Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics

Abstract

This report gives a brief discussion of the different problem areas under which research papers have been published during the term of the grant as well as a short description of the main results. In this research finite element methods were applied to a simple model of shear band formation. They were also used for elliptic and parabolic problems that arise in optimal control and for equations that simulate phase transitions. These finite element schemes were analyzed and implemented. Also, studies of space-time schemes where the Galerkin technique is used to discretize time as well as space were the focus of several papers. Finally, a last paper contains a thorough analysis of an adaptive time discretization technique.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1993
Accession Number
ADA275582

Entities

People

  • Donald A. French

Organizations

  • University of Cincinnati

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Equations Of State
  • Finite Element Analysis
  • Formulas (Mathematics)
  • Galerkin Method
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Personal Information Managers
  • Phase Transformations
  • Shear Bands
  • Transitions
  • Wave Equations

Readers

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

Technology Areas

  • Space