Boundary Integral Techniques for Multi-Connected Domains.

Abstract

Several boundary integral techniques are available for the computation of the solution to Lapace's equation in multi-connected domains. However, for cases where the domain is changing, such as in incompressible, inviscid fluid flow with free surfaces, iterative methods are highly attractive. The paper describes one such formulation and tests it on circular and elliptic annuli. It is necessary to use interpolated numerical quadrature points to maintain accuracy when regions on the annuli are thin. Keywords: Fredholm integral equations; thin fluid shells. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1985
Accession Number
ADA158171

Entities

People

  • G. R. Baker
  • M. J. Shelley

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computational Complexity
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Fluid Flow
  • Geometric Forms
  • Geometry
  • Integral Equations
  • Lines (Geometry)
  • Mathematics
  • Numerical Quadrature
  • Potential Theory
  • Two Dimensional
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

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