A Galerkin Procedure for Estimating the Flux for Two-Point Boundary Value Problems

A method for obtaining very accurate approximations of the flux values at particular points of the domain for the two-point boundary value problem is analyzed. The method is based on the use of a Galerkin solution of the problem. The error in the flux is reduced from O(hr) to O(h2r).

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Bibliographic Details
Published in:SIAM journal on numerical analysis 1974-09, Vol.11 (4), p.764-768
Main Author: Wheeler, Mary Fanett
Format: Article
Language:English
Subjects:
Approximation
Boundary conditions
Boundary value problems
Error rates
Mathematical theorems
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Description
Summary:A method for obtaining very accurate approximations of the flux values at particular points of the domain for the two-point boundary value problem is analyzed. The method is based on the use of a Galerkin solution of the problem. The error in the flux is reduced from O(hr) to O(h2r).
ISSN:0036-1429
1095-7170
DOI:10.1137/0711062