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Mathematics of Computation

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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