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20042022
most citedEfficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM

31 citations · 106 across the 9 of their papers we have counts for

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7 papers · 1 filter

math.NA2022★ 3 cited

A collocation IGA-BEM for 3D potential problems on unbounded domains

Antonella Falini, Carlotta Giannelli, Tadej Kanduc +2

In this paper the numerical solution of potential problems defined on 3D unbounded domains is addressed with Boundary Element Methods (BEMs), since in this way the problem is studi…

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.NA2021★ 30 cited

Isogemetric Analysis and Symmetric Galerkin BEM: a 2D numerical study

A. Aimi, M. Diligenti, M. L. Sampoli +1

Isogeometric approach applied to Boundary Element Methods is an emerging research area. In this context, the aim of the present contribution is that of investigating, from a numeri…

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★ 28 cited

An adaptive IGA-BEM with hierarchical B-splines based on quasi-interpolation quadrature schemes

Antonella Falini, Carlotta Giannelli, Tadej Kanduc +2

The isogeometric formulation of Boundary Element Method (BEM) is investigated within the adaptivity framework. Suitable weighted quadrature rules to evaluate integrals appearing in…