The Minimax Finite Element Method.

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)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA119604

Entities

People

  • Il-bahng Park
  • W. D. Pilkey

Organizations

  • University of Virginia

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Civil Engineering
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Linear Programming
  • Mechanics
  • Modulus Of Elasticity
  • New York
  • Numerical Analysis
  • Partial Differential Equations
  • Plastic Properties
  • Shear Modulus
  • Structural Mechanics

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Regression Analysis.
  • Systems Analysis and Design