Comparison of eigenvalue ratios in artificial boundary perturbation and Jacobi preconditioning for solving Poisson equation

DOI10.1016/j.jcp.2017.08.013zbMath1380.65330OpenAlexW2745160774MaRDI QIDQ1695329

Chohong Min, Gang Joon Yoon

Publication date: 7 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.08.013

zbMATH Keywords

finite difference methodcondition numberPoisson equationJacobi preconditionerartificial boundary perturbationShortley-Weller

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Optimal preconditioners on solving the Poisson equation with Neumann boundary conditions ⋮ ANALYSIS OF GHOST-FLUID METHOD WITH CUBIC EXTRAPOLATION FOR TWO-POINT BOUNDARY VALUE PROBLEM ⋮ An efficient MILU preconditioning for solving the 2D Poisson equation with Neumann boundary condition ⋮ The Shortley-Weller scheme for variable coefficient two-point boundary value problems and its application to tumor growth problem with heterogeneous microenvironment

Uses Software

• GRSIM

Cites Work

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• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
• The Numerical Solution of Laplace's Equation

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