Conservative Semidiscrete Difference Schemes for Timoshenko Systems

[摘要] We present a parameterized family of finite-difference schemes to analyze the energyproperties for linearly elastic constant-coefficient Timoshenko systems considering shear deformationand rotatory inertia. We derive numerical energies showing the positivity, and the energy conservationproperty 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.

[学科分类] 应用数学