Effective Condition Number of Finite Difference Method for Poisson's Equation Involving Boundary Singularities

DOI10.1080/01630563.2011.572267zbMath1416.65404OpenAlexW2047980366MaRDI QIDQ3016315

Hung-Tsai Huang, Zi Cai Li, Chieh-Sen Huang, Tzon-Tzer Lu, Qing Fang

Publication date: 15 July 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.572267

zbMATH Keywords

finite difference methodPoisson's equationcondition numberboundary singularitieseffective condition number

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Stability analysis for singularly perturbed differential equations by the upwind difference scheme

Cites Work

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• The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution
• Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation of Poisson's Equation. II. Singularity Problems
• Superconvergence of Solution Derivatives of the Shortley–Weller Difference Approximation to Elliptic Equations with Singularities Involving the Mixed Type of Boundary Conditions

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