A convolutional-iterative solver for nonlinear dynamical systems

DOI10.1016/J.AML.2022.107990OpenAlexW4293255227MaRDI QIDQ2135668

Martin Ostoja-Starzewski, A. Amiri-Hezaveh

Publication date: 9 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.107990

zbMATH Keywords

dynamicshigher accuracynonlinear solverconservation of energy \& momentaconvolution form

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Theory of constitutive functions in solid mechanics (74A20)

Related Items (2)

Nonlinear convolution finite element method for solution of large deformation elastodynamics ⋮ Convolution finite element method for analysis of piezoelectric materials

Cites Work

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• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
• Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
• Variational principles for linear elastodynamics
• Convolution finite element method: an alternative approach for time integration and time-marching algorithms
• Stability, convergence and growth and decay of energy of the average acceleration method in nonlinear structural dynamics
• Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
• On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. I: Low-order methods for two model problems and nonlinear elastodynamics
• A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics

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