scholarly journals FINITE ELEMENT METHOD FOR A NONLINEAR DIFFERENTIAL EQUATION DESCRIBING CRYSTAL SURFACE GROWTH

2014 ◽  
Vol 19 (2) ◽  
pp. 155-168 ◽  
Author(s):  
Xiaopeng Zhao ◽  
Fengnan Liu ◽  
Bo Liu
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Differential Equation ◽  
Crystal Surface ◽  
Surface Growth ◽  
The Finite Element Method ◽  
Order Error ◽  
Projection Approximation ◽  
Element Method

In this paper, for a nonlinear differential equation describing crystal surface growth, the finite element method is presented. A nice order error estimates is derived by means of a finite element projection approximation.

scholarly journals STRENGTH ANALYSIS OF VARIABLE RIGIDITY SLABS ON ELASTIC SUPPORT WITH VARIABLE SUBGRADE RATIO

2019 ◽  
pp. 201-208
Author(s):  
E. V. Barmekova
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Elastic Support ◽  
Strength Analysis ◽  
The Finite Element Method ◽  
Variable Rigidity ◽  
Different Thickness ◽  
Element Method

The paper presents the strength analysis of variable rigidity slabs on elastic support with the variable subgrade ratio. The analysis is based on a solution of the differential equation of the slab flexure using the finite element method. The results are obtained for different slabs on the elastic support. The results are presented for the different thickness of the upper layer of the two-layer slab on the elastic support with the variable subgrade ratio.

scholarly journals Finite Element Method for Linear Multiterm Fractional Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Abdallah A. Badr
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Numerical Methods ◽  
Existence And Uniqueness ◽  
The Finite Element Method ◽  
Galerkin Approach ◽  
Uniqueness Of The Solution ◽  
Fractional Differential ◽  
Element Method

We consider the linear multiterm fractional differential equation (fDE). Existence and uniqueness of the solution of such equation are discussed. We apply the finite element method (FEM) to obtain the numerical solution of this equation using Galerkin approach. A comparison, through examples, between our techniques and other previous numerical methods is established.

scholarly journals Design of a nonlinear observer using the finite element method with application to a biological system

2019 ◽  
pp. 292-297 ◽  
Author(s):  
Branislav Rehak ◽  
Volodymyr Lynnyk
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Partial Differential Equation ◽  
Finite Element ◽  
Biological System ◽  
Specific Growth ◽  
Observer Design ◽  
Nonlinear Observer ◽  
The Finite Element Method ◽  
Element Method

An observer for a nonlinear biological system — biomass production in a bioreactor —is proposed. The specific growth rate is estimated. The key point of the observer design is finding a solution of a certain partial differential equation. Conditions guaranteeing existence of its solution are presented. The solution is approximated using finite element method. The results are illustrated by a numerical example.

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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