Hierarchic modelling of separable elliptic boundary value problems on thin domains

The dimensional reduction method for solving Laplace's equation on a flat plate, an arch and a spherical shell is investigated, extending previous work on laminated plates by Vogelius and Babuska (1981). Convergence rates for the error in energy are obtained, extending previous results by deriv...

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Bibliographic Details
Main Author: Arnold, Mark Edward
Published: University of Leicester 1998
Subjects:
515
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.696502