28 citations · 85 across the 9 of their papers we have counts for
9 papers
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…
Isoparametric singularity extraction technique for 3D potential problems in BEM
Tadej Kanduc
To solve boundary integral equations for potential problems using collocation Boundary Element Method (BEM) on smooth curved 3D geometries, an analytical singularity extraction tec…
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…
Weighted quadrature for hierarchical B-splines
Carlotta Giannelli, Tadej Kanduc, Massimiliano Martinelli +2
We present weighted quadrature for hierarchical B-splines to address the fast formation of system matrices arising from adaptive isogeometric Galerkin methods with suitably graded…
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…
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…