nonconforming finite elements
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scholarly journals Extension of NXFEM to nonconforming finite elements

2017 ◽  
Vol 137 ◽  
pp. 226-245 ◽  
Author(s):  
D. Capatina ◽  
H. El-Otmany ◽  
D. Graebling ◽  
R. Luce
Keyword(s):  
Finite Elements ◽  
Nonconforming Finite Elements

On Hanging Node Constraints for Nonconforming Finite Elements using the Douglas--Santos--Sheen--Ye Element as an Example

2017 ◽  
Vol 55 (4) ◽  
pp. 1719-1739 ◽  
Author(s):  
Wolfgang Bangerth ◽  
Imbunm Kim ◽  
Dongwoo Sheen ◽  
Jaeryun Yim
Keyword(s):  
Finite Elements ◽  
Hanging Node ◽  
Nonconforming Finite Elements

A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem

2016 ◽  
Vol 16 (4) ◽  
pp. 653-666 ◽  
Author(s):  
Asha K. Dond ◽  
Thirupathi Gudi ◽  
Neela Nataraj
Keyword(s):  
Finite Element ◽  
Optimization Problems ◽  
Finite Element Approximation ◽  
The State ◽  
Element Approximation ◽  
Nonconforming Finite Element ◽  
Nonconforming Finite Elements ◽  
Adjoint Variables ◽  
Variational Discretization ◽  
And Control

AbstractThe article deals with the analysis of a nonconforming finite element method for the discretization of optimization problems governed by variational inequalities. The state and adjoint variables are discretized using Crouzeix–Raviart nonconforming finite elements, and the control is discretized using a variational discretization approach. Error estimates have been established for the state and control variables. The results of numerical experiments are presented.

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