Error Analysis of Adaptive Finite Difference Methods Using Stretching Functions for Polar Coordinate Form of Poisson-Type Equation

DOI10.1081/NFA-120020242zbMath1030.65111OpenAlexW1967735371MaRDI QIDQ4413511

Tetsuro Yamamoto, Yukihiro Shogenji, Qing Fang

Publication date: 20 July 2003

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

Full work available at URL: https://doi.org/10.1081/nfa-120020242

zbMATH Keywords

convergenceDirichlet problemnumerical experimentserror analysisPoisson equationnonuniform gridsadaptive finite difference methodsstretching function

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Convergence Analysis of the Shortley-Weller Method on Refinement Grids for Elliptic Equations with Singularities ⋮ Convergence of the Swartztrauber-Sweet Method for Parabolic Problems on a Disk with Singularities ⋮ Nonuniform FDM for Poisson-Type Equations on a Disk with Singular Solutions ⋮ Error Analysis of Adaptive Finite Difference Methods Using Stretching Functions for Polar Coordinate Form of Poisson-Type Equation

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