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[BOG][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 …
in the discretization of continuous problems, such as integral and differential equations. The …
Symbol-based analysis of finite element and isogeometric B-spline discretizations of eigenvalue problems: exposition and review
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 …
spectral analysis. We consider constant-and variable-coefficient, second-order eigenvalue …
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 …
as a generalization both of classical Toeplitz sequences and of variable coefficient …
Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case
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 …
linear system) arising from the numerical discretization of a partial differential equation …
[BOG][B] Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case
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), the …
linear system) arising from the numerical discretization of a differential equation (DE), the …
Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis
We consider the stiffness matrices arising from the Galerkin B-spline isogeometric analysis
discretization of classical elliptic problems. By exploiting their specific spectral properties …
discretization of classical elliptic problems. By exploiting their specific spectral properties …
Non‐Hermitian perturbations of Hermitian matrix‐sequences and applications to the spectral analysis of the numerical approximation of partial differential equations
This article concerns the spectral analysis of matrix‐sequences which can be written as a
non‐Hermitian perturbation of a given Hermitian matrix‐sequence. The main result reads as …
non‐Hermitian perturbation of a given Hermitian matrix‐sequence. The main result reads as …
U-splines: Splines over unstructured meshes
U-splines are a novel approach to the construction of a spline basis for representing smooth
objects in Computer-Aided Design (CAD) and Computer-Aided Engineering (CAE). A spline …
objects in Computer-Aided Design (CAD) and Computer-Aided Engineering (CAE). A spline …
[HTML][HTML] Block generalized locally Toeplitz sequences: from the theory to the applications
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 …
computing the asymptotic spectral distribution of matrices A n arising from virtually any kind …
Are the eigenvalues of the B‐spline isogeometric analysis approximation of −Δu = λu known in almost closed form?
We consider the B‐spline isogeometric analysis approximation of the Laplacian eigenvalue
problem− Δ u= λ u over the d‐dimensional hypercube (0, 1) d. By using tensor‐product …
problem− Δ u= λ u over the d‐dimensional hypercube (0, 1) d. By using tensor‐product …