scholarly journals Eigenvalue approximation by the finite element method: the method of Lagrange multipliers

1979 ◽  
Vol 33 (145) ◽  
pp. 63-76 ◽  
Author(s):  
William G. Kolata
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lagrange Multipliers ◽  
The Finite Element Method ◽  
Eigenvalue Approximation ◽  
Method Of Lagrange Multipliers ◽  
Element Method

On Certain Approximations in the Finite-Element Method

1971 ◽  
Vol 38 (1) ◽  
pp. 58-61 ◽  
Author(s):  
R. W. McLay
Keyword(s):  
Finite Element Method ◽  
Exact Solution ◽  
Finite Element ◽  
Variational Principle ◽  
Lagrange Multipliers ◽  
Restricted Problem ◽  
Generalized Variational Principle ◽  
The Finite Element Method ◽  
Element Method

Approximations made outside of the variational principle used in the finite-element method are examined for a restricted problem in elasticity. They are shown to be rigorous from the standpoint of a generalized variational principle in which Lagrange multipliers are utilized. The convergence of the Ritz solution to the exact solution is demonstrated. The bound is shown to be a function of the quality of both the displacement functions and other approximate functions in the analysis.

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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