activity
20182024
most citedAn adaptive IGA-BEM with hierarchical B-splines based on quasi-interpolation quadrature schemes

28 citations · 45 across the 7 of their papers we have counts for

collaborators

7 papers

stat.ML2024

Empirical Density Estimation based on Spline Quasi-Interpolation with applications to Copulas clustering modeling

Cristiano Tamborrino, Antonella Falini, Francesca Mazzia

Density estimation is a fundamental technique employed in various fields to model and to understand the underlying distribution of data. The primary objective of density estimation…

math.NA2022★ 2 cited

The Object Oriented c++ library QIBSH++ for Hermite spline Quasi Interpolation

Enrico Bertolazzi, Antonella Falini, Francesca Mazzia

The library QIBSH++ is a C++ object oriented library for the solution of Quasi Interpolation problems. The library is based on a Hermite Quasi Interpolating operator, which was der…

math.NA2022

IgA-BEM for 3D Helmholtz problems on multi-patch domains using B-spline tailored numerical integration

Antonella Falini, Tadej Kanduc, Maria Lucia Sampoli +1

An Isogeometric Boundary Element Method (IgA-BEM) is considered for the numerical solution of Helmholtz problems on 3D bounded or unbounded domains, admitting a smooth conformal mu…

math.NA2022★ 3 cited

Construction of planar Hermite interpolants with prescribed arc lengths

Marjeta Knez, Francesca Pelosi, Maria Lucia Sampoli

In this paper we address the problem of constructing planar Pythagorean--hodograph (PH) spline curves, that interpolate points, tangent directions and curvatures, and have pr…

math.NA2020★ 3 cited

Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals

A. Falini, T. Kanduč, M. L. Sampoli +1

In this paper we present a new class of cubature rules with the aim of accurately integrating weakly singular double integrals. In particular we focus on those integrals coming fro…

math.NA2018★ 9 cited

A study on spline quasi-interpolation based quadrature rules for the isogeometric Galerkin BEM

Antonella Falini, Tadej Kanduc

Two recently introduced quadrature schemes for weakly singular integrals [Calabrò et al. J. Comput. Appl. Math. 2018] are investigated in the context of boundary integral equations…