Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 285, Issue -, Pages 817-828Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.12.013
Keywords
Numerical integration; Isogeometric analysis; Splines; NURBS; Sum-factorization
Funding
- GNCS project Dall'Approssimazione all'Algebra Lineare: metodi numerici per l'Analisi Isogeometrica
- Italian MIUR through the FIRB Futuro in Ricerca [RBFR08CZ0S]
- Italian MIUR through the PRIN Metodologie Innovative Nella Modellistica Differenziale Numerica Grant
- European Research Council through the FP7 Ideas Starting Grant GeoPDEs [205004]
- European Research Council through Consolidator Grant HIgeoM [616563]
- European Commission through the FP7 Factories of the Future project TERRIFIC [FP7-2011-NMP-ICT-FoF 284981]
- FP7 Ideas Starting Grant ISOBIO [259229]
- European Research Council (ERC) [616563] Funding Source: European Research Council (ERC)
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In this paper we discuss the use of the sum-factorization for the calculation of the integrals arising in Galerkin isogeometric analysis. While introducing very little change in an isogeometric code based on element-by-element quadrature and assembling, the sum-factorization approach, taking advantage of the tensor-product structure of splines or NURBS shape functions, significantly reduces the quadrature computational cost. (c) 2014 Elsevier B.V. All rights reserved.
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