Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions

2000 ◽  
Vol 85 (2) ◽  
pp. 219-255 ◽  
Author(s):  
Ivo BabuškaRID="*"ID="*" Partially supp ◽  
Benqi GuoRID="**"ID="**" Partially suppor
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Upper Bounds ◽  
Two Dimensions ◽  
The Finite Element Method ◽  
Lower And Upper Bounds ◽  
Approximation Errors ◽  
Optimal Estimates ◽  
Element Method

scholarly journals Modeling Electric Field and Potential Distribution of an Model of Insulator in Two Dimensions by the Finite Element Method

2018 ◽  
Vol 3 (1) ◽  
pp. 01
Author(s):  
Nassima M ziou ◽  
Hani Benguesmia ◽  
Hilal Rahali
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electric Field ◽  
Potential Distribution ◽  
Two Dimensions ◽  
Comsol Multiphysics ◽  
The Finite Element Method ◽  
Good Agreement ◽  
Element Method

The electrical effects can be written by two magnitudes the field and the electrostatic potential, for the determination of the distribution of the field and the electric potential along the leakage distance of the polluted insulator, the comsol multiphysics software based on the finite element method will be used. The objective of this paper is the modeling electric field and potential distribution in Two Dimensions by the Finite Element Method on a model of insulator simulating the 1512L outdoor insulator used by the Algerian company of electricity and gas (SONELGAZ). This model is under different conductivity, applied voltage, position of clean layer and width of clean layer. The computer simulations are carried out by using the COMSOL multiphysics software. This paper describes how Comsol Multiphysics have been used for modeling of the insulator using electrostatic 2D simulations in the AC/DC module. Numerical results showed a good agreement.

scholarly journals A method for evaluation reliability of system

1996 ◽  
Vol 18 (4) ◽  
pp. 41-46
Author(s):  
Nguyen Van Pho ◽  
Nguyen Xuan Chinh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
External Force ◽  
Reinforce Concrete ◽  
Upper Bounds ◽  
Design Parameters ◽  
Lower And Upper Bounds ◽  
Element Method

In this paper, the authors have presented a method for evaluation reliability of system. The method includes three steps: - Deterministic calculation by finite element method to find inner forces of structure. In which aloes of design parameters and loads are chosen as their expectations. - To find reliability of every element according to statistic data's of design parameters and sternal loads. In which inner forces of structure are external force of element. - To evaluate reliability of system by to determine lower and upper bounds. For illustration, evaluation of reliability of multi-story frame of reinforce concrete is considered.

Study of the Effect of Photonic Crystals on Absorptance and Efficiency of Absorption of Two Organic Photovoltaic Cells by the Finite Element Method

2012 ◽  
Author(s):  
Maximiliano A. Velez ◽  
Amador M. Guzman
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Photonic Crystals ◽  
Active Material ◽  
Absorption Efficiency ◽  
Two Dimensions ◽  
Angle Of Incidence ◽  
The Finite Element Method ◽  
Numerical Work ◽  
Element Method

The present numerical work describes the simulation and analysis of the absorptance and absorption efficiency of a solar cell, where the effect of utilizing photonic crystals as an active material of the cell was studied. The study was performed by numerical simulations using a computational code based on the Finite Element Method [1]. The results were obtained for photonic crystals with periodicity in both one and two dimensions [2]. In the first one, periodicity, thickness of the active material, and distance with respect to the electrode for hole collection were varied, and two organic materials for the active zone were tested, P3HT:PCBM and TDPT:PCBM. In the case of crystals with periodicity in two dimensions, only the period in one of the two dimensions was varied, based on the cell with the highest efficiency of absorption proposed for cells with periodic photonic crystals in one dimension. All simulations were obtained for waves with TM polarization, zero angle of incidence and wavelengths between 400 and 700 nm.

Boundary and Interior Approximation Errors in the Finite-Element Method

1973 ◽  
Vol 40 (4) ◽  
pp. 1113-1117 ◽  
Author(s):  
I. Fried
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
Original Problem ◽  
The Finite Element Method ◽  
Approximation Errors ◽  
Load Function ◽  
Approximate Nature ◽  
Element Method

Application of the finite-element method brings with it some perturbations in the original problem; either voluntary in order to simplify the analysis or inevitable due to the approximate nature of the method. Typically perturbed are the elastic, thermal, or inertia coefficients, the load function, the essential boundary conditions, and the domain. It is the purpose of this paper to estimate these errors.

scholarly journals THE FINITE ELEMENT METHOD (FEM): AN APPLICATION TO FLUID MECHANICS AND HEAT TRANSFER

2018 ◽  
Vol 13 (4) ◽  
pp. 17-25
Author(s):  
L. A. Toro ◽  
C. A. Cardona ◽  
Yu. A. Pisarenko ◽  
A. V. Frolkova
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Solution ◽  
Boundary Conditions ◽  
Chemical Engineering ◽  
Internal Heat ◽  
Two Dimensions ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Element Method

In this paper the finite element method (FEM) is used to solve three problems that are of the paramount importance in Chemical Engineering. The first problem is related with the bidimensional flow of an ideal fluid around a cylindrical body, and the objective is to determine the velocity distribution of the flow. To model the flow, the potential formulation is used to obtain an analytical solution, and then, the approximated solution obtained by using FEM is compared with the analytical solution. From this comparison, it is deduced that both solutions have a good agreement. The second problem is the calculation of the temperature profile in a two-dimensional body with specified boundary conditions. This problem is modeled by the two-dimensional Laplace equation, and from the problem data and using variables separation, an analytical solution was obtained. Then, FEM was used to obtain an approximate solution and compared with analytical ones. Besides, from this comparison, it is concluded that both solutions agree. Finally, in the third problem the temperature distribution in a bidimensional body with internal heat generation is studied. This problem is modeled by Poisson equation in two dimensions, but due to the boundary conditions and the complications that arise by adding some heat sources in the final FEM discretization, the problem does not have an analytical solution. However, the analysis of FEM solution indicates that this solution is correct.

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