메뉴 건너뛰기




Volumn 151, Issue 3-4, 1998, Pages 311-324

Stability of explicit subcycling time integration with linear interpolation for first-order finite element semidiscretizations

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTEGRATION; INTERPOLATION;

EID: 0031672439     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00154-0     Document Type: Article
Times cited : (16)

References (19)
  • 1
    • 0039527819 scopus 로고
    • Explicit integration of structural problems
    • P. Bergen et al., eds.
    • T. Belytschko and R. Mullen, Explicit integration of structural problems, in: P. Bergen et al., eds., Finite Elements in Nonlinear Mechanics, Vol. 2 (1977) 697-720.
    • (1977) Finite Elements in Nonlinear Mechanics , vol.2 , pp. 697-720
    • Belytschko, T.1    Mullen, R.2
  • 3
    • 0024874070 scopus 로고
    • Explicit-explicit subcycling with non-integer time step ratios for structural dynamics systems
    • M.O. Neal and T. Belytschko, Explicit-explicit subcycling with non-integer time step ratios for structural dynamics systems, Comput. Struct. 31(6) (1989) 871-880.
    • (1989) Comput. Struct. , vol.31 , Issue.6 , pp. 871-880
    • Neal, M.O.1    Belytschko, T.2
  • 4
    • 0018105986 scopus 로고
    • Stability of explicit-implicit mesh partitions in time integration
    • T. Belytschko and R. Mullen, Stability of explicit-implicit mesh partitions in time integration. Int. J. Numer. Methods Engrg. 12 (1978) 1575-1586.
    • (1978) Int. J. Numer. Methods Engrg. , vol.12 , pp. 1575-1586
    • Belytschko, T.1    Mullen, R.2
  • 5
    • 0017983276 scopus 로고
    • Implicit-explicit finite elements in transient analysis: Stability theory
    • T.J.R. Hughes and W.K. Liu, Implicit-explicit finite elements in transient analysis: Stability theory, J. Appl. Mech. 45 (1978) 371-374.
    • (1978) J. Appl. Mech. , vol.45 , pp. 371-374
    • Hughes, T.J.R.1    Liu, W.K.2
  • 6
    • 0019026096 scopus 로고
    • Partitioned transient analysis procedure for coupled field problems: Stability analysis
    • K.C. Park, Partitioned transient analysis procedure for coupled field problems: Stability analysis, J. Appl. Mech. 47 (1980) 370-376.
    • (1980) J. Appl. Mech. , vol.47 , pp. 370-376
    • Park, K.C.1
  • 7
    • 0022076735 scopus 로고
    • Stability of multi-time partitioned integrators for first-order finite element systems
    • T. Belytschko, P. Smolinski and W.K. Liu, Stability of multi-time partitioned integrators for first-order finite element systems, Comput. Methods Appl. Mech. Engrg. 49(3) (1985) 281-297.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.49 , Issue.3 , pp. 281-297
    • Belytschko, T.1    Smolinski, P.2    Liu, W.K.3
  • 8
    • 0030192828 scopus 로고    scopus 로고
    • Stability of an explicit multi-time integration algorithm for linear structural dynamics equations
    • P. Smolinski, S. Sleith and T. Belytschko, Stability of an explicit multi-time integration algorithm for linear structural dynamics equations, Comput. Mech. 18(3) (1996) 236-244.
    • (1996) Comput. Mech. , vol.18 , Issue.3 , pp. 236-244
    • Smolinski, P.1    Sleith, S.2    Belytschko, T.3
  • 9
    • 0022808404 scopus 로고
    • Variable explicit finite element methods for unsteady heat conduction
    • A. Mizukami, Variable explicit finite element methods for unsteady heat conduction, Comput. Methods Appl. Mech. Engrg. 59 (1986) 101-109.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , pp. 101-109
    • Mizukami, A.1
  • 10
    • 0024014221 scopus 로고
    • Nodal partition of explicit finite element methods for unsteady diffusion problems
    • J. Donea and H. Laval, Nodal partition of explicit finite element methods for unsteady diffusion problems, Comput. Methods Appl. Mech. Engrg. 68 (1988) 189-204.
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.68 , pp. 189-204
    • Donea, J.1    Laval, H.2
  • 11
    • 0026389493 scopus 로고
    • Stability of variable explicit time integration for unsteady diffusion problems
    • P. Smolinski, Stability of variable explicit time integration for unsteady diffusion problems, Comput. Methods Appl. Mech. Engrg. 93 (1991) 247-252.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.93 , pp. 247-252
    • Smolinski, P.1
  • 12
    • 0027666891 scopus 로고
    • Explicit multi-time step integration for first and second order finite element semidiscretizations
    • T. Belytschko and Y.Y Lu, Explicit multi-time step integration for first and second order finite element semidiscretizations, Comput. Methods Appl. Mech. Engrg. 108 (1993) 353-383.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.108 , pp. 353-383
    • Belytschko, T.1    Lu, Y.Y.2
  • 13
    • 0027222443 scopus 로고
    • Convergence and stability analysis of multi-time step algorithm for parabolic systems
    • T. Belytschko and Y.Y Lu, Convergence and stability analysis of multi-time step algorithm for parabolic systems, Comput. Methods Appl. Mech. Engrg. 102 (1993) 179-198.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.102 , pp. 179-198
    • Belytschko, T.1    Lu, Y.Y.2
  • 14
    • 84985385958 scopus 로고
    • Convergence of an element-partition subcycling algorithm for the semi-discrete heat equation
    • T.J.R. Hughes, T. Belytschko and W.K. Liu, Convergence of an element-partition subcycling algorithm for the semi-discrete heat equation, Numer. Methods Partial Diff. Eqns. 3 (1987) 131-137.
    • (1987) Numer. Methods Partial Diff. Eqns. , vol.3 , pp. 131-137
    • Hughes, T.J.R.1    Belytschko, T.2    Liu, W.K.3
  • 16
    • 0019678256 scopus 로고
    • Simultaneous relaxation in structural dynamics
    • D. Flanagan and T. Belytschko, Simultaneous relaxation in structural dynamics, ASCE J. Engrg. Mech. Div. 107 (1981) 1039-1055.
    • (1981) ASCE J. Engrg. Mech. Div. , vol.107 , pp. 1039-1055
    • Flanagan, D.1    Belytschko, T.2
  • 19
    • 0041795963 scopus 로고    scopus 로고
    • A study of subcycling algorithms in structural dynamics
    • in review
    • W. Daniel, A study of subcycling algorithms in structural dynamics, Comput. Methods Appl. Mech. Engrg, in review.
    • Comput. Methods Appl. Mech. Engrg
    • Daniel, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.