Numerical integration over 2D NURBS-shaped domains with applications to NURBS-enhanced FEM

This paper focuses on the numerical integration of polynomial functions along non-uniform rational B-splines (NURBS) curves and over 2D NURBS-shaped domains, i.e. domains with NURBS boundaries. The integration of the constant function f=1 is of special interest in computer aided design software and...

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Bibliographic Details
Published in:	Finite elements in analysis and design Vol. 47; no. 10; pp. 1209 - 1220
Main Authors:	Sevilla, Ruben, Fernández-Méndez, Sonia
Format:	Journal Article Publication
Language:	English
Published:	Amsterdam Elsevier B.V 01.10.2011 Elsevier
Subjects:	65 Numerical analysis 65Y Computer aspects of numerical algorithms 68 Computer science 68U Computing methodologies and applications Anàlisi numèrica Boundaries Classificació AMS Composite rule Computing Methodologies Exact sciences and technology Finite element method Gauss–Legendre Informàtica Matemàtica aplicada a les ciències Matemàtiques i estadística Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Numerical integration NURBS NURBS-enhanced finite element method Quadratures Sciences and techniques of general use Transformations Two dimensional Àrees temàtiques de la UPC NURBS-enhanced finite element method Numerical integration Gauss–Legendre Composite rule NURBS B spline Polynomial Spectral method Modeling Spline approximation Polynomial function Finite element method Quadrature Non uniform rational B spline Gauss-Legendre Computer aided design
ISSN:	0168-874X, 1872-6925
Online Access:	Get full text
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