A Generalized and Unified Framework of Local Fourier Analysis Using Matrix-Stencils
DOI10.1137/20M1355008zbMath1481.65256OpenAlexW3178355807MaRDI QIDQ5006446
Publication date: 16 August 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1355008
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) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06)
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- On a local Fourier analysis for overlapping block smoothers on triangular grids
- Optimization of the multigrid-convergence rate on semi-structured meshes by local Fourier analysis
- Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system
- Automated local Fourier analysis (aLFA)
- Local Fourier analysis for cell-centered multigrid methods on triangular grids
- Local Fourier Analysis of Space-Time Relaxation and Multigrid Schemes
- A Simple and Efficient Segregated Smoother for the Discrete Stokes Equations
- Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs
- Multigrid finite element methods on semi-structured triangular grids for planar elasticity
- Two‐level Fourier analysis of multigrid for higher‐order finite‐element discretizations of the Laplacian
- Local Fourier Analysis for Edge-Based Discretizations on Triangular Grids
- A generalized predictive analysis tool for multigrid methods
- Fourier Analysis of Multigrid Methods on Hexagonal Grids
- Fourier Analysis for Multigrid Methods on Triangular Grids
- Two-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretization
- Fourier Analysis of Periodic Stencils in Multigrid Methods
- A local Fourier analysis of additive Vanka relaxation for the Stokes equations
- Independence of placement for local Fourier analysis
- Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms
- Local Fourier Analysis of Multigrid for the Curl-Curl Equation
- Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System
- On Local Fourier Analysis of Multigrid Methods for PDEs with Jumping and Random Coefficients
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