Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity

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Talbot, Chris J. and Crampton, Andrew (2005) Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity. Journal of Numerical Algorithms 38 Special Issue: Chebyshev Polynomials, 38. pp. 95-110. ISSN 1017-139

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Official URL: http://dx.doi.org/10.1007/s11075-004-2860-5

DOI: 10.1007/s11075-004-2860-5

Abstract

A pseudo-spectral approach to 2D vibrational problems arising in linear elasticity is considered using differentiation matrices. The governing partial differential equations and associated boundary conditions on regular domains can be translated into matrix eigenvalue problems. Accurate results are obtained to the precision expected in spectral-type methods. However, we show that it is necessary to apply an additional pole condition to deal with the r=0 coordinate singularity arising in the case of a 2D disc.

Item Type:	Article
Additional Information:	© Springer 2005
Uncontrolled Keywords:	spectral methods - collocation - differentiation matrices - boundary value problems - solid mechanics, elasticity
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science Q Science > QA Mathematics
Schools:	School of Computing and Engineering School of Computing and Engineering > Automotive Engineering Research Group School of Computing and Engineering > Diagnostic Engineering Research Centre School of Computing and Engineering > Diagnostic Engineering Research Centre > Measurement System and Signal Processing Research Group School of Computing and Engineering > Informatics Research Group School of Computing and Engineering > Informatics Research Group > Knowledge Engineering and Intelligent Interfaces School of Computing and Engineering > Informatics Research Group > Software Engineering Research Group School of Computing and Engineering > Informatics Research Group > XML, Database and Information Retrieval Research Group
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Depositing User:	Briony Heyhoe
Date Deposited:	26 Jul 2007
Last Modified:	10 Dec 2010 13:30
URI:	http://eprints.hud.ac.uk/id/eprint/312

Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity

Abstract

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