[图书][B] Generalized locally Toeplitz sequences: theory and applications

C Garoni, S Serra-Capizzano - 2017 - Springer
Sequences of matrices with increasing size naturally arise in several contexts and especially
in the discretization of continuous problems, such as integral and differential equations. The …

Spectral analysis and structure preserving preconditioners for fractional diffusion equations

M Donatelli, M Mazza, S Serra-Capizzano - Journal of Computational …, 2016 - Elsevier
Fractional partial order diffusion equations are a generalization of classical partial
differential equations, used to model anomalous diffusion phenomena. When using the …

Robust and optimal multi-iterative techniques for IgA Galerkin linear systems

M Donatelli, C Garoni, C Manni… - Computer Methods in …, 2015 - Elsevier
We consider fast solvers for large linear systems arising from the Galerkin approximation
based on B-splines of classical d-dimensional elliptic problems, d≥ 1, in the context of …

The GLT class as a generalized Fourier analysis and applications

S Serra-Capizzano - Linear Algebra and its Applications, 2006 - Elsevier
Recently, the class of Generalized Locally Toeplitz (GLT) sequences has been introduced
as a generalization both of classical Toeplitz sequences and of variable coefficient …

Symbol-based analysis of finite element and isogeometric B-spline discretizations of eigenvalue problems: exposition and review

C Garoni, H Speleers, SE Ekström, A Reali… - … Methods in Engineering, 2019 - Springer
We present an example-based exposition and review of recent advances in symbol-based
spectral analysis. We consider constant-and variable-coefficient, second-order eigenvalue …

Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case

G Barbarino, C Garoni… - … on Numerical Analysis, 2020 - etna.ricam.oeaw.ac.at
In computational mathematics, when dealing with a large linear discrete problem (eg, a
linear system) arising from the numerical discretization of a partial differential equation …

Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case

G Barbarino, C Garoni… - … on Numerical Analysis, 2020 - etna.ricam.oeaw.ac.at
In computational mathematics, when dealing with a large linear discrete problem (eg, a
linear system) arising from the numerical discretization of a differential equation (DE) …

Spectral Analysis and Spectral Symbol of -variate Lagrangian FEM Stiffness Matrices

C Garoni, S Serra-Capizzano, D Sesana - SIAM Journal on Matrix Analysis …, 2015 - SIAM
We study the spectral properties of the stiffness matrices coming from the approximation of a
d-dimensional second order elliptic differential problem by the \mathbbQ_\boldsymbolp …

Robust and optimal multi-iterative techniques for IgA collocation linear systems

M Donatelli, C Garoni, C Manni… - Computer Methods in …, 2015 - Elsevier
We consider fast solvers for the large linear systems coming from the Isogeometric Analysis
(IgA) collocation approximation based on B-splines of full elliptic d-dimensional Partial …

Block generalized locally Toeplitz sequences: from the theory to the applications

C Garoni, M Mazza, S Serra-Capizzano - Axioms, 2018 - mdpi.com
The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for
computing the asymptotic spectral distribution of matrices A n arising from virtually any kind …