Space-time Discretization of an Integro-differential Equation Modeling Quasi-static Fractional-order Viscoelasticity

DOI10.1177/1077546307087399zbMath1229.74126OpenAlexW2055160499WikidataQ59593887 ScholiaQ59593887MaRDI QIDQ3111036

Stig Larsson, Mikael Enelund, Klas Adolfsson

Publication date: 17 January 2012

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546307087399

zbMATH Keywords

finite elementadaptivityerror estimatea prioriweakly singular kerneldiscontinuous Galerkina posteriorisparse quadrature

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05)

Related Items

Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity, A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation, Optimal order finite element approximation for a hyperbolic integro-differential equation, Approximate Fourier series recursion for problems involving temporal fractional calculus, Efficient high order algorithms for fractional integrals and fractional differential equations, Existence and convergence of Galerkin approximation for second order hyperbolic equations with memory term

Cites Work

• Adaptive finite element methods in computational mechanics
• Numerical methods for hyperbolic and parabolic integro-differential equations
• Damping described by fading memory -- analysis and application to fractional derivative models
• Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel.
• Adaptive discretization of fractional order viscoelasticity using sparse time history
• A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Time Discretization of an Integro-Differential Equation of Parabolic Type