Numerical solutions for a class of differential equations in linear viscoelasticity

DOI10.1007/BF02576527zbMath0801.73065OpenAlexW1990103839MaRDI QIDQ1329359

Walter Allegretto, Yan Ping Lin

Publication date: 22 August 1994

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576527

zbMATH Keywords

error estimatespositive kernelhyperbolic integro-differential equationsmonotonic kernel

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite element methods applied to problems in solid mechanics (74S05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (4)

Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory ⋮ Unnamed Item ⋮ Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels ⋮ Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galerkin finite element methods for parabolic problems
• Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations
• Convolution quadrature and discretized operational calculus. I
• Galerkin methods for parabolic equations with nonlinear boundary conditions
• Discretized Fractional Calculus
• A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
• Galerkin Methods for Nonlinear Parabolic Integrodifferential Equations with Nonlinear Boundary Conditions
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
• Lax–Wendroff Methods for Hyperbolic History Value Problems
• A Numerical Method for a Partial Integro-Differential Equation
• Finite element methods for parabolic and hyperbolic partial integro-differential equations
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Semigroup Theory and Numerical Approximation for Equations in Linear Viscoelasticity

This page was built for publication: Numerical solutions for a class of differential equations in linear viscoelasticity