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Volumn 36, Issue 1, 1996, Pages 86-100

An incomplete factorization preconditioning method based on modification of element matrices

Author keywords

Element matrix modifications; Elliptic partial differential equations; Incomplete factorizations

Indexed keywords


EID: 0004834752     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01740546     Document Type: Article
Times cited : (19)

References (16)
  • 1
    • 0017997338 scopus 로고
    • Iterative methods for the solution of the Naviers equations of elasticity
    • O. Axelsson and I. Gustafsson, Iterative methods for the solution of the Naviers equations of elasticity, Comput. Meth. Appl. Mech. Engrg. 15 (1978), pp. 241-258.
    • (1978) Comput. Meth. Appl. Mech. Engrg. , vol.15 , pp. 241-258
    • Axelsson, O.1    Gustafsson, I.2
  • 2
    • 84966225868 scopus 로고
    • Preconditioning and two-level multigrid methods of arbitrary degree of approximation
    • O. Axelsson and I. Gustafsson, Preconditioning and two-level multigrid methods of arbitrary degree of approximation, Math. Comp. 40 (1983), pp. 219-242.
    • (1983) Math. Comp. , vol.40 , pp. 219-242
    • Axelsson, O.1    Gustafsson, I.2
  • 3
    • 0001276831 scopus 로고
    • On the eigenvalue distribution of a class of precondioning methods
    • O. Axelsson and G. Lindskog, On the eigenvalue distribution of a class of precondioning methods, Numer. Math. 48 (1986), pp. 479-498.
    • (1986) Numer. Math. , vol.48 , pp. 479-498
    • Axelsson, O.1    Lindskog, G.2
  • 4
    • 0002130629 scopus 로고
    • Modified incomplete factorization strategies
    • Lecture Notes in Mathematics No. 1457, O. Axelsson and L. Kolotolina, eds., Springer Verlag, New York
    • R. Beauwens, Modified incomplete factorization strategies, in Preconditioning Conjugate Gradient Methods, Lecture Notes in Mathematics No. 1457, O. Axelsson and L. Kolotolina, eds., Springer Verlag, New York, 1990, pp. 1-16.
    • (1990) Preconditioning Conjugate Gradient Methods , pp. 1-16
    • Beauwens, R.1
  • 5
    • 2542518792 scopus 로고
    • Incomplete factorization preconditioning techniques for linear elasticity problems
    • R. Blaheta, Incomplete factorization preconditioning techniques for linear elasticity problems, ZAMM-Z. angew. Math. Mech. 71 (1991), pp. 638-640.
    • (1991) ZAMM-Z. Angew. Math. Mech. , vol.71 , pp. 638-640
    • Blaheta, R.1
  • 6
    • 0002636630 scopus 로고
    • Circulant preconditioners for elliptic problems
    • R. H. Chan and T. F. Chan, Circulant preconditioners for elliptic problems, J. Numer. Lin. Algebra Appl. 1 (1992), pp. 77-101.
    • (1992) J. Numer. Lin. Algebra Appl. , vol.1 , pp. 77-101
    • Chan, R.H.1    Chan, T.F.2
  • 7
    • 84966211825 scopus 로고
    • A stability analysis of incomplete LU-factorizations
    • H. C. Elman, A stability analysis of incomplete LU-factorizations, Math. Comp. 47 (1986), pp. 191-217.
    • (1986) Math. Comp. , vol.47 , pp. 191-217
    • Elman, H.C.1
  • 8
    • 0002043382 scopus 로고
    • Modified incomplete Cholesky (MIC) methods
    • D. J. Evans, ed., Gordon and Breach, New York
    • I. Gustafsson, Modified incomplete Cholesky (MIC) methods, in Preconditioning Methods; Theory and Applications, D. J. Evans, ed., Gordon and Breach, New York, 1983, pp. 265-293.
    • (1983) Preconditioning Methods; Theory and Applications , pp. 265-293
    • Gustafsson, I.1
  • 9
    • 85033747078 scopus 로고
    • On parallel solution of orthotropic elliptic problems
    • Report 22, Numerical Analysis Group, Department of Computing Science, Chalmers University of Technology, Göteborg, Sweden, to appear in
    • I. Gustafsson and G. Lindskog, On parallel solution of orthotropic elliptic problems, Report 22, Numerical Analysis Group, Department of Computing Science, Chalmers University of Technology, Göteborg, Sweden, 1992, (to appear in Numerical Linear Algebra with Applications).
    • (1992) Numerical Linear Algebra with Applications
    • Gustafsson, I.1    Lindskog, G.2
  • 11
    • 0002497330 scopus 로고
    • The incomplete Cholesky conjugate gradient method for the iterative solution of systems of linear equations
    • D. Kershaw, The incomplete Cholesky conjugate gradient method for the iterative solution of systems of linear equations, J. Comput. Phys. 26 (1978), pp. 43-65.
    • (1978) J. Comput. Phys. , vol.26 , pp. 43-65
    • Kershaw, D.1
  • 12
    • 0010515320 scopus 로고
    • Shifted incomplete Cholesky factorization
    • I. S. Duff and G. W. Stewart, eds., Society for Industrial and Applied Mathematics, Philadelphia, PA
    • T. A. Manteuffel, Shifted incomplete Cholesky factorization, in Sparse Matrix Proceedings 1978, I. S. Duff and G. W. Stewart, eds., Society for Industrial and Applied Mathematics, Philadelphia, PA, 1979, pp. 41-61.
    • (1979) Sparse Matrix Proceedings 1978 , pp. 41-61
    • Manteuffel, T.A.1
  • 13
    • 84966241510 scopus 로고
    • An incomplete factorization technique for positive definite linear systems
    • T. A. Manteuffel, An incomplete factorization technique for positive definite linear systems, Math. Comp. 34 (1980), pp. 473-497.
    • (1980) Math. Comp. , vol.34 , pp. 473-497
    • Manteuffel, T.A.1
  • 14
    • 84985370889 scopus 로고
    • Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity problems
    • S. D. Margenov, Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity problems, Numerical Linear Algebra with Applications, 1 (1994), pp. 65-74.
    • (1994) Numerical Linear Algebra with Applications , vol.1 , pp. 65-74
    • Margenov, S.D.1
  • 15
    • 84966225158 scopus 로고
    • An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • J. A. Meijerink and H. A. van der Vorst, An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix, Math. Comp. 31 (1977), pp. 148-162.
    • (1977) Math. Comp. , vol.31 , pp. 148-162
    • Meijerink, J.A.1    Van Der Vorst, H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.