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

Author: Jim Douglas, Jr.; Todd Dupont; Mary Fanett Wheeler; WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
Publisher: Ft. Belvoir Defense Technical Information Center APR 1974.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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).
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Document Type: Book
All Authors / Contributors: Jim Douglas, Jr.; Todd Dupont; Mary Fanett Wheeler; WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
OCLC Number: 227586458
Notes: Sponsored in part by National Science Foundation.
Description: 22 pages

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).

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