Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation of Poisson's Equation. II. Singularity Problems

DOI10.1081/NFA-120022918zbMath1031.65118OpenAlexW2103998432MaRDI QIDQ4412378

Tetsuro Yamamoto, Hsin-Yun Hu, Qing Fang, Zi Cai Li

Publication date: 14 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-120022918

zbMATH Keywords

finite element methodfinite difference methodnumerical experimentsPoisson's equationerror analysissuperconvergenceShortley-Weller approximationstretching function

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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