The Edge-Function Method (E.F.M.).

Abstract

The main algebraic and programming features of E.F.M. (Edge Function Method) are illustrated by application to Laplace's equation for polygonal regions with elliptical cavities. The Basic Functions - Vertex, Edge and Mapped Polars - are obtained. Vertex equations, and Harmonic Fitting based on a discrete least squares criterion, are introduced. Extension is made to a region sub-divided into a series of elements as in E.F. work. Major areas of E.F. work - Elastostatics, Thin Plates and Vibrations of Thin Elastic Shells - are sketched, and some basic problems for 3-D elasticity are solved. The main features of E.F.M. are illustrated by numerical studies on the notch problem in Elastostatics and the vibration of a thin elastic shell with a square plan form. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA054265

Entities

People

  • Patrick M. Quinlan

Organizations

  • University College Cork

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computer Programming
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Elastic Properties
  • Elastic Shells
  • Equations
  • Fourier Series
  • Linear Systems
  • Numerical Analysis
  • Numerical Integration
  • Stress Concentration
  • Stresses
  • Three Dimensional
  • Vibration

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Structural Dynamics.