Goswami, Deepjyoti and Pani, A. K.
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)
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.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Kate Lewin|
|Deposited On:||01 Dec 2009 08:47|
|Last Modified:||29 May 2015 18:32|
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