The Proceedings of The Computational Mechanics Conference
Online ISSN : 2424-2799
2003.16
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A posteriori error estimate of eigenvalue problems
Kinji BABA
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CONFERENCE PROCEEDINGS FREE ACCESS

Pages 1011-1012

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Abstract
In the finite element method errors occur depending on the number of elements and their arrangement. It is very important for optimal design to estimate these errors. For this reason, a posteriori error estimation methods have been developed. In structural problems many of these error estimation methods are for static problems. However there are few error estimation methods for eigenvalue problems. In this paper a method of a posteriori error estimation for eigenvalue problems is presented. This method is based on the fact that eigenvalue problems are equivalent to the minimization of the Rayleigh quotient. This estimation is done by element-wise static analysis and correction using a convergence order of an a priori estimate. Simple numerical examples are shown.
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© 2003 The Japan Society of Mechanical Engineers
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