A stabilized central difference scheme for dynamic analysis

DOI10.1002/nme.4869zbMath1352.65199OpenAlexW2125012052MaRDI QIDQ2952746

Georg Großeholz, Otto von Estorff, Delfim jun. Soares

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4869

zbMATH Keywords

unconditional stabilitydynamic analysisnonlinear iterationcentral differencestime marchingconstant average acceleration method

Mathematics Subject Classification ID

Ordinary differential equations and systems on manifolds (34C40) Finite difference and finite volume methods for ordinary differential equations (65L12) Approximation methods and numerical treatment of dynamical systems (37M99) Numerical problems in dynamical systems (65P99) Dynamical systems methods for problems in mechanics (70G60)

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Cites Work

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• Variational methods for selective mass scaling
• Increasing the critical time step: micro-inertia, inertia penalties and mass scaling
• Selective mass scaling for thin walled structures modeled with tri-linear solid elements
• Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
• A simple and effective new family of time marching procedures for dynamics
• Time discretized operators. I: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.
• Time discretized operators. II: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.
• Local and global strategies for optimal selective mass scaling
• An explicit family of time marching procedures with adaptive dissipation control
• Some general implicit processes for the numerical solution of differential equations
• A novel non-linearly explicit second-order accurate L-stable methodology for finite deformation: hypoelastic/hypoelasto-plastic structural dynamics problems
• Selective mass scaling for explicit finite element analyses