Calculation of Potential in a Sector, Part I.

Abstract

More and more practical problems are requiring the solution of potential problems in L-shaped regions, T-shaped regions, and worse. There seems still a dearth of wholly satisfactory means for getting numerical approximations in these cases. The present report will provide a useful tool for getting such numerical approximations; it will also provide a better theoretical understanding of the problems. The tool developed in this report is to provide means for the rapid calculation of u(x,y) at points inside a sector if u(x,y) is a harmonic function which is required to assume given values around the boundary. For the present Part I, these boundary values are required to be quite smooth.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1975
Accession Number
ADA016349

Entities

People

  • J. Barkley Rosser

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries

Readers

  • Electrical Engineering
  • Quantum Chemistry
  • Theoretical Analysis.