The Mathematical Institute, University of Oxford, Eprints Archive

Optimal L2 estimates for semidiscrete Galerkin methods for
parabolic integro-differential equations with nonsmooth data

Goswami, Deepjyoti and Pani, A. K. and Yadav, S (2009) Optimal L2 estimates for semidiscrete Galerkin methods for
parabolic integro-differential equations with nonsmooth data.
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Abstract

In this article, we discuss an alternate approach to a priori error estimates for the semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth initial data. It is based on energy arguments and on a repeated use of time integration, but without using parabolic type duality technique. Optimal L2-error estimate is derived for the semidiscrete approximation, when the initial data is in L2.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:858
Deposited By:Kate Lewin
Deposited On:01 Dec 2009 08:47
Last Modified:01 Dec 2009 08:47

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