Abstract
In this chapter we consider the approximation of solutions of the model heat equation in two space dimensions by means of Galerkin’s method, using piecewise linear trial functions. In Sect. 10.1 we consider the discretization with respect to the space variables only, and in the following Sect. 10.2 we study some completely discrete schemes.
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© 2009 Springer-Verlag Berlin Heidelberg
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(2009). The Finite Element Method for a Parabolic Problem. In: Partial Differential Equations with Numerical Methods. Texts in Applied Mathematics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88706-5_10
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DOI: https://doi.org/10.1007/978-3-540-88706-5_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88705-8
Online ISBN: 978-3-540-88706-5
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