The Mathematical Institute, University of Oxford, Eprints Archive

Optimal L2-error estimates for the semidiscrete Galerkin
approximation to a second order linear parabolic initial and
boundary value problem with nonsmooth initial data

Goswami, Deepjyoti and Pani, A. K. (2009) Optimal L2-error estimates for the semidiscrete Galerkin
approximation to a second order linear parabolic initial and
boundary value problem with nonsmooth initial data.
Not Specified . (Submitted)

[img]
Preview
PDF
220Kb

Abstract

In this article, we have discussed a priori error estimate for the semidiscrete Galerkin approximation of a general second order parabolic initial and boundary value problem with non-smooth initial data. Our analysis is based on an elementary energy argument without resorting to parabolic duality technique. The proposed technique is also extended to a semidiscrete mixed method for parabolic problems. Optimal L2-error estimate is derived for both cases, when the initial data is in L2.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:857
Deposited By:Kate Lewin
Deposited On:01 Dec 2009 08:47
Last Modified:01 Dec 2009 08:47

Repository Staff Only: item control page