SULLA CAPACITA' ELETTROSTATICA DI UNA SUPERFICIE CHIUSA (On the Electrostatic Capacity of a Closed Surface),
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 03, 1968
- Accession Number
- AD0709738
Entities
People
- Maria Adelaide Sneider Ludovici
Organizations
- Sapienza University of Rome