Multigrid method based on transformation-free high-order scheme for solving 2D Helmholtz equation on nonuniform grids

DOI10.1186/s13662-016-0745-2zbMath1422.65313OpenAlexW2336871817WikidataQ59480514 ScholiaQ59480514MaRDI QIDQ1796276

Saeed Islam, Noor Badshah, Muhammad Altaf Khan, Fazal Ghaffar

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0745-2

zbMATH Keywords

multigrid methodHelmholtz equationnonuniform gridscompact iterative schemes

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 (5)

A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems ⋮ A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains ⋮ A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations ⋮ On segmentation model for vector valued images and fast iterative solvers ⋮ A geometric full multigrid method and fourth-order compact scheme for the 3D Helmholtz equation on nonuniform grid discretization

Uses Software

• Wesseling

Cites Work

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• Unnamed Item

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