Monte Carlo methods for computing the capacitance of the unit cube

DOI10.1016/j.matcom.2008.03.003zbMath1192.78046OpenAlexW2067202249WikidataQ57553716 ScholiaQ57553716MaRDI QIDQ974241

Chi-Ok Hwang, Taeyoung Won, Michael Mascagni

Publication date: 27 May 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.03.003

zbMATH Keywords

Monte Carlorandom walkcube capacitanceelectrical capacitancewalk on boundary (WOB)

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Monte Carlo methods applied to problems in optics and electromagnetic theory (78M31)

Related Items (2)

Precise calculation of electrical capacitance by means of quadruple integrals in method of moments technique ⋮ Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra

Uses Software

• SPRNG

Cites Work

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• The random walk on the boundary method for calculating capacitance
• A Monte Carlo method for Poisson's equation
• Capacity of the regular polyhedra
• On the capacitance of a cube
• Improved extrapolation technique in the boundary element method to find the capacitances of the unit square and cube
• \(\varepsilon\)-shell error analysis for ``walk on spheres algorithms
• Capacitances and singularities of the unit triangle, square, tetrahedron and cube
• Functional Integration and Partial Differential Equations. (AM-109)
• An application of Thomson s theorem to the determination of induced charge density
• From Brownian Motion to Schrödinger’s Equation
• Calculation of the Electrical Capacitance of a Cube

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