Abstract
Chapter 11 has been devoted to a account of the finite element method, with the focus being on the basic ideas underlying the method, as well as a number of issues that arise in practice. The goal of this chapter is to take developments a step forward, and to provide a mathematical justification for the method. In other words, we return to the problem posed in Chapter 10, in the context of the Galerkin method: given a variational boundary value problem with solution u and approximate solution u h , estimate the error u − u h , and determine the rate of convergence of u h to u as h → 0. This problem is now addressed in the context of the finite element method.
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© 1998 Springer Science+Business Media New York
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Reddy, B.D. (1998). Analysis of the finite element method. In: Introductory Functional Analysis. Texts in Applied Mathematics, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0575-3_13
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DOI: https://doi.org/10.1007/978-1-4612-0575-3_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6824-6
Online ISBN: 978-1-4612-0575-3
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