Mathematical problems of computational decisions in the finite element method

1977 ◽  
pp. 1-26 ◽  
Author(s):  
I. Babuška ◽  
W. C. Rheinboldt
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Mathematical Problems ◽  
Element Method

scholarly journals Numerical Simulation of Gravity Anomaly Based on the Unstructured Element Grid and Finite Element Method

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Chenyang Xu ◽  
Zhijun Huo ◽  
Gaetano Giunta
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Gravity Anomaly ◽  
Variational Equation ◽  
The Finite Element Method ◽  
Nickel Deposit ◽  
Inversion Result ◽  
Mathematical Problems ◽  
Mathematical Equations ◽  
Element Method

Finite element method is an important method to solve mathematical problems in engineering. Many mathematical equations are difficult to solve, but it becomes very simple after using the finite element method. In this paper, the finite element method is applied to the calculation of gravity anomaly. First, the variational equation of gravity anomaly calculation is established, and then the gravity anomaly value ten times the distance away from the anomaly body is used as the boundary condition. By comparing the gravity anomaly obtained by solving the stiffness matrix with the analytical solution, it can be found that the method in this paper has high accuracy. Finally, the model of Jinchuan copper nickel deposit is used for calculation, and the calculated gravity anomaly field is inverted with Growth3D. It can be found that the inversion result is very close to the model, which verifies the effectiveness of the algorithm in this paper.

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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