The Continuous Galerkin Method for Fractional Order Viscoelasticity
Licentiatavhandling, 2007

We consider a fractional order integro-differential equation with a weakly singular convolution kernel. The equation with homogeneous Dirichlet boundary conditions is reformulated as an abstract Cauchy problem, and well-posedness is verified in the context of linear semigroup theory. Then we formulate a continuous Galerkin method for the problem, and we prove stability estimates. These are then used to prove a priori error estimates. The theory is illustrated by a numerical example.

room Pascal, Department of Mathematical Sciences, Chalmers Tvargata 3, Chalmers University
Opponent: Docent Mikael Enelund

Författare

Fardin Saedpanah

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Ämneskategorier

Beräkningsmatematik

Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University: 2007:37

room Pascal, Department of Mathematical Sciences, Chalmers Tvargata 3, Chalmers University

Opponent: Docent Mikael Enelund

Mer information

Skapat

2017-10-06