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The Continuous Galerkin Method for Fractional Order Viscoelasticity

Fardin Saedpanah (Institutionen för matematiska vetenskaper)
Göteborg : Chalmers University of Technology, 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.

Denna post skapades 2007-11-21.
CPL Pubid: 62019


Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)


Tillämpad matematik

Chalmers infrastruktur


Datum: 2007-12-17
Tid: 10:15
Lokal: room Pascal, Department of Mathematical Sciences, Chalmers Tvargata 3, Chalmers University
Opponent: Docent Mikael Enelund

Ingår i serie

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