On the role of global conservation property for finite difference schemes

2021 ◽  
pp. 110437
Author(s):  
Jiaxian Qin ◽  
Yaming Chen ◽  
Xiaogang Deng
Keyword(s):  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Global Conservation ◽  
Conservation Property

scholarly journals Conservative Semidiscrete Difference Schemes for Timoshenko Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
D. S. Almeida Júnior
Keyword(s):  
Finite Difference ◽  
Elastic Constant ◽  
Constant Coefficient ◽  
Shear Force ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Rotatory Inertia ◽  
Conservation Property ◽  
Parameterized Family ◽  
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 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.

scholarly journals Conservative finite difference schemes for the modified Camassa-Holm equation

JSIAM Letters ◽  
2011 ◽  
Vol 3 (0) ◽  
pp. 37-40 ◽  
Author(s):  
Yuto Miyatake ◽  
Takayasu Matsuo ◽  
Daisuke Furihata
Keyword(s):  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Holm Equation
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