Rigorous characterization of photonic devices using the finite element method

1999 ◽  
Author(s):  
B. M. A. Rahman ◽  
Muttukrishnan Rajarajan ◽  
Tiparatana Wongcharoen ◽  
Ferdinand A. Katsriku ◽  
Christos Themistos ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Photonic Devices ◽  
The Finite Element Method ◽  
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.

Rigorous characterization of surface plasmon modes by using the finite element method

2011 ◽  
Author(s):  
B. M. A. Rahman ◽  
H. Tanvir ◽  
N. Kejalakshmy ◽  
A. Quadir ◽  
K. T. V. Grattan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Surface Plasmon ◽  
The Finite Element Method ◽  
Plasmon Modes ◽  
Element Method

Characterization of metal-clad TE/TM mode splitters using the finite element method

1997 ◽  
Vol 15 (12) ◽  
pp. 2264-2269 ◽  
Author(s):  
M. Rajarajan ◽  
C. Themistos ◽  
B.M.A. Rahman ◽  
K.T.V. Grattan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Tm Mode ◽  
Element Method
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