A diffusion Monte Carlo method for charge density on a conducting surface at non-constant potentials

DOI10.1515/mcma-2021-2098zbMath1483.35241OpenAlexW3211297038MaRDI QIDQ2066977

Unjong Yu, Hoseung Jang, Chi-Ok Hwang

Publication date: 17 January 2022

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/mcma-2021-2098

zbMATH Keywords

corner singularitydiffusion Monte Carloflat conducting surfacenon-constant potential

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Monte Carlo methods (65C05) PDEs in connection with optics and electromagnetic theory (35Q60) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Monte Carlo methods applied to problems in optics and electromagnetic theory (78M31)

Cites Work

• Unnamed Item
• A Monte Carlo method for Poisson's equation
• Last-passage Monte Carlo algorithm for charge density on a conducting spherical surface
• A Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks
• Some Continuous Monte Carlo Methods for the Dirichlet Problem
• Functional Integration and Partial Differential Equations. (AM-109)
• Charge Singularity at the Corner of a Flat Plate
• From Brownian Motion to Schrödinger’s Equation

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