Negative norm estimates and superconvergence in Galerkin methods for parabolic problems

Author:
Vidar Thomée

Journal:
Math. Comp. **34** (1980), 93-113

MSC:
Primary 65N15; Secondary 65N30

DOI:
https://doi.org/10.1090/S0025-5718-1980-0551292-5

MathSciNet review:
551292

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Abstract: 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.

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DOI:
https://doi.org/10.1090/S0025-5718-1980-0551292-5

Article copyright:
© Copyright 1980
American Mathematical Society