SOME RELATIONS BETWEEN POTENTIAL THEORY AND THE WAVE EQUATION

Abstract

Solutions to the Dirichlet and Neumann problems for the region exterior to the intersection of two regions whose individual electrostatic Green's functions are known are developed. The method is applied specifically to obtain solutions for the exterior of a solid finite circular cone with a spherical cap. The solutions to the vector and scalar wave equations for long wavelengths can be expressed in terms of these Dirichlet and Neumann solutions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1960
Accession Number
AD0258307

Entities

People

  • D. A. Darling

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Electrical Engineering
  • Engineering
  • Equations
  • Government Procurement
  • Governments
  • Identities
  • Integral Equations
  • Michigan
  • Military Research
  • Notation
  • United States
  • Universities
  • Yield

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics
  • Structural Dynamics.