An Iterative Method for Solving Finite Difference Approximations to Stokes Equations.

Abstract

A new iterative method is presented for solving finite difference equations which approximate the steady Stokes equations. The method is an extension of successive-over-relaxation and has two iteration parameters. Perturbation methods are used to analyze the iteration matrix. Sufficient conditions for the convergence of the iterative method are obtained and it is shown that many reasonable finite difference schemes for the Stokes equations satisfy these conditions. Computational examples are given to show the efficiency of the method.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1983
Accession Number
ADA127704

Entities

People

  • John C. Strikwerda

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fluid Dynamics
  • Iterations
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Perturbations
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

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