On a robust multigrid solver

DOI10.1007/BF02238516zbMath0857.65130OpenAlexW2143408365MaRDI QIDQ1913351

Yanyan Li

Publication date: 9 March 1997

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238516

zbMATH Keywords

convergencenumerical resultsrobustnessFourier analysisanisotropyconvection-diffusion equationsmultigrid solversSchur complement approximations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items

Residual scaling techniques in multigrid. II: Practical applications, An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates, Additive multilevel preconditioners based on bilinear interpolation, matrix-dependent geometric coarsening and algebraic multigrid coarsening for second-order elliptic PDEs, A robust algebraic multilevel preconditioner for non-symmetricM-matrices, The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations

Uses Software

• Wesseling

Cites Work

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• The hierarchical basis multigrid method
• The frequency decomposition multi-grid method. I: Application to anisotropic equations
• The frequency decomposition multi-grid method. II: Convergence analysis based on the additive Schwarz method
• Robustness of the additive and multiplicative frequency decomposition multi-level method
• Fourier analysis of a robust multigrid method for convection-diffusion equations
• Algebraic Multilevel Preconditioning Methods, II
• Computation of Constants in the Strengthened Cauchy Inequality for Elliptic Bilinear Forms with Anisotropy
• Iterative Methods by Space Decomposition and Subspace Correction
• Algebraic Multilevel Preconditioning of Anisotropic Elliptic Problems