An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains
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Publication:5155292
DOI10.4208/aamm.OA-2016-0019zbMath1488.65708OpenAlexW2770314305MaRDI QIDQ5155292
Dongdong He, Ke-jia Pan, Chuan-miao Chen
Publication date: 6 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2016-0019
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Extrapolation to the limit, deferred corrections (65B05)
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Cites Work
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- Cascadic multigrid methods combined with sixth order compact scheme for Poisson equation
- Extrapolation cascadic multigrid method on piecewise uniform grid
- A cascadic multigrid method for a kind of semilinear elliptic problem
- \(L^2\)-error of extrapolation cascadic multigrid (EXCMG)
- Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method
- Direct and inverse error estimates for finite elements with mesh refinements
- On finite element methods for elliptic equations on domains with corners
- A cascadic multigrid algorithm for the Stokes equations
- Extrapolation of numerical solutions for elliptic problems on corner domains
- The cascadic multigrid method for elliptic problems
- Some estimates of the rate of convergence for the cascadic conjugate-gradient method
- Multigrid methods for the computation of singular solutions and stress intensity factors. II: Crack singularities
- A new cascadic multigrid
- A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems
- On the convergence of an extrapolation cascadic multigrid method for elliptic problems
- Asymptotic expansions of finite element solutions to Robin problems in \(H^3\) and their application in extrapolation cascadic multigrid method
- On the use of singular functions with finite element approximations
- An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation
- Economical cascadic multigrid method (ECMG)
- A new parallel cascadic multigrid method
- Analysis of extrapolation cascadic multigrid method (EXCMG)
- Finite element method for domains with corners
- A Finite Element Method Using Singular Functions for the Poisson Equation: Corner Singularities
- Solution Methods for the Poisson Equation with Corner Singularities: Numerical Results
- On Extrapolation Cascadic Multigrid Method
- Time-Extrapolation Algorithm (TEA) for Linear Parabolic Problem
- Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 2, Refinements
- Overcoming Corner Singularities Using Multigrid Methods
- Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
- The convergence of the cascadic conjugate-gradient method applied to elliptic problems in domains with re-entrant corners
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