메뉴 건너뛰기




Volumn 82, Issue 28 SPEC. ISS., 2004, Pages 2363-2375

Efficient iterative solvers for structural dynamics problems

Author keywords

Finite element methods; Incomplete cholesky factorization; Iterative linear solvers; Krylov subspace methods; Preconditioners; Sparse direct solvers; Structural mechanics

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER SOFTWARE; FINITE ELEMENT METHOD; ITERATIVE METHODS; LINEAR SYSTEMS; PROBLEM SOLVING;

EID: 4944230233     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.06.001     Document Type: Conference Paper
Times cited : (19)

References (30)
  • 1
    • 0003814363 scopus 로고    scopus 로고
    • Livermore, CA: Livermore Software Technology Corporation
    • Hallquist JO. LS-Dyna theoretical manual. Livermore, CA: Livermore Software Technology Corporation; 1998.
    • (1998) LS-dyna Theoretical Manual
    • Hallquist, J.O.1
  • 2
    • 0003901448 scopus 로고
    • An improved incomplete Cholesky factorization
    • Argonne, IL
    • Jones MT, Plassmann PE. An improved incomplete Cholesky factorization. Argonne National Lab., Report MCS-P206-0191, Argonne, IL; 1992.
    • (1992) Argonne National Lab., Report , vol.MCS-P206-0191
    • Jones, M.T.1    Plassmann, P.E.2
  • 4
    • 0000602242 scopus 로고
    • The effect of ordering on preconditioned conjugate gradients
    • Duff IS, Meurant GA. The effect of ordering on preconditioned conjugate gradients. BIT 1989;29:635-57.
    • (1989) BIT , vol.29 , pp. 635-657
    • Duff, I.S.1    Meurant, G.A.2
  • 9
    • 4944240137 scopus 로고    scopus 로고
    • Efficient parallel solvers for the biharmonic equation. University of Manchester
    • July
    • Mihajlovic MD, Silvester DJ. Efficient parallel solvers for the biharmonic equation. University of Manchester, Numerical Analysis Report no. 406, July 2002.
    • (2002) Numerical Analysis Report No. 406 , vol.406
    • Mihajlovic, M.D.1    Silvester, D.J.2
  • 11
    • 0036524838 scopus 로고    scopus 로고
    • Deflation of eigenvalues for GMRES in lattice QCD
    • Morgan RB, Wilcox W. Deflation of eigenvalues for GMRES in lattice QCD. Nucl Phys Proc Suppl 2002;106:1067-9.
    • (2002) Nucl Phys Proc Suppl , vol.106 , pp. 1067-1069
    • Morgan, R.B.1    Wilcox, W.2
  • 12
    • 0000259877 scopus 로고    scopus 로고
    • Truncation strategies for optimal Krylov subspace methods
    • De Sturler E. Truncation strategies for optimal Krylov subspace methods. SIAM J Num Anal 1999;36(3):864-89.
    • (1999) SIAM J Num Anal , vol.36 , Issue.3 , pp. 864-889
    • De Sturler, E.1
  • 16
    • 0002655630 scopus 로고
    • On the method of conjugate gradients for the solution of large sparse systems of linear equations
    • Reid JK, editor. New York: Academic Press
    • Reid JK. On the method of conjugate gradients for the solution of large sparse systems of linear equations. In: Reid JK, editor. Large sparse sets of linear equations. New York: Academic Press; 1971.
    • (1971) Large Sparse Sets of Linear Equations
    • Reid, J.K.1
  • 17
    • 84966225158 scopus 로고
    • An iterative solution method for linear equations systems of which the coefficient matrix is a symmetric M-matrix
    • Meijerink J, van der Vorst HA. An iterative solution method for linear equations systems of which the coefficient matrix is a symmetric M-matrix. Math Comp 1977;31:148-62.
    • (1977) Math Comp , vol.31 , pp. 148-162
    • Meijerink, J.1    Van Der Vorst, H.A.2
  • 18
    • 0003039594 scopus 로고
    • A class of first-order factorizations
    • Gustafsson I. A class of first-order factorizations. BIT 1978;18:142-56.
    • (1978) BIT , vol.18 , pp. 142-156
    • Gustafsson, I.1
  • 19
    • 84976824344 scopus 로고
    • Solving sparse symmetric sets of linear equations by preconditioned conjugate gradients
    • Munksgaard N. Solving sparse symmetric sets of linear equations by preconditioned conjugate gradients. ACM Trans Math Software 1980;6:206-19.
    • (1980) ACM Trans Math Software , vol.6 , pp. 206-219
    • Munksgaard, N.1
  • 20
    • 84985408358 scopus 로고
    • ILUT: A dual threshold incomplete ILU factorization
    • Saad Y. ILUT: a dual threshold incomplete ILU factorization. Numer Lin Algeb Appl 1994;4:387-402.
    • (1994) Numer Lin Algeb Appl , vol.4 , pp. 387-402
    • Saad, Y.1
  • 21
    • 0000470989 scopus 로고
    • Sparse matrices in MATLAB: Design and implementation
    • Gilbert JR, Moler C, Schreiber R. Sparse matrices in MATLAB: design and implementation. SIAM J Matrix Anal Appl 1992;13(1):333-56.
    • (1992) SIAM J Matrix Anal Appl , vol.13 , Issue.1 , pp. 333-356
    • Gilbert, J.R.1    Moler, C.2    Schreiber, R.3
  • 22
    • 0033294627 scopus 로고    scopus 로고
    • Incomplete Cholesky factorizations with limited memory
    • Lin C, Moré J. Incomplete Cholesky factorizations with limited memory. SIAM J Sci Comput 1999;21(1):24-45.
    • (1999) SIAM J Sci Comput , vol.21 , Issue.1 , pp. 24-45
    • Lin, C.1    Moré, J.2
  • 23
    • 0010515320 scopus 로고
    • Shifted incomplete Cholesky factorization
    • Philadelphia: SIAM
    • Manteuffel TA. Shifted incomplete Cholesky factorization. In: Sparse Matrix Proceedings. Philadelphia: SIAM; 1978.
    • (1978) Sparse Matrix Proceedings
    • Manteuffel, T.A.1
  • 24
    • 84966241510 scopus 로고
    • An incomplete factorization technique for positive definite linear systems
    • Manteuffel TA. An incomplete factorization technique for positive definite linear systems. Math Comp 1980;34:473-97.
    • (1980) Math Comp , vol.34 , pp. 473-497
    • Manteuffel, T.A.1
  • 26
  • 27
    • 4944251264 scopus 로고    scopus 로고
    • IBM Corporation, December
    • Engineering and Scientific Subroutine Library (ESSL) for ABC Version 3 Release 3: Guide and Reference. IBM Corporation, December 2001.
    • (2001) ABC Version 3 Release 3: Guide and Reference
  • 29
    • 0000713765 scopus 로고
    • Row projections methods for large nonsyrmnetric linear systems
    • Bramley R, Sameh A. Row projections methods for large nonsyrmnetric linear systems. SIAM J Sci Stat Comput 1992;13(1):168-93.
    • (1992) SIAM J Sci Stat Comput , vol.13 , Issue.1 , pp. 168-193
    • Bramley, R.1    Sameh, A.2
  • 30
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • Grote MJ, Huckle T. Parallel preconditioning with sparse approximate inverses. SIAM J Sci Comput 1997;18:838-53.
    • (1997) SIAM J Sci Comput , vol.18 , pp. 838-853
    • Grote, M.J.1    Huckle, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.