Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
Numerical Analysis
2015-01-20 v2
Abstract
An integro-differential equation, modeling dynamic fractional order viscoelasticity, with a Mittag-Leffler type convolution kernel is considered. A discontinuous Galerkin method, based on piecewise constant polynomials is formulated for temporal semidiscretization of the problem. Stability estimates of the discrete problem are proved, that are used to prove optimal order a priori error estimates. The theory is illustrated by a numerical example.
Keywords
Cite
@article{arxiv.1405.5405,
title = {Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity},
author = {Stig Larsson and Milena Racheva and Fardin Saedpanah},
journal= {arXiv preprint arXiv:1405.5405},
year = {2015}
}
Comments
16 pages, 2 figures