Solution of high order compact discretized 3D elliptic partial differential equations by an accelerated multigrid method

DOI10.1016/j.cam.2018.10.032zbMath1407.65319OpenAlexW2899094538WikidataQ128999784 ScholiaQ128999784MaRDI QIDQ1713183

Arcesio Castañeda Medina, Rochus Schmid

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.10.032

zbMATH Keywords

convection-diffusion equationelliptic partial differential equationsmultigrid solversiterant recombinationhigh-order compact difference methodssymbolic derivation methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Symbolic computation and algebraic computation (68W30) Diffusion (76R50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08)

Related Items (6)

Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation ⋮ A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients ⋮ Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients ⋮ Finite difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients ⋮ An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems ⋮ Phase shift, oscillation and collision of the anti-dark solitons for the \((3+1)\)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system

Uses Software

• Mathematica

Cites Work

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• Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows
• High‐order compact scheme for the steady stream‐function vorticity equations
• High accuracy multigrid solution of the 3D convection-diffusion equation

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