Optimal injection operator and high order schemes for multigrid solution of 3D poisson equation

DOI10.1080/00207160008805018zbMath0968.65103OpenAlexW2030592770MaRDI QIDQ4521218

Jun Zhang, Jules Kouatchou

Publication date: 2 September 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008805018

zbMATH Keywords

convergencenumerical examplesmultigrid methodPoisson equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Compact schemes for acoustics in the frequency domain ⋮ A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions ⋮ A new high order accurate, finite difference method on quasi-variable meshes for the numerical solution of three dimensional Poisson equation ⋮ Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D Poisson equation

Uses Software

• Wesseling

Cites Work

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• Vectorized multigrid Poisson solver for the CDC CYBER 205
• Residual scaling techniques in multigrid. II: Practical applications
• Fast and high accuracy multigrid solution of the three dimensional Poisson equation
• A high accuracy defect-correction multigrid method for the steady incompressible Navier-Stokes equations
• Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
• Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficients
• A cost-effective multigrid projection operator

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