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Erschienen in:
2017 | OriginalPaper | Buchkapitel
4. Higher Order Basis Functions
verfasst von : Jonathan Whiteley
Erschienen in: Finite Element Methods
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Abstract
We claimed, in Chap. 1, that the finite element method is a very flexible technique for calculating the numerical solution of differential equations. One justification for this claim is that the finite element method allows the solution of a differential equation to be approximated, on each element of the computational mesh, using a polynomial of any degree chosen by the user. The material presented in the earlier chapters of this book has focused entirely on finite element solutions that are linear approximations on each element. In this chapter, we extend this material to allow a general polynomial approximation on each element.