Bilateral estimates for solutions of boundary value problems in Kirchhoff plates |
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| Authors: | I Chudinovich D Doty A Koshchii |
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| Institution: | 1. Department of Mathematical and Computer Sciences , University of Tulsa , Tulsa , OK , USA;2. Department of Computer Science , International Solomon University , Kharkov , Ukraine |
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| Abstract: | Dirichlet boundary value problems are studied for thin elastic plates on an elastic foundation within Kirchhoff's classical model. The aim is to construct dual problems that make it possible to obtain bilateral error estimates for approximate solutions. In the absence of an elastic foundation, the dual functionals are maximized on function sets whose elements satisfy certain differential restrictions. The theory is illustrated by means of a numerical example. |
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| Keywords: | elastic plates error estimates dual methods |
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