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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...
We present a new isogeometric method for the discretization of the Reissner–Mindlin plate bending problem. The proposed scheme follows a recent theoretical framework that makes possible the construction of a space of smooth discrete deflections W h and a space of smooth discrete rotations Θ h such that the Kirchhoff constraint is exactly satisfied at the limit. Therefore we obtain...
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