A5010023775- Advanced Numerical Analysis Techniques
- Polynomial and algebraic computation
- Advanced Numerical Methods in Computational Mathematics
- Iterative Methods for Nonlinear Equations
- Numerical methods in engineering
- Advanced machining processes and optimization
- Computational Geometry and Mesh Generation
- Advanced Measurement and Metrology Techniques
- 3D Shape Modeling and Analysis
- Tribology and Lubrication Engineering
- Differential Equations and Numerical Methods
- Computer Graphics and Visualization Techniques
- Digital Filter Design and Implementation
- Image and Signal Denoising Methods
- Image and Object Detection Techniques
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Tensor decomposition and applications
- Matrix Theory and Algorithms
- Nonlinear Differential Equations Analysis
- Model Reduction and Neural Networks
- Numerical methods for differential equations
- Advanced Vision and Imaging
- Statistical and numerical algorithms
- Advanced Optimization Algorithms Research
- Monoclonal and Polyclonal Antibodies Research
University of Rome Tor Vergata
2016-2025
KU Leuven
2007-2017
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....
We study a reformulated version of Reissner–Mindlin plate theory in which rotation variables are eliminated favor transverse shear strains. Upon discretization, this has the advantage that "shear locking" phenomenon is completely precluded, independent basis functions used for displacement and Any combination works, but due to appearance second derivatives strain energy expression, smooth required. These provided by Isogeometric Analysis, particular, NURBS various degrees quadratic...
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...
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...