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

C. J. Talbot, A. Crampton

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)95-110
Number of pages16
JournalNumerical Algorithms
Volume38
Issue number1-3
DOIs
Publication statusPublished - Mar 2005

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Pseudospectral Method
Eigenvalue Problem
Elasticity
Differentiation (calculus)
Linear Elasticity
Partial differential equations
Pole
Poles
Partial differential equation
Boundary conditions
Singularity
Necessary

Cite this

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Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity. / Talbot, C. J.; Crampton, A.

In: Numerical Algorithms, Vol. 38, No. 1-3, 03.2005, p. 95-110.

Research output: Contribution to journalArticle

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