Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 249, Issue -, Pages 15-27Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.04.014
Keywords
Numerical integration; Isogeometric analysis; NURBS; B-splines
Funding
- GNCS project Tecniche di quadratura e strutture di raffinamento nell'analisi isogeometrica
- Office of Naval Research [N00014-08-0992]
- Army Research Office [W911NF-10-1-0216]
- SINTEF through the ICADA Project
- European Research Council [259229 ISOBIO, 205004 GeoPDEs]
- European Commission
- Italian MIUR through the FIRB Futuro in Ricerca Grant [RBFR08CZ0S]
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We develop new quadrature rules for isogeometric analysis based on the solution of a local nonlinear problem. A simple and robust algorithm is developed to determine the rules which are exact for important B-spline spaces of uniform and geometrically stretched knot spacings. We consider both periodic and open knot vector configurations and illustrate the efficiency of the rules on selected boundary value problems. We find that the rules are almost optimally efficient, but much easier to obtain than optimal rules, which require the solution of global nonlinear problems that are often ill-posed. (C) 2012 Elsevier B.V. All rights reserved.
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