Accession Number : ADA119604

Title :   The Minimax Finite Element Method.

Descriptive Note : Technical rept.,

Corporate Author : VIRGINIA UNIV CHARLOTTESVILLE DEPT OF MECHANICAL AND AEROSPACE ENGINEERING

Personal Author(s) : Park,Il-Bahng ; Pilkey,W D

PDF Url : ADA119604

Report Date : Jan 1982

Pagination or Media Count : 25

Abstract : In this paper, the minimax method is applied to boundary value problems which arise in structural mechanics. This is a weighted residual method in which the maximum absolute value of a residual is minimized. Like other weighted residual methods (7, 13), a trial function is employed which consists of undetermined parameters and basis functions. This trial function is introduced into governing differential equations, and the maximum absolute residual among several residuals at discrete points in the domain is minimized. This residual minimization criterion is applied to a finite element formulation by using piece wise trial functions defined on each element. (Author)

Descriptors :   *Minimax technique, *Finite element analysis, *Boundary value problems, *Structural mechanics, Equations of motion, Discrete distribution, Residuals, Optimization, Weighting functions, Differential equations, Computations, Linear programming, Solutions(General)

Subject Categories : Statistics and Probability
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE