Conservative Semidiscrete Difference Schemes for Timoshenko Systems
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 a...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/686421 |
| Summary: | 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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| ISSN: | 1110-757X 1687-0042 |