Uniform convergence of multigrid methods for adaptive meshes

DOI10.1016/j.apnum.2016.11.005zbMath1355.65143OpenAlexW2555522850MaRDI QIDQ729990

Hui Zheng, Jin-biao Wu

Publication date: 23 December 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.11.005

zbMATH Keywords

algorithmconvergencenumerical examplefinite elementmultigrid methodadaptive meshes

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations ⋮ Interpolation operator on negative Sobolev spaces ⋮ Goal-oriented adaptive finite element methods with optimal computational complexity ⋮ Plain convergence of goal-oriented adaptive FEM ⋮ Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains ⋮ A meshless geometric multigrid method based on a node-coarsening algorithm for the linear finite element discretization ⋮ Uniform preconditioners of linear complexity for problems of negative order ⋮ Multilevel decompositions and norms for negative order Sobolev spaces

Uses Software

• iFEM

Cites Work

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