Multigrid defect correction and fourth-order compact scheme for Poisson's equation

DOI10.1016/j.camwa.2017.01.016zbMath1372.65321OpenAlexW2589320954MaRDI QIDQ2401993

Stéphane Abide, Belkacem Zeghmati

Publication date: 6 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.016

zbMATH Keywords

stabilityPoisson's equationNeumann boundary conditionsnumerical experimentconvregencefourth-order compact schemeHodge-Helmholtz decompositionmultigrid defect correction

Mathematics Subject Classification ID

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

Related Items (5)

High-order compact scheme finite difference discretization for Signorini's problem ⋮ Finite difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients ⋮ Unsteady 2D and 3D Navier-Stokes solver with application of multigrid scheme to pressure Poisson fractional step on arbitrary unstructured grids in various applications with emphasis on ship motion ⋮ FFT-based high order central difference schemes for Poisson's equation with staggered boundaries ⋮ High-order compact difference schemes on wide computational stencils with a spectral-like accuracy

Uses Software

• Wesseling

Cites Work

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