Numerical Solution of Degenerate Variational Inequality Arising in the Fluid Flow Through Porous Media.

Abstract

In this paper the authors propose a numerical method for a degenerate variational inequality arising in the axisymmetric porous flow well problems which they have previously studied. They use the finite element method to discretize the problem, and establish the convergence of the solution of the discrete problem to the solution of the degenerate variational inequality. The solution of the physical problem depends upon the unknown discharge q. A rapidly convergent numerical method for finding q is obtained.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA110483

Entities

People

  • C. W. Cryer
  • S. Z. Zhou

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Axisymmetric
  • Boundaries
  • Computational Fluid Dynamics
  • Computer Programs
  • Computer Science
  • Computers
  • Convergence
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Flow
  • Mathematics
  • Numerical Analysis
  • Steady State
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

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