Iterative two-grid methods for semilinear elliptic equations

DOI10.1016/J.CAMWA.2020.04.004zbMath1446.65184OpenAlexW3021409815MaRDI QIDQ2197863

Ronghong Fan, Liuqiang Zhong, Wei-Feng Zhang

Publication date: 1 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.04.004

zbMATH Keywords

convergencesemilinear elliptic equationsiterative methodstwo-grid method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) 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) Semilinear elliptic equations (35J61)

Related Items (6)

Two-grid scheme of expanded mixed finite element method for semilinear parabolic integro-differential equations ⋮ A Hybrid Method for Three-Dimensional Semi-Linear Elliptic Equations ⋮ Iterative two-grid methods for discontinuous Galerkin finite element approximations of semilinear elliptic problem ⋮ A mixed element computing scheme for a semilinear fourth-order problem ⋮ A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation ⋮ Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem

Cites Work

• Unnamed Item
• Unnamed Item
• Two-level additive preconditioners for edge element discretizations of time-harmonic Maxwell equations
• On finite element approximation of general boundary value problems in nonlinear elasticity
• Two-Grid Methods for Maxwell Eigenvalue Problems
• Acceleration of a two-grid method for eigenvalue problems
• A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
• A two-grid discretization scheme for eigenvalue problems
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• Two‐grid methods for time‐harmonic Maxwell equations
• A two-grid stabilization method for solving the steady-state Navier-Stokes equations
• A multi-level correction scheme for eigenvalue problems
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

This page was built for publication: Iterative two-grid methods for semilinear elliptic equations