71 citations · 286 across the 19 of their papers we have counts for
22 papers
Cahn-Hilliard phase-field modeling of tumor growth via locally adaptive isogeometric analysis with THB-splines
Dhiraj S. Bombarde, Carlotta Giannelli, Alessandro Reali +1
Predicting tumor dynamics in biological systems under physiologically relevant conditions using mathematical and computational models remains a challenging problem. Continuum model…
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…
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…