Spectral analysis of finite-dimensional approximations of \(1d\) waves in non-uniform grids
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Publication:1616139
DOI10.1007/s10092-018-0288-xzbMath1448.65216OpenAlexW2898112668WikidataQ129076740 ScholiaQ129076740MaRDI QIDQ1616139
Davide Bianchi, Stefano Serra Capizzano
Publication date: 31 October 2018
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-018-0288-x
wave equationspectral gapnonuniform gridsfinite-differencesisogeometric analysisfinite-elementsboundary control and observationvelocity of propagationspectral symbolweakly regular grids
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
- Wave propagation and reflection in irregular grids for hyperbolic equations
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- The GLT class as a generalized Fourier analysis and applications
- Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach
- Locally Toeplitz sequences: Spectral properties and applications
- Analysis of preconditioning strategies for collocation linear systems
- Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
- Spectral and structural analysis of high precision finite difference matrices for elliptic operators
- Tools for determining the asymptotic spectral distribution of non-Hermitian perturbations of Hermitian matrix-sequences and applications
- Block generalized locally Toeplitz sequences: from the theory to the applications
- C. G. preconditioning for Toeplitz matrices
- On the null controllability of the one-dimensional heat equation with BV coefficients
- Some trigonometrical inequalities with applications to the theory of series
- Spectral analysis and spectral symbol of matrices in isogeometric collocation methods
- Singular-value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators
- Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods
- Generalized Locally Toeplitz Sequences: Theory and Applications
- A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
- Boundary observability for the space semi-discretizations of the 1 – d wave equation
- Wigner Measures in the Discrete Setting: High-Frequency Analysis of Sampling and Reconstruction Operators
- Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis
- On the Quadratic Finite Element Approximation of One-Dimensional Waves: Propagation, Observation, and Control
- A note on the spectral distribution of toeplitz matrices
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
- On the Asymptotic Spectrum of Finite Element Matrix Sequences
- Spectral Analysis and Spectral Symbol of $d$-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices
