scholarly journals Inverse scattering using the finite-element method and a nonlinear optimization technique

1999 ◽  
Vol 47 (3) ◽  
pp. 336-344 ◽  
Author(s):  
I.T. Rekanos ◽  
T.V. Yioultsis ◽  
T.D. Tsiboukis
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Optimization ◽  
Inverse Scattering ◽  
Optimization Technique ◽  
The Finite Element Method ◽  
Element Method

scholarly journals How Accurately Can a Spherical Cap be Represented by Rational Quadratic Polynomials?

2021 ◽  
Vol 20 ◽  
pp. 138-143
Author(s):  
CHRISTOPHER G. PROVATIDIS
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Isogeometric Analysis ◽  
Optimization Technique ◽  
Control Points ◽  
The Finite Element Method ◽  
Spherical Cap ◽  
Quadratic Polynomials ◽  
Preparatory Stage ◽  
Element Method

This paper discusses the incapability of a tensor product rational quadratic patch to accurately represent a spherical cap. It was analytically found that there is no combination of control points and associated weights to accurately represent the spherical cap. On top of that, an optimization technique has revealed that for a unit sphere the computed radii in the parametric space may reduce within the interval [0.999999994, 1.000104146]. This study makes sense as a preparatory stage in relation with the isogeometric analysis (IGA), which may be applied in conjunction with either the Finite Element Method (FEM) or the Boundary Element Method (BEM).

Optimum Gradation Direction for a Functionally Graded Endodontic Prefabricated Parallel Post: A Finite Element Method

2015 ◽  
Vol 24 ◽  
pp. 56-69 ◽  
Author(s):  
Wasim M.K. Helal ◽  
Dong Yan Shi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Optimization Technique ◽  
Functionally Graded ◽  
Sigmoid Function ◽  
Stress Distributions ◽  
The Finite Element Method ◽  
Graded Material ◽  
Optimum Material ◽  
Element Method

The main purpose of the present work is to determine the optimum gradation direction of an endodontic prefabricated parallel post (EPPP) made of functionally graded material (FGM). To determine the optimum gradation direction of an EPPP made of FGM, the finite element method (FEM) is used. After that, the optimization technique was adopted in order to determine the optimum material gradient for the functionally graded endodontic prefabricated parallel post (FGEPPP). Simulation results indicated that, the optimum gradation direction for the FGEPPP is from up to down, and can be described by using a modified sigmoid function. The effect of varying of the material gradient indexes on the performance of the (FGEPPP) is investigated. Also, stress distributions in all of FGEPPP cases and in homogeneous EPPP case are investigated. The current investigation shows that, the use of the FGM improves the performance of an EPPP.

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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