Automated local Fourier analysis (aLFA)

DOI10.1007/s10543-019-00797-wzbMath1446.65194arXiv1811.01783OpenAlexW3003667217WikidataQ125998992 ScholiaQ125998992MaRDI QIDQ2192596

Karsten Kahl, Nils Kintscher

Publication date: 17 August 2020

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01783

zbMATH Keywords

iterative methodsmultigridlocal Fourier analysis

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators ⋮ Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis ⋮ A Generalized and Unified Framework of Local Fourier Analysis Using Matrix-Stencils

Uses Software

• PARI/GP
• LFA
• GitHub
• LFA Lab

Cites Work

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• Two-colour Fourier analysis of the multigrid method with red-black Gauss- Seidel smoothing
• The use of local mode analysis in the design and comparison of multigrid methods
• Local Fourier analysis for cell-centered multigrid methods on triangular grids
• Linear Elastic Waves
• On Three-Grid Fourier Analysis for Multigrid
• Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs
• Local Fourier Analysis for Edge-Based Discretizations on Triangular Grids
• Fourier Analysis of Multigrid Methods on Hexagonal Grids
• Fourier Analysis for Multigrid Methods on Triangular Grids
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Multigrid Method for Maxwell's Equations
• Rigorous Quantitative Analysis of Multigrid, I. Constant Coefficients Two-Level Cycle with $L_2 $-Norm
• Fourier Analysis of Periodic Stencils in Multigrid Methods
• Geometric Multigrid for the Tight-Binding Hamiltonian of Graphene
• Compact Fourier Analysis for Designing Multigrid Methods
• On the Validity of the Local Fourier Analysis
• Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms
• Local Fourier Analysis of Multigrid for the Curl-Curl Equation
• On Local Fourier Analysis of Multigrid Methods for PDEs with Jumping and Random Coefficients

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