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Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 19971st edition Springer-Verlag Berlin Heidelberg 1997 Approxima

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Negative Norm Estimates and Superconvergence,ates. We shall exemplify this by showing how certain integrals of the solution of the parabolic problem, and, in one space dimension, the values of the solution at certain points may be calculated with high accuracy using the semidiscrete solution.
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Affirmation and Adolescent Bullying,re general elliptic operators than in the last chapter. For the purpose of including also application to maximum-norm estimates with respect to a spatial variable, which will be given at the end of the chapter, the analysis will take place in a Banach space framework.
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Affirmative Aesthetics and Wilful Womenthen apply our results to the spatially discrete equation. In view of the work in Chapter 7 for the homogeneous equation with given initial data, we restrict ourselves here to the case that the initial data vanish.
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