Numerical Methods for Singular Perturbation Problems.

Abstract

Singular perturbation equations contain many of the essential difficulties of the Navier-Stokes equations. In this report the weighted-mean scheme for linear equations and the monotone difference scheme for nonlinear equations were adopted. Presented here are fast iterative techniques for solving large systems of equations that result from discretization. Numerical results are also presented for nonlinear cases using Newton's method combined with the minimal residual method. The main conclusions are that minimal residual methods with a preconditioning technique and multigrid methods with a special relaxation scheme have proved to be quite reliable and far more efficient than standard iterative methods. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1983
Accession Number
ADA134696

Entities

People

  • L. Lustman
  • Q. Huynh
  • Y. S. Wong

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Advection
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Efficiency
  • Equations
  • Flow Fields
  • Isotherms
  • Iterations
  • Layers
  • Navier Stokes Equations
  • Nonlinear Systems
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Standards

Fields of Study

  • Mathematics

Readers

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