A study of the stability of subcycling algorithms in structural dynamics

DOI10.1016/S0045-7825(97)00140-0zbMath0967.70005OpenAlexW1997361400MaRDI QIDQ1971462

W. J. T. Daniel

Publication date: 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00140-0

zbMATH Keywords

stabilitystructural dynamicsconstraint equationBelytchko algorithmSmolinski-Sleith algorithmsubcycling algorithmssystem of two unequal masses and three springs

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Systems arising from the discretization of structural vibration problems (70J50)

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Cites Work

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• hp-version finite elements for the space-time domain
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Explicit multi-time step integration for first and second order finite element semidiscretizations
• Notes on the stability of non-rectangular space-time finite elements
• Explicit-explicit subcycling with non-integer time step ratios for structural dynamic systems
• Dynamic response of mechanical systems by a weak Hamiltonian formulation
• Multi-time-step integration using nodal partitioning
• Convergence of an element-partitioned subcycling algorithm for the semi-discrete heat equation
• The accuracy and stability of time domain finite element solutions
• Application of Triangular Space-Time Finite Elements to Problems of Wave Propagation
• Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations

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