Constrained and Unconstrained Variational Finite Element Formulation of Solutions to a Stress Wave Problem - a Numerical Comparison.

Abstract

Unconstrained variational formulation has been applied to initial, boundary value problems previously with some numerical success. More recently, an adjoint bilinear variational principle has also been developed for initial and initial-boundary value problems which requires that the initial conditions be satisfied exactly and hence is a constrained variational formulation. This present report compares the numerical results of these two variational formulations for the case of a stress wave problem in a uniform bar.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA122280

Entities

People

  • C. N. Shen
  • Julian J. Wu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Discontinuities
  • Displacement
  • Equations
  • Grids
  • Materials
  • Numerical Analysis
  • Stress Waves
  • Stresses
  • United States Military Academy
  • Variational Methods
  • Variational Principles
  • Wave Equations
  • Waves
  • Weapon Systems

Fields of Study

  • Mathematics

Readers

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