Abstract
The chapter provides an introduction to B-spline basis functions, their properties and refinement procedures. We examine various features that distinguish B-splines from the classical functions used in numerical simulations, i.e., Lagrange polynomials. The discussion of bivariate tensor product splines focuses on performing local refinement using (truncated) hierarchical B-spline techniques.
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Beer, G., Marussig, B., Duenser, C. (2020). Basis Functions, B-splines. In: The Isogeometric Boundary Element Method. Lecture Notes in Applied and Computational Mechanics, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-030-23339-6_3
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DOI: https://doi.org/10.1007/978-3-030-23339-6_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-23338-9
Online ISBN: 978-3-030-23339-6
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