On the convergence of a cascadic multigrid method for semilinear elliptic problem

DOI10.1016/j.amc.2003.10.022zbMath1066.65149OpenAlexW2066939144MaRDI QIDQ702657

Hexing Hu, S. Z. Zhou

Publication date: 17 January 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.022

zbMATH Keywords

convergencesemilinear elliptic problemComputational complexitycascadic multigrid method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) 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) Complexity and performance of numerical algorithms (65Y20)

Related Items (9)

A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems ⋮ Error estimates of the lumped mass finite element method for semilinear elliptic problems ⋮ On the convergence of an extrapolation cascadic multigrid method for elliptic problems ⋮ A cascadic multigrid method for a kind of semilinear elliptic problem ⋮ Extrapolation cascadic multigrid method on piecewise uniform grid ⋮ Asymptotic expansions of finite element solutions to Robin problems in \(H^3\) and their application in extrapolation cascadic multigrid method ⋮ A type of cascadic multigrid method for coupled semilinear elliptic equations ⋮ Numerical solutions of Gelfand equation in steady combustion process ⋮ An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation

Cites Work

• A cascadic multigrid algorithm for the Stokes equations
• The cascadic multigrid method for elliptic problems
• Some estimates of the rate of convergence for the cascadic conjugate-gradient method
• A cascadic multigrid algorithm for semilinear elliptic problems
• A new cascadic multigrid
• Iterative Methods by Space Decomposition and Subspace Correction
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
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