Uniformly convergent multigrid methods for convection--diffusion problems without any constraint on coarse grids

DOI10.1023/A:1027378015262zbMath1039.65090OpenAlexW245485844MaRDI QIDQ1424939

Hwanho Kim, Ludmil T. Zikatanov, Jin-Chao Xu

Publication date: 15 March 2004

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1027378015262

zbMATH Keywords

algorithmsconvergencenumerical examplespreconditioningmultigrid methodGMRESGalerkin finite element discretizationconvection-diffusion equationsgeneralized minimal residual methodnormal equationmonotone finite element schemeEAFE schemenonsymmetric and indefinite problemsV-cycle iteration

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) Numerical computation of matrix norms, conditioning, scaling (65F35)

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