Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorization

Antolin Sanchez, PabloBuffa, AnnalisaCalabrò, F.Martinelli, M.Sangalli, G.2017-04-032017-04-032017-04-03201510.1016/j.cma.2014.12.013https://infoscience.epfl.ch/handle/20.500.14299/136236In 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.Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorizationtext::journal::journal article::research article