An Efficient Newton Multiscale Multigrid Method for 2D Semilinear Poisson Equations

DOI10.4208/eajam.090120.260320zbMath1468.65219OpenAlexW3034853420MaRDI QIDQ4986619

Xiaoqiang Yue, Ming Li, Ke-jia Pan, Zhou-shun Zheng

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.090120.260320

zbMATH Keywords

Newton's methodRichardson extrapolationsemilinear Poisson equationsixth-order accuracymultiscale multigrid

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) PDEs in connection with optics and electromagnetic theory (35Q60) Extrapolation to the limit, deferred corrections (65B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Semilinear elliptic equations (35J61) Boltzmann equations (35Q20)

Related Items (3)

An efficient extrapolation full multigrid method for elliptic problems in two and three dimensions ⋮ An extrapolation accelerated multiscale Newton-MG method for fourth-order compact discretizations of semilinear Poisson equations ⋮ An Efficient EXCMG-Newton Method Combined with Fourth-Order Compact Schemes for Semilinear Poisson Equations

Cites Work

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• A Shifted-Inverse Adaptive Multigrid Method for the Elastic Eigenvalue Problem

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