Galerkin Methods for Miscible Displacement Problems in Porous Media.

Abstract

A priori error estimates for Galerkin methods for numerical approximation of the coupled quasilinear system for c - c(x,t) and p - p(x,t) and appropriate Neumann boundary and initial conditions are considered. Equations of this type arise in models for the miscible displacement of one incompressible fluid by another in a porous medium. Estimates for both continuous time and fully-discrete time Galerkin methods are presented.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1979
Accession Number
ADA068943

Entities

People

  • Mary Fanett Wheeler
  • Richard E. Ewing

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Counter IED

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Displacement
  • Equations
  • Errors
  • Flow
  • Fluid Flow
  • Galerkin Method
  • Materials
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

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