Nonuniform FDM for Poisson-Type Equations on a Disk with Singular Solutions

DOI10.1080/01630563.2010.490542zbMath1202.65142OpenAlexW1965777856MaRDI QIDQ3590035

Qing Fang, Xiao-Yu Zhang

Publication date: 17 September 2010

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

Full work available at URL: https://doi.org/10.1080/01630563.2010.490542

zbMATH Keywords

finite difference methodsDirichlet boundary value problemsingular solutionsPoisson-type equationslocal grid refinementsSwartztrauber-Sweet scheme

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Convergence of the Swartztrauber-Sweet Method for Parabolic Problems on a Disk with Singularities

Cites Work

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• Superconvergence of the Shortley-Weller approximation for Dirichlet problems
• Convergence of consistent and inconsistent finite difference schemes and an acceleration technique
• Superconvergence of solution derivatives of the Shortley-Weller difference approximation to Poisson's equation with singularities on polygonal domains
• The numerical solution of second-order boundary value problems on nonuniform meshes
• Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation of Poisson's Equation. II. Singularity Problems
• Error Analysis of Adaptive Finite Difference Methods Using Stretching Functions for Polar Coordinate Form of Poisson-Type Equation
• Convergence of swartztrauber-sweets approximation for the poisson-type equation on a disk
• 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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