Antolin Sanchez, Pablo
Buffa, Annalisa
Calabrò, F.
Martinelli, M.
Sangalli, G.
Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorization
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
285
2015
2015
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. © 2014 Elsevier B.V.
0045-7825
Computer Methods in Applied Mechanics and Engineering
Journal Articles
10.1016/j.cma.2014.12.013