Negative norm estimates and superconvergence in Galerkin methods for parabolic problems

@article{Thome1980NegativeNE,
  title={Negative norm estimates and superconvergence in Galerkin methods for parabolic problems},
  author={Vidar Thom{\'e}e},
  journal={Mathematics of Computation},
  year={1980},
  volume={34},
  pages={93-113}
}
  • V. Thomée
  • Published 1980
  • Mathematics
  • Mathematics of Computation
Negative norm error estimates for semidiscrete Galerkin-finite element methods for parabolic problems are derived from known such estimates for elliptic problems and applied to prove superconvergence of certain procedures for evaluating point values of the exact solution and its derivatives. Our first purpose in this paper is to show how known negative norm error estimates for Galerkin-finite element type methods applied to the Dirichlet problem for second order elliptic equations can be… 

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