THE RELATION BETWEEN THE GREEN'S THEOREM APPROACH AND THE INDIRECT METHODS FOR EXTREMAL PROBLEMS OF A LINEAR TYPE

Abstract

Discontinuous solutions associated with variational problems of a linear type are approached using either Green's theorem or the indirect methods of the Calculus of Variations. With one approach, the fundamental function is employed in combination with Green's theorem. Consequently, by knowing the fundamental function, it is possible to calculate the switching function and, hence, to predict the composition of the extremal arc by means of the LegendreClebsch condition. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1961
Accession Number
AD0264920

Entities

People

  • Angelo Miele

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Mathematics
  • Switching

Readers

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