Variational Principles and the Finite Element Method

1972 ◽  
Vol 9 (3) ◽  
pp. 378-389 ◽  
Author(s):  
A. R. MITCHELL
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Principles ◽  
The Finite Element Method ◽  
Element Method

Generalized variational principles in the finite-element method.

AIAA Journal ◽  
1969 ◽  
Vol 7 (7) ◽  
pp. 1254-1260 ◽  
Author(s):  
B. E. GREENE ◽  
R. E. JONES ◽  
R. W. McLAY ◽  
D. R. STROME
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Principles ◽  
The Finite Element Method ◽  
Generalized Variational Principles ◽  
Element Method

Research on the Programming of Calculation and Analysis of the Improved Finite Element Method Based on Matlab

2014 ◽  
Vol 602-605 ◽  
pp. 3316-3320
Author(s):  
Lei Jiang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Principles ◽  
Visual Programming ◽  
The Finite Element Method ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Complex Engineering ◽  
The Empirical Analysis ◽  
Element Method

Matlab tools are used to improve the programming in the process of calculation and analysis by adopting the continuous and discrete numerical methods developed in modern times with the variational principles and the subdivision interpolation as the basis, so as to implement the finite element analysis of the module, which is one of the most important method to solve the calculation and analysis in the calculation of complex engineering by finite element method. Firstly, according to the development of finite element method, and the characteristics of point process, we analyze the fundamental characteristics of the finite element method. On the basis of this, combined with the Matlab visual programming GUI component, we has designed the improved calculation and analysis programming of finite element method. In order to verify the rationality of the process, triangular unit division method is used to carry out the empirical analysis. And the results show that this method is effective, and has very strong practicability.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

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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