scholarly journals On numerical stabilization in the solution of Saint-Venant equations using the finite element method

2011 ◽  
Vol 62 (4) ◽  
pp. 1957-1968 ◽  
Author(s):  
Fatemeh Zarmehi ◽  
Ali Tavakoli ◽  
Majid Rahimpour
2021 ◽  
Vol 11 (13) ◽  
pp. 6052
Author(s):  
Thi Thanh Nga Nguyen ◽  
Thang Xuan Duong ◽  
Van-Sy Nguyen

This paper presents a general framework to design a cam profile using the finite element method from given displacements of the follower. The arbitrarily complex cam profile is described by Lagrangian finite elements, which are formed by the connectivity of nodes. In order to obtain the desired profile, a penalty-type functional that enforces the prescribed displacement of the follower is proposed. Additionally, in order to ensure convexity of the functional, a numerical stabilization scheme is used. The nodal positions are then obtained by solving a nonlinear system of equations resulting from minimizing the total functional. The geometrical accuracy of the cam profile can be controlled by the number of finite elements. A case study is considered to illustrate the flexibility, accuracy, and robustness of the proposed approach.


Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.


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