A5002153708- Advanced Numerical Analysis Techniques
- Polynomial and algebraic computation
- Iterative Methods for Nonlinear Equations
- Advanced Numerical Methods in Computational Mathematics
- Computational Geometry and Mesh Generation
- Advanced machining processes and optimization
- Tribology and Lubrication Engineering
- Advanced Measurement and Metrology Techniques
- Numerical methods in engineering
- Differential Equations and Numerical Methods
- 3D Shape Modeling and Analysis
- Computer Graphics and Visualization Techniques
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Image and Signal Denoising Methods
- Digital Filter Design and Implementation
- Robotic Mechanisms and Dynamics
- Monoclonal and Polyclonal Antibodies Research
- Numerical methods for differential equations
- Fractional Differential Equations Solutions
- Nonlinear Differential Equations Analysis
- Heat Transfer and Mathematical Modeling
- Mathematics and Applications
- Matrix Theory and Algorithms
- Digital Image Processing Techniques
- Numerical Methods and Algorithms
University of Rome Tor Vergata
2016-2025
Istituto Nazionale di Alta Matematica Francesco Severi
2007-2015
University of Turin
1999-2003
Collegio Carlo Alberto
2000-2001
University of Florence
1990-1997
Ricerca sul Sistema Energetico (Italy)
1991-1996
University of Pisa
1992
Liceo scientifico statale Ulisse Dini
1990-1991
We consider the stiffness matrices arising from Galerkin B-spline isogeometric analysis discretization of classical elliptic problems. By exploiting their specific spectral properties, compactly described by a symbol, we design an efficient multigrid method for fast solution related linear systems. The convergence rate general-purpose methods, based on stationary smoothers, is optimal (i.e., bounded independently matrix size), but it also worsens exponentially with respect to spline degree....
ABSTRACT We study the spectral behavior of (sequences of) matrices resulting from immersed isogeometric discretizations on trimmed geometries. They enjoy an asymptotic distribution, described by a (spectral) symbol, and we discuss some properties this symbol. In particular, show that structure symbol are completely analogous to untrimmed case when suitable natural restriction parametric domain is considered. This knowledge can be exploited identify potentially fast preconditioners for...
The construction of space curves with rational rotation- minimizing frames (RRMF curves) by the interpolation $G^1$ Hermite data, i.e., initial/final points $\mathbf {p}_i$ and {p}_{\!f}$ $(\mathbf {t}_i, \mathbf {u}_i,\mathbf {v}_i)$ {t}_{\!f},\mathbf {u}_{\!f},\mathbf {v}_{\!f})$, is addressed. Noting that RRMF quintics form a proper subset spatial Pythagorean–hodograph (PH) quintics, characterized vector constraint on their quaternion coefficients, $C^1$ PH quintic interpolants possess...
We consider a linear full elliptic second order partial differential equation in $d$-dimensional domain, $d\ge 1$, approximated by isogeometric collocation methods based on uniform (tensor-product) B-splines of degrees $\boldsymbol {p}:=(p_1,\ldots ,p_d)$, $p_j\ge 2$, $j=1,\ldots ,d$. give construction the inherently non-symmetric matrices arising from this approximation technique and we perform an analysis their spectral properties. In particular, find study associated (spectral) symbol,...
In this paper, we provide a priori error estimates in standard Sobolev (semi-)norms for approximation spline spaces of maximal smoothness on arbitrary grids. The are expressed terms power the grid spacing, an appropriate derivative function to be approximated, and explicit constant which is, many cases, sharp. Some these also hold proper subspaces, additionally enjoy inverse inequalities. Furthermore, address eigenfunctions large class differential operators, with particular focus special...
In this paper we describe an adaptive refinement strategy for LR B-splines. The presented ensures, at each iteration, local linear independence of the obtained set This property is then exploited in two applications: construction efficient quasi-interpolation schemes and numerical solution elliptic problems using isogeometric Galerkin method.