scholarly journals Piecewise polynomial interpolations in the finite element method

1973 ◽  
Vol 18 (3) ◽  
pp. 146-160
Author(s):  
Stanislav Koukal
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Piecewise Polynomial ◽  
The Finite Element Method ◽  
Element Method

scholarly journals Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation

2021 ◽  
Vol 40 ◽  
pp. 1-21
Author(s):  
A. Rahouti ◽  
Abdelhafid Serghini ◽  
A. Tijini
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Approximation Order ◽  
Spline Space ◽  
Numerical Results ◽  
Optimal Approximation ◽  
Polar Form ◽  
Piecewise Polynomial ◽  
The Finite Element Method ◽  
Element Method

In this paper, we use the finite element method to construct a new normalized basis of a univariate quadratic $C^1$ spline space. We give a new representation of Hermite interpolant of any piecewise polynomial of class at least $C^1$ in terms of its polar form. We use this representation for constructing several superconvergent and super-superconvergent discrete quasi-interpolants which have an optimal approximation order. This approach is simple and provides an interesting approximation. Numerical results are given to illustrate the theoretical ones.

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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