Cascadic multigrid methods combined with sixth order compact scheme for Poisson equation

DOI10.1007/s11075-015-0018-2zbMath1338.65266OpenAlexW949609917MaRDI QIDQ281461

Xiangzhao Cui, Ming Li, Chen-liang Li, Jin-e Zhao

Publication date: 11 May 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-0018-2

zbMATH Keywords

interpolationconvergencedifference schemeextrapolationPoisson equationnumerical experimentcascadic multigrid methodssixth order compact scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

An extrapolation accelerated multiscale Newton-MG method for fourth-order compact discretizations of semilinear Poisson equations ⋮ A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems ⋮ An Efficient EXCMG-Newton Method Combined with Fourth-Order Compact Schemes for Semilinear Poisson Equations ⋮ Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problems ⋮ On the convergence of an extrapolation cascadic multigrid method for elliptic problems ⋮ An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection-diffusion equations ⋮ An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains ⋮ Extrapolation multiscale multigrid method for solving 2D Poisson equation with sixth order compact scheme ⋮ Solving a Singularly Perturbed Elliptic Problem by a Multigrid Algorithm with Richardson Extrapolation

Cites Work

• Multigrid method and fourth-order compact scheme for 2D Poisson equation with unequal mesh-size discretization
• \(L^2\)-error of extrapolation cascadic multigrid (EXCMG)
• Asymptotic error expansion and Richardson extrapolation for linear finite elements
• Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method
• The cascadic multigrid method for elliptic problems
• A new cascadic multigrid
• Economical cascadic multigrid method (ECMG)
• Analysis of extrapolation cascadic multigrid method (EXCMG)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Cascadic multigrid methods combined with sixth order compact scheme for Poisson equation