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Volumn 40, Issue 8, 2009, Pages 675-685

A comparison of projective and direct solvers for finite elements in elastostatics

Author keywords

Conjugate gradient; Krylov; Preconditioning; Reorderings

Indexed keywords

CONJUGATE GRADIENT METHOD; FINITE ELEMENT METHOD;

EID: 64849100142     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advengsoft.2008.11.010     Document Type: Article
Times cited : (17)

References (29)
  • 4
    • 34547138509 scopus 로고    scopus 로고
    • HSL archive, a catalogue of subroutines
    • HSL archive - a catalogue of subroutines. Aea Technology, Engineering Software, CCLRC; 2004. http://www.cse.clrc.ac.uk/nag/hsl.
    • (2004) Aea Technology, Engineering Software, CCLRC
  • 6
    • 0024930116 scopus 로고
    • Studies of finite element procedures. An evaluation of preconditioned iterative solvers
    • Angeleri F., Sonnad V., and Bathe K.L. Studies of finite element procedures. An evaluation of preconditioned iterative solvers. Comput Struct 32 (1989) 671-677
    • (1989) Comput Struct , vol.32 , pp. 671-677
    • Angeleri, F.1    Sonnad, V.2    Bathe, K.L.3
  • 7
    • 70350489764 scopus 로고    scopus 로고
    • Iterative finite element solutions in nonlinear solid mechanics
    • Ciarlet P.G., and Lions J.L. (Eds), Elsevier
    • Ferencz R.M., and Hughes T.J.R. Iterative finite element solutions in nonlinear solid mechanics. In: Ciarlet P.G., and Lions J.L. (Eds). Handbook of numerical analysis vol. VI (1998), Elsevier
    • (1998) Handbook of numerical analysis , vol.VI
    • Ferencz, R.M.1    Hughes, T.J.R.2
  • 8
    • 0033207755 scopus 로고    scopus 로고
    • Problem-dependent preconditioners for iterative solvers in FE elastostatics
    • Saint-George P., Warzee G., Notay Y., and Beauwens R. Problem-dependent preconditioners for iterative solvers in FE elastostatics. Comput Struct 73 (1999) 33-43
    • (1999) Comput Struct , vol.73 , pp. 33-43
    • Saint-George, P.1    Warzee, G.2    Notay, Y.3    Beauwens, R.4
  • 9
    • 4944230233 scopus 로고    scopus 로고
    • Efficient iterative solvers for structural dynamics problems
    • Kilic S.A., Saied F., and Sameh A. Efficient iterative solvers for structural dynamics problems. Comput Struct 82 (2004) 2363-2375
    • (2004) Comput Struct , vol.82 , pp. 2363-2375
    • Kilic, S.A.1    Saied, F.2    Sameh, A.3
  • 12
    • 85009472887 scopus 로고    scopus 로고
    • Karypis G, Kumar V. METIS. A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. Version 4.0. Minneapolis, MN: University of Minnesota, Department of Computer Science/Army HPC Research Center; 1998
    • Karypis G, Kumar V. METIS. A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. Version 4.0. Minneapolis, MN: University of Minnesota, Department of Computer Science/Army HPC Research Center; 1998.
  • 13
    • 0000565358 scopus 로고
    • Ordering methods for preconditioned conjugate gradient methods applied to unstructured grid problems
    • D'Azevedo E.F., Fortsyth P.A., and Tang W.P. Ordering methods for preconditioned conjugate gradient methods applied to unstructured grid problems. SIAM J Matrix Anal Appl 13 (1992) 944-961
    • (1992) SIAM J Matrix Anal Appl , vol.13 , pp. 944-961
    • D'Azevedo, E.F.1    Fortsyth, P.A.2    Tang, W.P.3
  • 14
    • 0000602242 scopus 로고
    • The effect of ordering on preconditioned conjugate gradients
    • Duff I.S., and Meurant G.A. The effect of ordering on preconditioned conjugate gradients. BIT 29 (1989) 635-657
    • (1989) BIT , vol.29 , pp. 635-657
    • Duff, I.S.1    Meurant, G.A.2
  • 15
    • 0024663788 scopus 로고
    • Ordering techniques for the preconditioned conjugate gradient method on parallel computers
    • Elman H.C., and Agron E. Ordering techniques for the preconditioned conjugate gradient method on parallel computers. Comput Phys Commun 14 (1989) 253-269
    • (1989) Comput Phys Commun , vol.14 , pp. 253-269
    • Elman, H.C.1    Agron, E.2
  • 16
    • 0000649580 scopus 로고
    • Orderings for conjugate gradient preconditionings
    • Ortega J.M. Orderings for conjugate gradient preconditionings. SIAM J Optim 1 (1991) 565-582
    • (1991) SIAM J Optim , vol.1 , pp. 565-582
    • Ortega, J.M.1
  • 17
    • 0031129196 scopus 로고    scopus 로고
    • Orderings for parallel conjugate gradients preconditioners
    • Stotland S.A., and Ortega J.M. Orderings for parallel conjugate gradients preconditioners. SIAM J Sci Comput 18 (1997) 854-868
    • (1997) SIAM J Sci Comput , vol.18 , pp. 854-868
    • Stotland, S.A.1    Ortega, J.M.2
  • 18
    • 0033293791 scopus 로고    scopus 로고
    • Orderings for incomplete factorization preconditioning of nonsymmetric problems
    • Benzi M., Szyld D.B., and Duin A. Orderings for incomplete factorization preconditioning of nonsymmetric problems. SIAM J Sci Comput 20 5 (1999) 1652-1670
    • (1999) SIAM J Sci Comput , vol.20 , Issue.5 , pp. 1652-1670
    • Benzi, M.1    Szyld, D.B.2    Duin, A.3
  • 19
    • 0027545264 scopus 로고
    • The effect of ordering on preconditioned GMRES algorithm
    • Dutto L.C. The effect of ordering on preconditioned GMRES algorithm. Int J Numer Methods Eng 36 (1993) 457-497
    • (1993) Int J Numer Methods Eng , vol.36 , pp. 457-497
    • Dutto, L.C.1
  • 20
    • 18844471650 scopus 로고    scopus 로고
    • Orderings for factorized sparse approximate inverse preconditioners
    • Benzi M., and Tuma M. Orderings for factorized sparse approximate inverse preconditioners. SIAM J Sci Comput 30 5 (2000) 1851-1868
    • (2000) SIAM J Sci Comput , vol.30 , Issue.5 , pp. 1851-1868
    • Benzi, M.1    Tuma, M.2
  • 21
    • 0036663124 scopus 로고    scopus 로고
    • The effect of orderings on sparse approximate inverse preconditioners for non-symmetric problems
    • Flòrez E., Garcìa M.D., Gonzàles L., and Montero G. The effect of orderings on sparse approximate inverse preconditioners for non-symmetric problems. Adv Eng Softw 33 (2002) 611-619
    • (2002) Adv Eng Softw , vol.33 , pp. 611-619
    • Flòrez, E.1    Garcìa, M.D.2    Gonzàles, L.3    Montero, G.4
  • 22
    • 64849106936 scopus 로고    scopus 로고
    • Reordering for the iterative solution of hybrid elastic structures
    • Topping B.H.V., Montero G., and Montenegro R. (Eds), Civil-Comp Press, Stirlingshire, United Kingdom
    • Comerlati A., Gambolati G., and Janna C. Reordering for the iterative solution of hybrid elastic structures. In: Topping B.H.V., Montero G., and Montenegro R. (Eds). Proceedings of the eighth international conference on computational structures technology (2006), Civil-Comp Press, Stirlingshire, United Kingdom 175
    • (2006) Proceedings of the eighth international conference on computational structures technology , pp. 175
    • Comerlati, A.1    Gambolati, G.2    Janna, C.3
  • 23
    • 0002497330 scopus 로고
    • The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
    • Kershaw D.S. The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations. J Comput Phys 26 (1978) 43-65
    • (1978) J Comput Phys , vol.26 , pp. 43-65
    • Kershaw, D.S.1
  • 24
    • 84985408358 scopus 로고
    • ILUT: a dual threshold incomplete ILU factorization
    • Saad Y. ILUT: a dual threshold incomplete ILU factorization. Numer Lin Alg Appl 1 (1994) 387-402
    • (1994) Numer Lin Alg Appl , vol.1 , pp. 387-402
    • Saad, Y.1
  • 25
    • 0031251615 scopus 로고    scopus 로고
    • ILUS: an incomplete LU preconditioner in sparse skyline format
    • Chow E., and Saad Y. ILUS: an incomplete LU preconditioner in sparse skyline format. Int J Numer Methods Fluids 25 (1997) 739-748
    • (1997) Int J Numer Methods Fluids , vol.25 , pp. 739-748
    • Chow, E.1    Saad, Y.2
  • 26
    • 2342480530 scopus 로고    scopus 로고
    • Crout version of ILU for general sparse matrices
    • Li N., Saad Y., and Chow E. Crout version of ILU for general sparse matrices. SIAM J Sci Comput 25 (2003) 716-728
    • (2003) SIAM J Sci Comput , vol.25 , pp. 716-728
    • Li, N.1    Saad, Y.2    Chow, E.3
  • 27
    • 0033294627 scopus 로고    scopus 로고
    • Incomplete Cholesky factorizations with limited memory
    • Lin C., and Moré J.J. Incomplete Cholesky factorizations with limited memory. SIAM J Sci Comput 21 (1999) 24-45
    • (1999) SIAM J Sci Comput , vol.21 , pp. 24-45
    • Lin, C.1    Moré, J.J.2
  • 28
    • 0000444875 scopus 로고    scopus 로고
    • Water-gas dynamics and coastal land subsidence over Chioggia Mare field Northern Adriatic Sea
    • Teatini P., Baú D., and Gambolati G. Water-gas dynamics and coastal land subsidence over Chioggia Mare field Northern Adriatic Sea. Hydrogeol J 8 (2000) 462-479
    • (2000) Hydrogeol J , vol.8 , pp. 462-479
    • Teatini, P.1    Baú, D.2    Gambolati, G.3
  • 29
    • 33644809698 scopus 로고    scopus 로고
    • Groundwater pumping and land subsidence in the Emilia-Romagna coastland: modeling the past occurrence and the future trend
    • 10.1029/2005WR004242
    • Teatini P., Ferronato M., Gambolati G., and Gonella M. Groundwater pumping and land subsidence in the Emilia-Romagna coastland: modeling the past occurrence and the future trend. Water Resour Res 42 W01406 (2005) 10.1029/2005WR004242
    • (2005) Water Resour Res , vol.42 , Issue.W01406
    • Teatini, P.1    Ferronato, M.2    Gambolati, G.3    Gonella, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.