Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems
DOI10.1007/s10444-024-10113-yarXiv2210.05289OpenAlexW4392370019MaRDI QIDQ6126533
Elena Zampieri, Luca F. Pavarino
Publication date: 9 April 2024
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.05289
condition numberspectral propertiescollocationacoustic wavesabsorbing boundary conditionsisogeometric analysisNewmark method
Computational methods for sparse matrices (65F50) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical computation of matrix norms, conditioning, scaling (65F35) Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Cites Work
- Unnamed Item
- Unnamed Item
- Isogeometric collocation for elastostatics and explicit dynamics
- On the spectrum of stiffness matrices arising from isogeometric analysis
- \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
- Non-reflecting boundary conditions
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Finite element analysis of acoustic scattering
- Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation
- Generalized Galerkin approximations of elastic waves with absorbing boundary conditions
- Explicit higher-order accurate isogeometric collocation methods for structural dynamics
- Explicit second order isogeometric discretizations for acoustic wave problems
- Easy and efficient preconditioning of the isogeometric mass matrix
- A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties
- Isogeometric collocation discretizations for acoustic wave problems
- On the existence of interpolating projections onto spline spaces
- The variational collocation method
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Isogeometric collocation for large deformation elasticity and frictional contact problems
- ISOGEOMETRIC COLLOCATION METHODS
- A further look at Newmark, Houbolt, etc., time-stepping formulae
- Radiation boundary conditions for acoustic and elastic wave calculations
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
- Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
- A practical guide to splines.
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