3 papers
math.NA2026
An algorithmic approach to direct spline products: procedures and computational aspects
Francesco Patrizi, Alessandra Sestini
We introduce an efficient algorithmic procedure for implementing the direct formula that represents the product of splines in the B-spline basis. We first demonstrate the relevance…
math.NA2025
A Smoothly Varying Quadrature Approach for 3D IgA-BEM Discretizations: Application to Stokes Flow Simulations
Cesare Bracco, Francesco Patrizi, Alessandra Sestini
We introduce a novel quadrature strategy for Isogeometric Analysis (IgA) boundary element discretizations, specifically tailored to collocation methods. Thanks to the dimensionalit…
math.NA2025
Decoupling solution and quadrature nodes in meshless Nyström methods for second-kind Fredholm integral equations
Bruno Degli Esposti, Alessandra Sestini
We introduce a meshless Nyström method for Fredholm integral equations of the second kind with smooth kernels in which the solution and quadrature nodes are chosen independently. M…