Variational Principle for Penetrator Dynamics Using Bilinear Functional and Adjoint Formulation

Abstract

The solution to problems in both spatial and time domains using the finite element method can be based on the variational principle employing bilinear functional and adjoint formulation. The principle is extended to matrix vector coupling systems such as in penetration dynamics. The present hyperbolic type partial differential equation of interest has two dependent and two independent variables with the coupling in the spatial domain.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1985
Accession Number
ADA157964

Entities

People

  • C. N. Shen

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Calculus
  • Calculus Of Variations
  • Couplings
  • Differential Equations
  • Dynamics
  • Equations
  • Finite Element Analysis
  • Integrals
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Partial Differential Equations
  • Variational Methods
  • Variational Principles
  • Wave Equations

Fields of Study

  • Mathematics

Readers

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