Memon, S. and Nataraj, N. and Pani, A. K. (2010) An a posteriori error analysis of a mixed finite element Galerkin approximation to second order linear parabolic problems. SIAM Journal of Numerical Analysis . (Submitted)
In this article, a posteriori error estimates are derived for a mixed finite element Galerkin approximation to second order linear parabolic initial and boundary value problems. Using mixed elliptic reconstruction method, a posteriori error estimates in and -norms with optimal order of convergence for the solution as well as its flux are proved for the semidiscrete scheme. Finally, based on backward Euler method, a completely discrete scheme is analyzed and a posteriori bounds are derived, which improves earlier results on a posteriori estimates for mixed parabolic problems.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||26 Oct 2010 10:21|
|Last Modified:||09 Feb 2012 15:58|
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