27 citations · 69 across the 13 of their papers we have counts for
14 papers
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…
A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection
Cesare Bracco, Oleg Davydov, Carlotta Giannelli +1
We present a meshless finite difference method for multivariate scalar conservation laws that generates positive schemes satisfying a local maximum principle on irregular nodes and…
Local spline refinement driven by fault jump estimates for scattered data approximation
Cesare Bracco, Carlotta Giannelli, Francesco Patrizi +1
We present new fault jump estimates to guide local refinement in surface approximation schemes with adaptive spline constructions. The proposed approach is based on the idea that,…
Adaptive isogeometric phase-field modeling of the Cahn-Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries
Cesare Bracco, Carlotta Giannelli, Alessandro Reali +2
We present an adaptive scheme for isogeometric phase-field modeling, to perform suitably graded hierarchical refinement and coarsening on both single- and multi-patch geometries by…
Adaptive isogeometric methods with (truncated) hierarchical splines on planar multi-patch domains
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines for the numerical solution of high order partial differential equations. However, the ten…
THB-spline approximations for turbine blade design with local B-spline approximations
Cesare Bracco, Carlotta Giannelli, David Grossmann +3
We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial models. The first stage of the scheme…
BPX Preconditioners for Isogeometric Analysis Using (Truncated) Hierarchical B-splines
Cesare Bracco, Durkbin Cho, Carlotta Giannelli +1
We present the construction of additive multilevel preconditioners, also known as BPX preconditioners, for the solution of the linear system arising in isogeometric adaptive scheme…
Isogeometric analysis with hierarchical functions on planar two-patch geometries
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Adaptive isogeometric methods for the solution of partial differential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain t…
An application of numerical differentiation formulas to discontinuity curve detection from irregularly sampled data
Cesare Bracco, Oleg Davydov, Carlotta Giannelli +1
We present a method to detect discontinuity curves, usually called faults, from a set of scattered data. The scheme first extracts from the data set a subset of points close to the…
Adaptive scattered data fitting by extension of local approximations to hierarchical splines
Cesare Bracco, Carlotta Giannelli, Alessandra Sestini
We introduce an adaptive scattered data fitting scheme as extension of local least squares approximations to hierarchical spline spaces. To efficiently deal with non-trivial data c…
Bivariate hierarchical Hermite spline quasi--interpolation
Cesare Bracco, Carlotta Giannelli, Francesca Mazzia +1
Spline quasi-interpolation (QI) is a general and powerful approach for the construction of low cost and accurate approximations of a given function. In order to provide an efficien…
Bases of T-meshes and the refinement of hierarchical B-splines
Dmitry Berdinsky, Tae-wan Kim, Durkbin Cho +2
In this paper we consider spaces of bivariate splines of bi-degree (m, n) with maximal order of smoothness over domains associated to a two-dimensional grid. We define admissible c…
Spaces of generalized splines over T-meshes
Cesare Bracco, Fabio Roman
We consider a class of non-polynomial spline spaces over T-meshes, that is, of spaces locally spanned both by polynomial and by suitably-chosen non-polynomial functions, which we w…
Generalized T-splines and VMCR T-meshes
Cesare Bracco, Durkbin Cho
The paper considers the extension of the T-spline approach to the Generalized B-splines (GB-splines), a relevant class of non-polynomial splines. The Generalized T-splines (GT-spli…