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Volumn 27, Issue 12, 2003, Pages 1043-1056

Scaling improves stability of preconditioned CG-like solvers for FE consolidation equations

Author keywords

Coupled consolidation; Finite elements; Preconditioned CG like solvers; Scaling algorithms; Stability to round off errors

Indexed keywords

CONSOLIDATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 0141888877     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.311     Document Type: Article
Times cited : (19)

References (23)
  • 2
    • 0035949106 scopus 로고    scopus 로고
    • A modified Jacobi preconditioner for solving ill-conditioned Biot's consolidation equations using symmetric quasi minimal residual method
    • Chan SH, Phoon KK, Lee FH. A modified Jacobi preconditioner for solving ill-conditioned Biot's consolidation equations using symmetric quasi minimal residual method. International Journal for Numerical and Analytical Methods in Geomechanics 2001; 25:1001 1025.
    • (2001) International Journal for Numerical and Analytical Methods in Geomechanics , vol.25 , pp. 1001-1025
    • Chan, S.H.1    Phoon, K.K.2    Lee, F.H.3
  • 6
    • 84966225158 scopus 로고
    • An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • Meijerink JA, van der Vorst HA. An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Mathematics of Computation 1977; 31:148-162.
    • (1977) Mathematics of Computation , vol.31 , pp. 148-162
    • Meijerink, J.A.1    van der Vorst, H.A.2
  • 7
    • 0002497330 scopus 로고
    • The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
    • Kershaw DS. The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations. Journal of Computational Physics 1978; 26:43-65.
    • (1978) Journal of Computational Physics , vol.26 , pp. 43-65
    • Kershaw, D.S.1
  • 8
    • 84985408358 scopus 로고
    • ILUT: A dual threshold incomplete ILU factorization
    • Saad Y. ILUT: A dual threshold incomplete ILU factorization. Numerical Linear Algebra with Applications 1994; 1:387-402.
    • (1994) Numerical Linear Algebra With Applications , vol.1 , pp. 387-402
    • Saad, Y.1
  • 13
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
    • van der Vorst HA. Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. SIAM Journal of Scientific and Statistical Computing 1992; 13:631-644.
    • (1992) SIAM Journal of Scientific and Statistical Computing , vol.13 , pp. 631-644
    • van der Vorst, H.A.1
  • 14
    • 0001031880 scopus 로고
    • A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
    • Freund RW. A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. SIAM Journal of Scientific Computing 1993; 14:470-482.
    • (1993) SIAM Journal of Scientific Computing , vol.14 , pp. 470-482
    • Freund, R.W.1
  • 17
    • 84953600891 scopus 로고
    • A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type
    • London
    • Crank J, Nicolson P. A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type. In Proceedings of the Cambridge Philosophical Society. vol. 40 London, 1947; 50-67.
    • (1947) Proceedings of the Cambridge Philosophical Society , vol.40 , pp. 50-67
    • Crank, J.1    Nicolson, P.2
  • 18
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • Biot MA. General theory of three-dimensional consolidation. Journal of Applied Physics 1941; 12:155-164.
    • (1941) Journal of Applied Physics , vol.12 , pp. 155-164
    • Biot, M.A.1
  • 19
    • 0002366748 scopus 로고    scopus 로고
    • Projection methods for the finite element solution of the dual-porosity model in variably saturated porous media
    • of NATO ASI Series 2: Environment, Aral MM (ed.). Kluwer Academic: Dordrecht, Holland
    • Gambolati G, Putti M, Paniconi C. Projection methods for the finite element solution of the dual-porosity model in variably saturated porous media. In Advances in Groundwater Pollution Control and Remediation, vol. 9 of NATO ASI Series 2: Environment, Aral MM (ed.). Kluwer Academic: Dordrecht, Holland, 1996; 97-125.
    • (1996) Advances in Groundwater Pollution Control and Remediation , vol.9 , pp. 97-125
    • Gambolati, G.1    Putti, M.2    Paniconi, C.3
  • 20
    • 0038900174 scopus 로고
    • Two- and three-dimensional consolidation
    • Desai CS. Christian JT (eds). McGraw-Hill: New York
    • Christian JT. Two- and three-dimensional consolidation. In Numerical Methods in Geotechnical Engineering. Desai CS. Christian JT (eds). McGraw-Hill: New York, 1977; 399-426.
    • (1977) Numerical Methods in Geotechnical Engineering , pp. 399-426
    • Christian, J.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.