A Galerkin Procedure for Approximating the Flux on the Boundary for Elliptic and Parabolic Boundary Value Problems.

Abstract

Elliptic and parabolic boundary value problems are first solved approximately on a rectangle and then simple auxiliary calculations are performed on the Galerkin solution to produce higher order correct approximations to the boundary flux than arise from the straightforward differentiation of the Galerkin solution. L sup 2 boundary and L sup infinity estimates are derived for the error. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
AD0779436

Entities

People

  • Jim Douglas Jr.
  • Mary Fanett Wheeler
  • Todd Dupont

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

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