Convergence analysis of V-Cycle multigrid methods for anisotropic elliptic equations

DOI10.1093/imanum/drr043zbMath1258.65093OpenAlexW2012633097MaRDI QIDQ4649626

Xiaoping Xie, YongKe Wu, Long Chen, Jin-Chao Xu

Publication date: 12 November 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr043

zbMATH Keywords

convergencesecond-order elliptic equationsanisotropic equationbilinear finite element\(V\)-cycle multigrid methodXu-Zikatanov identity

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)

Related Items (6)

Convergence estimates for multigrid algorithms with SSC smoothers and applications to overlapping domain decomposition ⋮ Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids ⋮ A fast solver for generalized optimal transport problems based on dynamical system and algebraic multigrid ⋮ An efficient high-order numerical solver for diffusion equations with strong anisotropy ⋮ Multilevel methods for nonuniformly elliptic operators and fractional diffusion ⋮ A two-level algorithm for the weak Galerkin discretization of diffusion problems

This page was built for publication: Convergence analysis of V-Cycle multigrid methods for anisotropic elliptic equations