THE LAMBDA METHOD FOR BOUNDARY VALUE PROBLEMS.

Abstract

The lambda-Method is checked against existing solutions for uniformly loaded square and skew plates and methods for accelerating the convergence of the solutions are developed. Symmetrical edge-functions are developed and applied to a regular polygonal plate of 4n sides. A comprehensive treatment is given of skew and rectangular plates supported by flexible beams. The solution in all cases gives an exact solution to the mathematical model, where the calculated boundary residuals replace the specified boundary conditions. A Fortran (1620) Programme is appended for the quadrilateral plate. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0656391

Entities

People

  • G. V. Kelly
  • P. M. Quinlan

Organizations

  • University College Cork

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Mathematical Models
  • Models
  • Residuals

Fields of Study

  • Mathematics

Readers

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