Accession Number : AD0709738

Title :   SULLA CAPACITA' ELETTROSTATICA DI UNA SUPERFICIE CHIUSA (On the Electrostatic Capacity of a Closed Surface),

Corporate Author : ROME UNIV (ITALY) ISTITUTO MATEMATICO

Personal Author(s) : Sneider Ludovici,Maria Adelaide

Report Date : 03 DEC 1968

Pagination or Media Count : 78

Abstract : The problem of the rigorous approximation of the capacity C of a closed surface is considered. By rigorous approximation the author means methods capable to give lower and upper bounds arbitrarily close to C. First of all a proper existence theorem is given for the potential functions, which considers general surfaces with edges and corners. Then several methods for giving lower and upper bounds to C are considered and all of them are mathematically justified. In the last part of the paper the numerical applications of the above methods in the case of a cube are exhibited. The author obtains the best lower and upper bounds, up to day known, for the capacity C of a cube of side 1 0.6534 < C < 0.6659. (Author)

Descriptors :   (*CAPACITANCE, SURFACES), ELECTROSTATICS, POTENTIAL THEORY, ITALY

Subject Categories : Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE