APPROXIMATE SOLUTION OF THE EXTERIOR DIRICHLET PROBLEM AND THE CALCULATION OF ELECTROSTATIC CAPACITY,

Abstract

A digital computer technique is described for approximating the solution of the exterior Dirichlet problem. The essence of the method is the combination of geometric inversion with a method for approximating the solution of an interior Dirichlet problem. Two and three dimensional problems are discussed separately because each requires a different treatment of boundary data. The technique for three dimensions extends to higher dimensional problems. Application is made to the calculation of electrostatic capacity by reducing the usual formula for capacity to one which requires only the evaluation at the origin of the solution of a particularly simple interior Dirichlet problem. Finally, the capacity of a unit cube is estimated to be 0.661. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1965
Accession Number
AD0623739

Entities

People

  • Donald Greenspan
  • Edward Silverman

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Computers
  • Computing Devices
  • Digital Computers
  • Inversion
  • Test And Evaluation
  • Three Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)