Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect

DOI10.1007/978-3-642-00464-3_9zbMath1233.65078OpenAlexW2116670613MaRDI QIDQ3615645

Lyubomyr Demkiv, Volodymyr L. Makarov

Publication date: 24 March 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_9

zbMATH Keywords

boundary effectDirichlet conditionsdifference schemesPoisson equationfinite-element methodmesh knotsNeimann conditionsquantitative investigation

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 (5)

The finite-difference scheme of higher order of accuracy for the two-dimensional Poisson equation in a rectangle with regard for the effect of the Dirichlet boundary condition ⋮ Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions ⋮ A weighted error estimate for a finite-difference scheme of increased approximation order for a two-dimensional Poisson equation with allowance for the Dirichlet boundary condition ⋮ Boundary effect in accuracy estimate of the grid method for solving fractional differential equations ⋮ The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation

Cites Work

• Maximum principle and uniform convergence for the finite element method
• A generalized polygamma function
• Numerical Analysis and Its Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect