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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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.
|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
. H. Chen, Y. Su and B.D. Shizgal, A direct spectral collocation Poisson solver in polar and cylindrical coordinates, J. Comput. Phys. 160 (2000) 453–469.
|Depositing User:||Briony Heyhoe|
|Date Deposited:||26 Jul 2007|
|Last Modified:||10 Dec 2010 13:30|
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