Behaviour in the Large of Numerical Solutions to One-Dimensional Nonlinear Viscoelasticity by Continuous Time Galerkin Methods

Abstract

We analyze the long time behavior of fully discrete solutions to a one-dimensional nonlinear viscoelastic problem. It is shown that these approximations which are found by a continuous time Galerkin method converge to a steady state. The possible numerical steady states are characterized and in particular their high degree of dependence on initial data and mesh design is explained. Computational results are included which show the above dependence and indicate that the numerical solutions will typically not converge to unstable states. (KR)

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Document Details

Document Type
Technical Report
Publication Date
Feb 05, 1990
Accession Number
ADA220197

Entities

People

  • Donald A. French
  • Soren Jensen

Organizations

  • University of Maryland, Baltimore County

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundaries
  • Boundary Value Problems
  • Calculus Of Variations
  • Computational Fluid Dynamics
  • Computational Science
  • Constitutive Equations
  • Differential Equations
  • Elastic Materials
  • Energy
  • Equations
  • Galerkin Method
  • Mechanics
  • Partial Differential Equations
  • Phase Transformations
  • Steady State
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Fluid Dynamics (CFD)
  • Structural Health Monitoring of Composite Structures.