A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet-Neumann boundary conditions

DOI10.1016/j.cpc.2012.09.031zbMath1302.35005OpenAlexW2120835681MaRDI QIDQ483865

Ashton S. Reimer, Alexei F. Cheviakov

Publication date: 17 December 2014

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2012.09.031

zbMATH Keywords

mixed boundary conditionsPoisson problemMatlabfinite-difference solvermean first passage time

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

DNSLab: a gateway to turbulent flow simulation in Matlab ⋮ On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement. II: The non-radial case ⋮ A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation ⋮ A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates

Uses Software

• Matlab
• FDMRP

Cites Work

• Unnamed Item
• Escape through a small opening: receptor trafficking in a synaptic membrane
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere
• On the numerical treatment of singularities in solutions of laplace's equation