On the numerical approximation of an evolution problem in nonlinear viscoelasticity

DOI10.1016/0045-7825(93)90169-XzbMath0783.73069OpenAlexW2024359754MaRDI QIDQ1309652

Donald A. French, Lars B. Wahlbin

Publication date: 2 January 1994

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

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90169-x

zbMATH Keywords

error analysisconvex potentialnonconvex double well potentialnumerical equilibrium solutions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Dynamical problems in solid mechanics (74Hxx)

Related Items (2)

Finite element approximation of an evolution problem modeling shear band formation ⋮ Energy minimization and the formation of microstructure in dynamic anti- plane shear

Cites Work

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• Continuous finite element methods which preserve energy properties for nonlinear problems
• Global regular solutions for the dynamic antiplane shear problem in nonlinear viscoelasticity
• Numerical study of a relaxed variational problem from optimal design
• Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
• Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
• Behaviour in the large of numerical solutions to one-dimensional nonlinear viscoelasticity by continuous time Galerkin methods
• Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations
• A nonconvex variational problem related to change of phase
• Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
• On the Convergence of Finite-Element Approximations of a Relaxed Variational Problem
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• A Galerkin Method for a Nonlinear Dirichlet Problem
• Product formulas and numerical algorithms

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