Two-grid optimality for Galerkin linear systems based on B-splines
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Publication:1685050
DOI10.1007/s00791-015-0253-zzbMath1388.65176OpenAlexW2344135747MaRDI QIDQ1685050
Carla Manni, Hendrik Speleers, Carlo Garoni, Marco Donatelli, Stefano Serra Capizzano
Publication date: 13 December 2017
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-015-0253-z
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)
Related Items (5)
Special issue on multigrid methods ⋮ Asymptotic spectra of large (grid) graphs with a uniform local structure. II: Numerical applications ⋮ Multigrid preconditioners for anisotropic space-fractional diffusion equations ⋮ Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods ⋮ Spectral analysis and spectral symbol of matrices in isogeometric collocation methods
Cites Work
- Unnamed Item
- Unnamed Item
- On the spectrum of stiffness matrices arising from isogeometric analysis
- Multigrid methods for isogeometric discretization
- The GLT class as a generalized Fourier analysis and applications
- A \(V\)-cycle multigrid for multilevel matrix algebras: proof of optimality
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- On the rate of convergence of the preconditioned conjugate gradient method
- Multigrid methods for Toeplitz matrices
- Multi-iterative methods
- Robust and optimal multi-iterative techniques for Iga Galerkin linear systems
- Robust and optimal multi-iterative techniques for Iga collocation linear systems
- Convergence analysis of two-grid methods for elliptic Toeplitz and PDEs matrix-sequences
- 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
- Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis
- Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods
- An algebraic generalization of local Fourier analysis for grid transfer operators in multigrid based on Toeplitz matrices
- Isogeometric Analysis
- V-cycle Optimal Convergence for Certain (Multilevel) Structured Linear Systems
- Multigrid Methods for Symmetric Positive Definite Block Toeplitz Matrices with Nonnegative Generating Functions
- On the Asymptotic Spectrum of Finite Element Matrix Sequences
- A practical guide to splines.
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