DISCRETE POTENTIAL AND BOUNDARY VALUE PROBLEMS,

Abstract

The discrete potential function is used to reduce the boundary value problems for the Laplace difference equation to discrete analogues of the integral equations of potential theory for both finite and infinite regions in spaces of dimen sion greater than two. Uniqueness and existence theorems for the solutions of both the boundary value problems and the corresponding discrete potential equations are obtained by extending the combinatorial form of Stoke's Theorem to infinite complexes. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0411771

Entities

People

  • Charles Saltzer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Analogs
  • Boundaries
  • Boundary Value Problems
  • Difference Equations
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Potential Theory
  • Theorems

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space