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Volumn 69, Issue 13, 2007, Pages 2780-2788

Estimating the critical time-step in explicit dynamics using the Lanczos method

Author keywords

Critical time step; Eigenvalues; Explicit dynamics; Lanczos iteration

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; NUMERICAL METHODS;

EID: 33947615770     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1865     Document Type: Article
Times cited : (8)

References (8)
  • 1
    • 0021386943 scopus 로고
    • Eigenvalues and stable time steps for the uniform strain hexahedron and quadrilateral
    • (ASME)
    • Flanagan DP, Belytschko T. Eigenvalues and stable time steps for the uniform strain hexahedron and quadrilateral. Journal of Applied Mechanics (ASME) 1984; 51:35-40.
    • (1984) Journal of Applied Mechanics , vol.51 , pp. 35-40
    • Flanagan, D.P.1    Belytschko, T.2
  • 2
    • 0000094594 scopus 로고
    • An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
    • Research Paper 2133
    • Lanczos C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. Journal of Research of the National Bureau of Standards 1950; 45:255-282. Research Paper 2133.
    • (1950) Journal of Research of the National Bureau of Standards , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 4
    • 0003668665 scopus 로고    scopus 로고
    • Classic in Applied Mathematics, SIAM, Reprint of 'The symmetric eigenvalue problem', Prentice-Hall, 1980
    • Parlett BN. The Symmetric Eigenvalue Problem. Classic in Applied Mathematics, vol. 20. SIAM, 1998. Reprint of 'The symmetric eigenvalue problem', Prentice-Hall, 1980.
    • (1998) The Symmetric Eigenvalue Problem , vol.20
    • Parlett, B.N.1
  • 6
    • 0038935236 scopus 로고
    • Applications of a theorem on eigenvalues to finite element problems
    • Technical Report CR/132/70. Department of Civil Engineering, University of Wales, Swansea, U.K
    • Irons BM. Applications of a theorem on eigenvalues to finite element problems. Technical Report CR/132/70, Department of Civil Engineering, University of Wales, Swansea, U.K., 1970.
    • (1970)
    • Irons, B.M.1
  • 7
    • 0004508233 scopus 로고    scopus 로고
    • The Lanczos algorithm for solution of large generalized eigenproblems
    • In Hughes TJR (ed.), Dover, Reprint of material that originally appeared in 'The Finite Element Method'. Prentice-Hall, 1987, by Thomas J.R. Hughes
    • Nour-Omid B. The Lanczos algorithm for solution of large generalized eigenproblems. In The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Hughes TJR (ed.), Dover, 2000; 582-600. Reprint of material that originally appeared in 'The Finite Element Method'. Prentice-Hall, 1987, by Thomas J.R. Hughes.
    • (2000) The Finite Element Method: Linear Static and Dynamic Finite Element Analysis , pp. 582-600
    • Nour-Omid, B.1
  • 8
    • 19544393136 scopus 로고    scopus 로고
    • Technical Report SAND2003-1089. Sandia National Laboratories, Albuquerque, NM, April
    • Koteras JR, Gullerud AS. Presto user's guide version 1.05. Technical Report SAND2003-1089, Sandia National Laboratories, Albuquerque, NM, April 2003.
    • (2003) Presto User's Guide Version 1.05
    • Koteras, J.R.1    Gullerud, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.