A sharp error estimate for the numerical solution of a Dirichlet problem for the Poisson equation

DOI10.1016/0377-0427(92)90004-HzbMath0765.65096MaRDI QIDQ1208564

B. Büttgenbach, R. J. Nessel, G. Lüttgens, Henning Esser

Publication date: 16 May 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemfinite difference methodPoisson equationdiscrete Green's functionsharp error bounds

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes ⋮ Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation ⋮ A sharp error estimate for numerical Fourier fransform of band-limited functions based on windowed samples ⋮ A SHARP ERROR ESTIMATE FOR THE NUMERICAL SOLUTION OF MULTIVARIATE DIRICHLET PROBLEM FOR THE HEAT EQUATION ⋮ A sharp error estimate for the numerical solution of multivariate dirichlet problem ⋮ A sharp error estimate for the numerical solution of multivariate Dirichlet problems

Cites Work

• Quantitative extensions of the uniform boundedness principle
• On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations
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