.2    Gattass, M.3    Mukherjee, S.4
  • 19
    • 0040690069 scopus 로고    scopus 로고
    • Advanced Computing Department, Harwell Laboratory, Oxfordshire, England
    • Harwell Subroutine Library, 'A catalogue of subroutines (Release 12)', Advanced Computing Department, Harwell Laboratory, Oxfordshire, England.
    • A Catalogue of Subroutines (Release 12)
  • 21
    • 0030092662 scopus 로고    scopus 로고
    • The design of a new frontal code for solving sparse unsymmetric systems
    • I. S. Duff and J. A. Scott, The design of a new frontal code for solving sparse unsymmetric systems', ACM Trans. Math. Softw., 22, 30-45 (1996).
    • (1996) ACM Trans. Math. Softw. , vol.22 , pp. 30-45
    • Duff, I.S.1    Scott, J.A.2
  • 22
    • 0001406470 scopus 로고
    • A hybrid profile reduction algorithm
    • N. E. Gibbs, 'A hybrid profile reduction algorithm', ACM Trans. Math. Softw., 2, 378-387 (1976).
    • (1976) ACM Trans. Math. Softw. , vol.2 , pp. 378-387
    • Gibbs, N.E.1
  • 23
    • 0016939622 scopus 로고
    • An algorithm for reducing the bandwidth and profile of a sparse matrix
    • N. E. Gibbs, W. G. Poole Jr. and P. K. Stockmeyer, 'An algorithm for reducing the bandwidth and profile of a sparse matrix', SIAM J. Numer. Anal., 13, 236-250 (1976).
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 236-250
    • Gibbs, N.E.1    Poole Jr., W.G.2    Stockmeyer, P.K.3
  • 24
    • 0018515562 scopus 로고
    • An implementation of a pseudoperipheral node finder
    • A. George and W. H. Liu, 'An implementation of a pseudoperipheral node finder', ACM Trans. Math. Softw., 5, 284-295 (1979).
    • (1979) ACM Trans. Math. Softw. , vol.5 , pp. 284-295
    • George, A.1    Liu, W.H.2
  • 27
    • 84972629949 scopus 로고
    • Concurrent multifrontal methods: Shared memory, cache, and frontwidth issues
    • R. E. Benner, G. R. Montry and G. G. Weigand, 'Concurrent multifrontal methods: shared memory, cache, and frontwidth issues', Int. J. Supercomput. Appl., 1, 26-44 (1987).
    • (1987) Int. J. Supercomput. Appl. , vol.1 , pp. 26-44
    • Benner, R.E.1    Montry, G.R.2    Weigand, G.G.3
  • 28
    • 0023849939 scopus 로고    scopus 로고
    • A simple and efficient automatic FEM domain decomposer
    • C. Farhat, 'A simple and efficient automatic FEM domain decomposer', Comput. Struct., 28, 579-602 (1998).
    • (1998) Comput. Struct. , vol.28 , pp. 579-602
    • Farhat, C.1
  • 29
    • 4243105817 scopus 로고    scopus 로고
    • Automatic mesh decomposition and concurrent finite element analysis for hypercube multiprocessor computer
    • J. G. Malone, 'Automatic mesh decomposition and concurrent finite element analysis for hypercube multiprocessor computer', Comput. Methods Appl. Mech. Eng., 70, 20-58 (1998).
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.70 , pp. 20-58
    • Malone, J.G.1
  • 30
    • 84990479742 scopus 로고
    • An efficient heuristic procedure for partitioning graphs
    • B. Keringhan and S. Lin, 'An efficient heuristic procedure for partitioning graphs', Bell System Tech. J., 29, 291-307 (1970).
    • (1970) Bell System Tech. J. , vol.29 , pp. 291-307
    • Keringhan, B.1    Lin, S.2
  • 32
    • 84990643496 scopus 로고
    • Performance of dynamics load balancing algorithms for unstructured mesh calculations
    • R. D. Williams, 'Performance of dynamics load balancing algorithms for unstructured mesh calculations', Concurrency, Practice, Experience, 3, 457-482 (1991).
    • (1991) Concurrency, Practice, Experience , vol.3 , pp. 457-482
    • Williams, R.D.1
  • 33
    • 0000812783 scopus 로고
    • Partitioning sparse matrices with eigenvectors of graphs
    • A. Pothen, H. D. Simon and K. P. Liou, 'Partitioning sparse matrices with eigenvectors of graphs', SIAM J. Matrix Anal. Appl, 11, 430-452 (1990).
    • (1990) SIAM J. Matrix Anal. Appl , vol.11 , pp. 430-452
    • Pothen, A.1    Simon, H.D.2    Liou, K.P.3
  • 34
    • 0003844681 scopus 로고
    • An improved spectral graph partitioning algorithm for mapping parallel computations
    • Sandia National Laboratories
    • B. Hendrickson and R. Leland, 'An improved spectral graph partitioning algorithm for mapping parallel computations', Technical Report SAND92-1460, Sandia National Laboratories, 1992.
    • (1992) Technical Report SAND92-1460
    • Hendrickson, B.1    Leland, R.2
  • 35
    • 0003436790 scopus 로고
    • A multilevel algorithm for partitioning graphs
    • Sandia National Laboratories
    • B. Hendrickson and R. Leland, 'A multilevel algorithm for partitioning graphs', Technical Report SAND93-1301, Sandia National Laboratories, 1993.
    • (1993) Technical Report SAND93-1301
    • Hendrickson, B.1    Leland, R.2
  • 38
    • 0003573801 scopus 로고
    • The Chaco user's guide, version 1.0
    • Sandia National Laboratories
    • B. Hendrickson and R. Leland, The Chaco user's guide, version 1.0', Technical Report SAND92-2339, Sandia National Laboratories, 1993.
    • (1993) Technical Report SAND92-2339
    • Hendrickson, B.1    Leland, R.2
  • 40
    • 0020822138 scopus 로고
    • The multifrontal solution of indefinite sparse symmetric linear systems
    • I. S. Duff and J. K. Reid, The multifrontal solution of indefinite sparse symmetric linear systems', ACM Trans. Math, Software, 9, 302-325 (1983).
    • (1983) ACM Trans. Math, Software , vol.9 , pp. 302-325
    • Duff, I.S.1    Reid, J.K.2
  • 41
    • 0025721209 scopus 로고
    • A parallel frontal solver on the Alliant FX/80
    • W. P. Zhang and E. M. Liu, 'A parallel frontal solver on the Alliant FX/80', Comput. Struct., 38, 203-215 (1991).
    • (1991) Comput. Struct. , vol.38 , pp. 203-215
    • Zhang, W.P.1    Liu, E.M.2
  • 42
    • 84985367884 scopus 로고
    • A note on a two-step approach to element ordering
    • A. Kaveh, 'A note on a two-step approach to element ordering', Int. j. numer. methods eng., 20, 1553-1554 (1984).
    • (1984) Int. J. Numer. Methods Eng. , vol.20 , pp. 1553-1554
    • Kaveh, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.