Abstract
In this chapter we briefly discuss some alternatives to the Galerkin methods considered above which use other inner products than that in L 2 (Ω) to formulate the discrete problem. For simplicity we shall content ourselves with describing the situation in the case of a simple selfadjoint parabolic equation in one space dimension, and only study spatially semidiscrete methods.
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© 1997 Springer-Verlag Berlin Heidelberg
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Thomée, V. (1997). The H 1 and H -1 Methods. In: Galerkin Finite Element Methods for Parabolic Problems. Springer Series in Computational Mathematics, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03359-3_16
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DOI: https://doi.org/10.1007/978-3-662-03359-3_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-03361-6
Online ISBN: 978-3-662-03359-3
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