A quantitative discrete \(H^ 2\)-regularity estimate for the Shortley- Weller scheme in convex domains

DOI10.1007/BF01400890zbMath0639.65054MaRDI QIDQ1099934

Winfried Auzinger

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133251

zbMATH Keywords

Poisson's equationbounded convex domainsShortley-Weller discretization

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• On the regularity of difference schemes. II: Regularity estimates for linear and nonlinear problems
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Defect Corrections for Multigrid Solutions of the Dirichlet Problem in General Domains

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