Local refinement techniques for elliptic problems on cell‐centered grids; II. Optimal order two‐grid iterative methods

DOI10.1002/nla.1680010403zbMath0840.65124OpenAlexW2062959297MaRDI QIDQ4868086

Panayot S. Vassilevski, Richard E. Ewing, Raytcho D. Lazarov

Publication date: 30 June 1996

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1680010403

zbMATH Keywords

convergence numerical experiments preconditioning difference equations finite difference schemes elliptic problems local refinement cell-centered grids two-grid iterative methods

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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

Operator splitting and adaptive mesh refinement for the Luo-Rudy I model ⋮ On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver ⋮ A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids ⋮ Application of domain decomposition techniques in large-scale fluid flow problems ⋮ Multigrid convergence for convection-diffusion problems on composite grids ⋮ Finite difference schemes for two-dimensional miscible displacement flow in porous media on composite triangular grids ⋮ Multidisciplinary interactions in energy and environmental modeling ⋮ Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners ⋮ An efficient implementation of certain iterative refinement preconditioners

Uses Software

CGS

This page was built for publication: Local refinement techniques for elliptic problems on cell‐centered grids; II. Optimal order two‐grid iterative methods