The Boundary Integral Equation Method Using Various Approximation Techniques for Problems Governed by Laplace's Equation.

Abstract

The Boundary Integral Equation (BIE) method is applied to boundary value problems governed by Laplace's equation. In addition to the piecewise constant approximation for boundary functions, two other numerical approximations, quadratic shape function and cubic spline function representations, are adopted. Comparisons are discussed. Topics for further research are indicated. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA033891

Entities

People

  • Yen Sen Wu

Organizations

  • University of Kentucky

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Boundary Value Problems
  • Coefficients
  • Complex Variables
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Geometry
  • Integral Equations
  • Intervals
  • Numerical Analysis
  • Standards
  • Step Functions
  • Three Dimensional
  • Triangles
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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