Are the eigenvalues of the B-spline isogeometric analysis approximation of − Δ u   =   λ u known in almost closed form?

A matrix-less and parallel interpolation–extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices

(2018) Sven-Erik Ekström et al.   NUMERICAL ALGORITHMS

Spectral distribution of PDE discretization matrices from isogeometric analysis: the case of $L^1$ coefficients and non-regular geometry

(2018) Carlo Garoni   Journal of Spectral Theory

Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?

(2017) Sven-Erik Ekström et al.   EXPERIMENTAL MATHEMATICS

Lusin theorem, GLT sequences and matrix computations: An application to the spectral analysis of PDE discretization matrices

(2017) Carlo Garoni et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?

(2017) Fayyaz Ahmad et al.   NUMERICAL ALGORITHMS

Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis

(2017) Marco Donatelli et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods

(2016) Carlo Garoni et al.   MATHEMATICS OF COMPUTATION

Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation

(2016) Giancarlo Sangalli et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

(2015) Marco Donatelli et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

(2015) Marco Donatelli et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols

(2015) J.M. Bogoya et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Spectral analysis and spectral symbol of matrices in isogeometric collocation methods

(2015) Marco Donatelli et al.   MATHEMATICS OF COMPUTATION

Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems

(2013) Thomas J.R. Hughes et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

On the spectrum of stiffness matrices arising from isogeometric analysis

(2013) Carlo Garoni et al.   NUMERISCHE MATHEMATIK

Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem

(2010) Hongtao Chen et al.   APPLIED NUMERICAL MATHEMATICS

Inside the eigenvalues of certain Hermitian Toeplitz band matrices

(2009) A. Böttcher et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS

(2008) T.J.R. Hughes et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods

(2007) Xiaobo Yin et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS