ترجمه مقاله نقش ضروری ارتباطات 6G با چشم انداز صنعت 4.0
- مبلغ: ۸۶,۰۰۰ تومان
ترجمه مقاله پایداری توسعه شهری، تعدیل ساختار صنعتی و کارایی کاربری زمین
- مبلغ: ۹۱,۰۰۰ تومان
Abstract
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.
5. Summary and conclusions
We have considered the use of the sum-factorization for the calculation of the integrals arising in Galerkin isogeometric analysis. The minor changes needed in the actual coding in order to implement the proposed technique are presented in general and then detailed in the framework of the i g a t o o l s code. This modification leads to a saving in terms of computational cost that allows high degree computations. The proposed numerical tests confirm the advantage of the sum-factorization when compared to the standard technique.