Numerical Methods for Singularly Perturbed Differential Equations with Applications.

Abstract

Research was continued on the development and applications of adaptive numerical methods for singularly perturbed initial-boundary value problems for partial differential equations. Analysis is made of mesh moving schemes, examined local refinement methods, and developed a posteriori error estimation technique for none-and-two-dimensional hyperbolic and parabolic problems. Development has begun on parallel versions of some adaptive procedures. These methods are applied to several interesting physical problems, that arise in, e.g., elastic-plastic deformation, combustion, and fluid mechanics.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1987
Accession Number
ADA189786

Entities

People

  • J. E. Flaherty

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Computers
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Fluid Mechanics
  • Partial Differential Equations
  • Security
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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