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Some comments on a singular elliptic problem associated with a rectangle*

Published online by Cambridge University Press:  14 November 2011

V. A. Nye
V. A. Nye
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
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Synopsis

The construction of the approximate solution within a rectangle of a singular elliptic problem is discussed. It is found that, provided the boundary data satisfy certain continuity conditions at the corners of the rectangle, ordinary boundary layers and parabolic boundary layers only are necessary to describe the solution. A correction term, however, has to be added to the solution if the continuity conditions on the boundary data are not satisfied.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 3-4 , 1979 , pp. 283 - 296
Copyright
Copyright © Royal Society of Edinburgh 1979

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