Local boundary element based a new finite difference representation for Poisson equations

DOI10.1016/j.amc.2010.12.002zbMath1215.65165OpenAlexW1966575689MaRDI QIDQ628856

Soyoung Ahn, Sang Dong Kim, Phil Su Kim

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.002

zbMATH Keywords

convergenceboundary element methodnumerical experimentsPoisson equationfinite difference formulaelocal Laplace problemsShortley-Weller approximation

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) Finite difference methods for boundary value problems involving PDEs (65N06) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

The Poisson problem: a comparison between two approaches based on SPH method ⋮ A novel decomposition as a fast finite difference method for second derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive grid-design methods for finite element analysis
• A method for automating the construction of irregular computational grids for storm surge forecast models
• Superconvergence of the Shortley-Weller approximation for Dirichlet problems
• Convergence of finite difference methods for convection--diffusion problems with singular solutions
• Superconvergence of solution derivatives for the Shortley--Weller difference approximation of Poisson's equation. I: Smoothness problems
• Effective condition number for finite difference method
• Discrete maximum principle for finite-difference operators
• SUPERCONVERGENCE AND NONSUPERCONVERGENCE OF THE SHORTLEY-WELLER APPROXIMATIONS FOR DIRICHLET PROBLEMS
• Finite differences on triangular grids
• Non-singular boundary integral formulations for plane interior potential problems
• Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation of Poisson's Equation. II. Singularity Problems
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Difference Equations on a Mesh Arising from a General Triangulation
• The Numerical Solution of Laplace's Equation

This page was built for publication: Local boundary element based a new finite difference representation for Poisson equations