Discretization of integro-differential equations modeling dynamic fractional order viscoelasticity
Paper in proceedings, 2006

We study a dynamic model for viscoelastic materials based on a constitutive equation of fractional order. This results in an integro-differential equation with a weakly singular convolution kernel. We discretize in the spatial variable by a standard Galerkin finite element method. We prove stability and regularity estimates which show how the convolution term introduces dissipation into the equation of motion. These are then used to prove a priori error estimates. A numerical experiment is included.

Author

Klas Adolfsson

Dynamics

Mikael Enelund

Dynamics

Stig Larsson

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Milena Racheva

Lecture Notes in Computer Science, Springer, ''Proceedings of Large-Scale Scientific Computations, 2005, Sozopol, Bulgaria'', I. Lirkov, S. Margenov, and J. Wasniewski (Eds.)

Vol. 3743 76-83

Subject Categories

Mathematics

Applied Mechanics

ISBN

35-4031-994-8

More information

Created

10/7/2017