Discretization of integro-differential equations modeling dynamic fractional order viscoelasticity
Paper i proceeding, 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.


Klas Adolfsson

Chalmers, Tillämpad mekanik, Dynamik

Mikael Enelund

Chalmers, Tillämpad mekanik, Dynamik

Stig Larsson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

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



Teknisk mekanik