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2014 Conservative Semidiscrete Difference Schemes for Timoshenko Systems
D. S. Almeida Júnior
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/686421


We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia. We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as locking phenomenon on shear force. Our method of proof relies on discrete multiplier techniques.


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D. S. Almeida Júnior. "Conservative Semidiscrete Difference Schemes for Timoshenko Systems." J. Appl. Math. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131788
MathSciNet: MR3208635
Digital Object Identifier: 10.1155/2014/686421

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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