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Volumn 5, Issue 2, 1998, Pages 123-139

On Parallel Solution of Linear Elasticity Problems. Part I: Theory

Author keywords

Elasticity problem; Parallel algorithm; Preconditioned conjugate gradient method; Separate displacement component

Indexed keywords


EID: 0032379678     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199803/04)5:2<123::AID-NLA130>3.0.CO;2-D     Document Type: Article
Times cited : (21)

References (14)
  • 1
    • 0017997338 scopus 로고
    • Iterative methods for the solution of the navier equations of elasticity
    • O. Axelsson and I. Gustafsson. Iterative methods for the solution of the navier equations of elasticity. Comput. Meths. Appl. Mech. Engrg., 15, 241-258, 1978.
    • (1978) Comput. Meths. Appl. Mech. Engrg. , vol.15 , pp. 241-258
    • Axelsson, O.1    Gustafsson, I.2
  • 2
    • 0013252548 scopus 로고
    • Finite Element Solution of Boundary Value Problems
    • Academic Press, New York
    • O. Axelsson and V. A. Barker. Finite Element Solution of Boundary Value Problems. Theory and Computation. Academic Press, New York, 1984.
    • (1984) Theory and Computation
    • Axelsson, O.1    Barker, V.A.2
  • 3
    • 84985378537 scopus 로고
    • Displacement decomposition - Incomplete factorization preconditioning techniques for linear elasticity problems
    • R. Blaheta. Displacement decomposition - incomplete factorization preconditioning techniques for linear elasticity problems. Numerical Linear Algebra with Applications. 1(2), 107-128, 1994.
    • (1994) Numerical Linear Algebra with Applications. , vol.1 , Issue.2 , pp. 107-128
    • Blaheta, R.1
  • 5
    • 0002043382 scopus 로고
    • Modified incomplete Cholesky (MIC) factorizations
    • D. J. Evans, editor, Gordon and Breach, New-York
    • I. Gustafsson. Modified incomplete Cholesky (MIC) factorizations. In D. J. Evans, editor, Preconditioning Methods; Theory and Applications, pages 265-293. Gordon and Breach, New-York, 1983.
    • (1983) Preconditioning Methods; Theory and Applications , pp. 265-293
    • Gustafsson, I.1
  • 6
    • 0008508685 scopus 로고
    • A class of preconditioned conjugate gradient methods applied to finite element equations
    • O. Axelsson and L. Yu. Kolotolina, editors, Nijmegen, 1989. Lecture Notes in Mathematics 1457, Springer Verlag, Berlin, Heidelberg, New York
    • I. Gustafsson. A class of preconditioned conjugate gradient methods applied to finite element equations. In O. Axelsson and L. Yu. Kolotolina, editors, Preconditioned Conjugate Gradient Methods, Proceedings, Nijmegen, 1989. Lecture Notes in Mathematics 1457, pages 44-57. Springer Verlag, Berlin, Heidelberg, New York, 1990.
    • (1990) Preconditioned Conjugate Gradient Methods, Proceedings , pp. 44-57
    • Gustafsson, I.1
  • 8
    • 0004834752 scopus 로고    scopus 로고
    • An incomplete factorization preconditioning method based on modification of element matrices
    • I. Gustafsson. An incomplete factorization preconditioning method based on modification of element matrices. BIT, 36(1), 86-100, 1996.
    • (1996) BIT , vol.36 , Issue.1 , pp. 86-100
    • Gustafsson, I.1
  • 11
    • 85034464918 scopus 로고    scopus 로고
    • A parallel PCG method for the linear elasticity problem
    • S. D. Margenov and P. S. Vassilevski, editors, Proceedings of the Second IMACS International Symposium on Iterative Methods in Linear Algebra, IMACS Series in Computational and Applied Mathematics IMACS Secretariat, Department of Computer Science, Rutgers University, Piscataway, NJ08855, USA
    • G. Lindskog. A parallel PCG method for the linear elasticity problem. In S. D. Margenov and P. S. Vassilevski, editors, Iterative Methods in Linear Algebra II, Proceedings of the Second IMACS International Symposium on Iterative Methods in Linear Algebra, IMACS Series in Computational and Applied Mathematics, Vol. 3, pages 93-105, IMACS Secretariat, Department of Computer Science, Rutgers University, Piscataway, NJ08855, USA, 1996.
    • (1996) Iterative Methods in Linear Algebra II , vol.3 , pp. 93-105
    • Lindskog, G.1
  • 13
    • 0000667107 scopus 로고
    • On Korn's second inequality
    • J. A. Nitsche. On Korn's second inequality. RAIRO Analyse Numérique, 15, 237-248, 1981.
    • (1981) RAIRO Analyse Numérique , vol.15 , pp. 237-248
    • Nitsche, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.