scholarly journals An Enhanced Finite Element Method for a Class of Variational Problems Exhibiting the Lavrentiev Gap Phenomenon

2018 ◽  
Vol 24 (2) ◽  
Author(s):  
Xiaobing Feng ◽  
Stefan Schnake
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Problems ◽  
Enhanced Finite Element Method ◽  
Element Method

scholarly journals NURBS-enhanced finite element method (NEFEM)

2008 ◽  
Vol 76 (1) ◽  
pp. 56-83 ◽  
Author(s):  
Ruben Sevilla ◽  
Sonia Fernández-Méndez ◽  
Antonio Huerta
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Enhanced Finite Element Method ◽  
Element Method

scholarly journals NURBS-Enhanced Finite Element Method (NEFEM)

2011 ◽  
Vol 18 (4) ◽  
pp. 441-484 ◽  
Author(s):  
Ruben Sevilla ◽  
Sonia Fernández-Méndez ◽  
Antonio Huerta
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Enhanced Finite Element Method ◽  
Element Method

scholarly journals 3D NURBS-enhanced finite element method (NEFEM)

2011 ◽  
Vol 88 (2) ◽  
pp. 103-125 ◽  
Author(s):  
Ruben Sevilla ◽  
Sonia Fernández-Méndez ◽  
Antonio Huerta
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Enhanced Finite Element Method ◽  
Element Method

ERRORS OF FINITE ELEMENT METHOD FOR PERFECTLY ELASTO-PLASTIC PROBLEMS

1996 ◽  
Vol 06 (05) ◽  
pp. 587-604 ◽  
Author(s):  
SERGEY I. REPIN
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Regularization Parameter ◽  
A Priori ◽  
Variational Problems ◽  
The Finite Element Method ◽  
External Data ◽  
Mesh Parameter ◽  
Convergence Estimates ◽  
Element Method

This paper discusses convergence of the finite element method for variational problems of the Hencky plasticity theory. To obtain a priori convergence estimates we use the method of “double approximation”. In the framework of this approach perfectly elastoplastic problem is approximated by some regularized problem. Hence, finite element solutions of the regularized problem depend on the regularization parameter δ and the mesh parameter h. For these solutions we obtain a projection type error estimate. This estimate is a sum of the two parts which represent the errors of regularization and discretization, respectively. Then we prove that under some assumptions on the external data the minimizer of the regularized problem and the maximizer of its dual problem possess additional differentiability properties and deduce the corresponding estimates which explicitly depend on the parameter δ. This makes it possible to prove that there is a dependence between δ and h such that piecewise-affine continuous approximations of the regularized problems generate a sequence of tensor valued functions which converges to the exact solution of the Hencky plasticity problem.

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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