Smoothed finite element method for time dependent analysis of quantum resonance devices

2018 ◽  
Vol 50 (3) ◽  
Author(s):  
Khaled S. R. Atia ◽  
Ahmed M. Heikal ◽  
S. S. A. Obayya
2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Haitao Wang ◽  
Xiangyang Zeng ◽  
Ye Lei

Wave-based methods for acoustic simulations within enclosures suffer the numerical dispersion and then usually have evident dispersion error for problems with high wave numbers. To improve the upper limit of calculating frequency for 3D problems, a hybrid smoothed finite element method (hybrid SFEM) is proposed in this paper. This method employs the smoothing technique to realize the reduction of the numerical dispersion. By constructing a type of mixed smoothing domain, the traditional node-based and face-based smoothing techniques are mixed in the hybrid SFEM to give a more accurate stiffness matrix, which is widely believed to be the ultimate cause for the numerical dispersion error. The numerical examples demonstrate that the hybrid SFEM has better accuracy than the standard FEM and traditional smoothed FEMs under the condition of the same basic elements. Moreover, the hybrid SFEM also has good performance on the computational efficiency. A convergence experiment shows that it costs less time than other comparison methods to achieve the same computational accuracy.


2016 ◽  
Vol 168 ◽  
pp. 16-29 ◽  
Author(s):  
Eric Li ◽  
Junning Chen ◽  
Zhongpu Zhang ◽  
Jianguang Fang ◽  
G.R. Liu ◽  
...  

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