Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems

DOI10.1016/S0377-0427(00)00477-5zbMath0990.74071OpenAlexW1992147403MaRDI QIDQ1841965

Yanyan Li

Publication date: 15 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00477-5

zbMATH Keywords

viscoelasticityVolterra equationadaptive space-time finite element method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05) Volterra integral equations (45D05)

Related Items (11)

Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method ⋮ On a reliable solution of a Volterra integral equation in a Hilbert space. ⋮ Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains ⋮ Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation ⋮ Diffusion, viscoelasticity and erosion: analytical study and medical applications ⋮ An efficient numerical method for a class of nonlinear Volterra integro-differential equations ⋮ Well posedness of a linearized fractional derivative fluid model ⋮ Approximating thermo-viscoelastic heating of largely strained solid rubber components ⋮ Adaptive collocation methods for Volterra integral and integro-differential equations ⋮ Piecewise Legendre spectral-collocation method for Volterra integro-differential equations ⋮ A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive finite element methods in computational mechanics
• Space-time finite element methods for second-order hyperbolic equations
• Applications and numerical analysis of partial differential Volterra equations: A brief survey
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Discontinuous Galerkin method with a posteriori \(L_ p(0,t_ i)\) error estimate for second-kind Volterra problems
• Negative norm error control for second-kind convolution Volterra equations
• A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Non-linear viscoelasticity based on free volume consideration
• Long-Time Numerical Solution of a Parabolic Equation with Memory
• Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems
• Shock Formation in a Multidimensional Viscoelastic Diffusive System

This page was built for publication: Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems