Applications of multivariate spline functions in finite element method and CAGD

2001 ◽  
pp. 373-494
Author(s):  
Ren-Hong Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Spline Functions ◽  
Multivariate Spline ◽  
Element Method

scholarly journals A characterization of supersmoothness of multivariate splines

2020 ◽  
Vol 46 (5) ◽  
Author(s):  
Michael S. Floater ◽  
Kaibo Hu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Order ◽  
Maximal Order ◽  
Spline Functions ◽  
Multivariate Splines ◽  
The Finite Element Method ◽  
Polynomial Splines ◽  
Element Method

Abstract We consider spline functions over simplicial meshes in $\mathbb {R}^{n}$ ℝ n . We assume that the spline pieces join together with some finite order of smoothness but the pieces themselves are infinitely smooth. Such splines can have extra orders of smoothness at a vertex, a property known as supersmoothness, which plays a role in the construction of multivariate splines and in the finite element method. In this paper, we characterize supersmoothness in terms of the degeneracy of spaces of polynomial splines over the cell of simplices sharing the vertex, and use it to determine the maximal order of supersmoothness of various cell configurations.

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.

Contact modelling by the finite element method : Application to the piezoelectric motor

1999 ◽  
Vol 09 (PR9) ◽  
pp. Pr9-217-Pr9-226
Author(s):  
H. Ouazzani Touhami ◽  
J. C. Debus ◽  
L. Buchaillot
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Piezoelectric Motor ◽  
The Finite Element Method ◽  
Contact Modelling ◽  
Element Method
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