Daniele V. Finocchiaro TR-IMC B4-96-12 18 June 1996  Home/Search
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Abstract: In this paper we consider the computation of the electrostatic potential generated by a known distribution of charges. Using tools from integral geometry, we derive formulas for the potential generated by bodies with uniform charge density, as well as by bodies with superficial charge density. We also determine formulas for the potential energy of a system of bodies, and we propose a Monte Carlo approximation scheme for computing all these quantities. We show a priori error bounds which depend... (Update)
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.... Monte Carlo integration; for this scheme, there exist also theoretical results that relate the behaviour of the error to the geometry of the body [40]; 2. Quasi Monte Carlo integration [41] FORTRAN routines for generating Halton, Sobol and Faure quasi random sequences of...
.... We could find such interpretation for integrals of the electrostatic field (this paper and [Pel96] integrals of the potential field [Fin96] and integrals in radiosity [Pel97] At the moment we do not have such an interpretation for, say, dipole integrals or those integrals...
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BibTeX entry: (Update)
Daniele Finocchiaro. Monte Carlo evaluation of electrostatic potential and potential energy. Technical Report B4-96-12, Institute for Computational Mathematics, Pisa, Italy, June 1996. Available from http://www.imc.pi.cnr.it. http://citeseer.ist.psu.edu/finocchiaro96monte.html More
@misc{ finocchiaro96monte,
author = "D. Finocchiaro",
title = "Monte Carlo evaluation of electrostatic potential and potential energy",
text = "Daniele Finocchiaro. Monte Carlo evaluation of electrostatic potential
and potential energy. Technical Report B4-96-12, Institute for Computational
Mathematics, Pisa, Italy, June 1996. Available from http://www.imc.pi.cnr.it.",
year = "1996",
url = "citeseer.ist.psu.edu/finocchiaro96monte.html" }
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