Abstract
This chapter presents important examples of finite elements, first in dimension one, then in multiple dimensions using tensor-product techniques. Important computational issues related to the manipulation of high-order polynomial bases are addressed. We also show how to approximate integrals over intervals using the roots of the Legendre and Jacobi polynomials.
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Ern, A., Guermond, JL. (2021). One-dimensional finite elements and tensorization. In: Finite Elements I. Texts in Applied Mathematics, vol 72. Springer, Cham. https://doi.org/10.1007/978-3-030-56341-7_6
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DOI: https://doi.org/10.1007/978-3-030-56341-7_6
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-56340-0
Online ISBN: 978-3-030-56341-7
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