An efficient time-discontinuous Galerkin procedure for nonlinear structural dynamics

DOI10.1016/j.cma.2006.01.004zbMath1122.74024OpenAlexW2055975268MaRDI QIDQ2382829

Massimo Mancuso, Francesco Ubertini

Publication date: 4 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.cma.2006.01.004

zbMATH Keywords

iterative algorithmnumerical dissipationenergy-decaying algorithm

Mathematics Subject Classification ID

Related Items (6)

A methodology to control numerical dissipation characteristics of velocity based time discontinuous Galerkin space‐time finite element method ⋮ A procedure for the Galerkin method for a vibrating system ⋮ About the use of the HdHr algorithm group in integrating the movement equation with nonlinear terms ⋮ Time discontinuous Galerkin methods with energy decaying correction for non-linear elastodynamics ⋮ A computational strategy for poroelastic problems with a time interface between coupled physics ⋮ A coupled lattice Boltzmann-finite element approach for two-dimensional fluid-structure interaction

Cites Work

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• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• A general framework for interpreting time finite element formulations
• Spectral element methods for nonlinear spatio-temporal dynamics of an Euler-Bernoulli beam
• A comprehensive unified set of single-step algorithms with controllable dissipation for dynamics. I: Formulation. II: Algorithms and analysis
• An efficient integration procedure for linear dynamics based on a time discontinuous Galerkin formulation
• Iterative solutions for implicit time discontinuous Galerkin methods applied to nonlinear elastodynamics
• An improved predictor/multi-corrector algorithm for a time-discontinuous Galerkin finite element method in structural dynamics
• The Nørsett time integration methodology for finite element transient analysis
• Discontinuous Galerkin time discretization in elastoplasticity: Motivation, numerical algorithms, and applications
• A unified set of single-step asymptotic annihilation algorithms for structural dynamics
• Hybrid time-finite-elements with time-step-adaption by discontinuity control
• Implementation and adaptivity of a space-time finite element method for structural dynamics
• Formulation and analysis of variational methods for time integration of linear elastodynamics
• EXPLICIT PREDICTOR–MULTICORRECTOR TIME DISCONTINUOUS GALERKIN METHODS FOR NON-LINEAR DYNAMICS
• Time finite element methods for structural dynamics
• Computational schemes for non-linear elasto-dynamics
• STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD
• A discontinuous Galerkin finite element method for dynamic and wave propagation problems in non-linear solids and saturated porous media
• On the Accuracy of Discontinuous Galerkin Methods in the Time Domain
• Adaptive finite element procedures for linear and non-linear dynamics
• Spectral element methods for nonlinear temporal dynamical systems

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