Conservative Semidiscrete Difference Schemes for Timoshenko Systems
Other literature type, Article
Júnior, D. S. Almeida
- Publisher: Hindawi Publishing Corporation
(issn: 1110-757X, eissn: 1687-0042)
Mathematics | QA1-939 | Article Subject
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.