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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 7649
   School of Mathematics
  Title: Richardson extrapolations of Galerkin finite element methods for parabolic partial differential equations
  Author(s):
1 . W. Huang
2 . T. Liu
3 . M. Rao
4 . H. Azari
5 . Sh. Zhang
  Status: Published
  Journal: Dynam. Contin. Discrete Impuls. Systems
  Vol.: 11
  Year: 2004
  Pages: 653-664
  Supported by: IPM
  Abstract:
The object of this paper is to investigate Richardson extrapolation of two different schemes for finite element approximations of a linear parabolic partial differential equation with a homogeneous Dirichlet boundary conditions, which can lead significantly to the improvement in the accuracy of approximations with the help of an interpolation postprocessing technique. As a by-product, we illustrate that all the approximations of high accuracy can be used to generate a posteriori error estimators.

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