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An explicit time integration algorithm for linear and non-linear finite element analyses of dynamic and wave problems

Engineering computations, 2018
Purpose The purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of structural dynamic and wave propagation problems. Design/methodology/approach The algorithm
Mi Zhao, Huifang Li, S. Cao, Xiu-li Du
semanticscholar   +1 more source

Explicit solutions to dynamic diffusion-type equations and their time integrals

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonín Slavík, Petr Stehlík
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Explicit variable step-size and time-reversible integration

Applied Numerical Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Holder, Thomas   +2 more
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Explicit time integration with enhanced stability for structural dynamics

Computers & Structures, 1988
A new nonlinear explicit method is proposed for structural dynamics. The method retains the computational efficiency of traditional explicit techniques, but possesses better stability properties. Both unpartitioned and partitioned forms of the algorithm are considered.
Belytschko, Ted, Engelmann, Bruce E.
openaire   +2 more sources

Explicit Bounds for Some Special Integral Inequalities on Time Scales

Results in Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Improving explicit time integration by modal truncation techniques

Earthquake Engineering & Structural Dynamics, 1998
This paper describes a modal weighting technique that improves the stability characteristics of explicit time-integration schemes used in structural dynamics. The central difference method was chosen as the trial algorithm because of its simplicity, both in terms of formulation and ease of numerical stability and convergence analysis.
Eugenio Gutiérrez   +1 more
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