Abstract
In this introductory chapter we shall study the standard Galerkin finite element method for the approximate solution of the model initial-boundary value problem for the heat equation,
where is a domain in R d with smooth boundary ∂Ω, and where u = u(x, t), u t denotes ∂u/∂t, and \( \Delta = \sum\nolimits_{j = 1}^d {\partial ^2 /\partial x_j^2 } \) the Laplacian.
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© 1997 Springer-Verlag Berlin Heidelberg
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Thomée, V. (1997). The Standard Galerkin Method. 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_1
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DOI: https://doi.org/10.1007/978-3-662-03359-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-03361-6
Online ISBN: 978-3-662-03359-3
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