Towards adaptive finite element schemes for partial differential Volterra equation solvers

DOI10.1007/BF02127710zbMath0870.65141OpenAlexW1994929327WikidataQ115392738 ScholiaQ115392738MaRDI QIDQ675713

Juan-Miguel Gracia

Publication date: 28 July 1997

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02127710

zbMATH Keywords

finite elementviscoelastic materialserror estimateadaptive solverspartial differential Volterra equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Dynamical problems in solid mechanics (74Hxx)

Related Items

Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh ⋮ Generalized solvability of parabolic integro-differential equations ⋮ Error estimates and adaptive finite element methods ⋮ Applications and numerical analysis of partial differential Volterra equations: A brief survey

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical methods for hyperbolic and parabolic integro-differential equations
• Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids
• Discontinuous Galerkin method with a posteriori \(L_ p(0,t_ i)\) error estimate for second-kind Volterra problems
• Numerical methods for integrodifferential equations of parabolic and hyperbolic types
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
• Time Discretization of an Integro-Differential Equation of Parabolic Type
• Finite element methods for parabolic and hyperbolic partial integro-differential equations
• Long-Time Numerical Solution of a Parabolic Equation with Memory
• Error Estimates with Sharp Constants for a Fading Memory Volterra Problem in Linear Solid Viscoelasticity
• On heat conduction in materials with memory