Superconvergence of Solution Derivatives of the Shortley–Weller Difference Approximation to Elliptic Equations with Singularities Involving the Mixed Type of Boundary Conditions

DOI10.1080/01630560701872490zbMath1139.65071OpenAlexW2014282387WikidataQ59416198 ScholiaQ59416198MaRDI QIDQ5450505

Hsin-Yun Hu, Zi Cai Li, Qing Fang, Songgui Wang

Publication date: 20 March 2008

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

Full work available at URL: https://doi.org/10.1080/01630560701872490

zbMATH Keywords

finite difference methodnumerical experimentsPoisson's equationsuperconvergencepolygonal domainsboundary singularityShortley-Weller approximationsolution derivativesstretching functionfinite element/volume methodmixed type of boundary conditionssecond-order self-adjoint elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

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Effective Condition Number of Finite Difference Method for Poisson's Equation Involving Boundary 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, Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation for Parabolic Problems

Cites Work

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