scholarly journals The Finite Element Method Applied to the Magnetostatic and Magnetodynamic Problems

2020 ◽  
Author(s):  
Dang Quoc Vuong ◽  
Bui Minh Dinh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electric Fields ◽  
Complex Geometry ◽  
Analytic Method ◽  
The Finite Element Method ◽  
Electromagnetic Problems ◽  
Common Technique ◽  
The Finite Difference Method ◽  
Element Method

Modelling of realistic electromagnetic problems is presented by partial differential equations (FDEs) that link the magnetic and electric fields and their sources. Thus, the direct application of the analytic method to realistic electromagnetic problems is challenging, especially when modeling structures with complex geometry and/or magnetic parts. In order to overcome this drawback, there are a lot of numerical techniques available (e.g. the finite element method or the finite difference method) for the resolution of these PDEs. Amongst these methods, the finite element method has become the most common technique for magnetostatic and magnetodynamic problems.

Numerical implementation of finite-element method of control volume using irregular mesh

2010 ◽  
Vol 7 ◽  
pp. 98-108
Author(s):  
Yu.A. Gafarova
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Delaunay Triangulation ◽  
Complex Geometry ◽  
Control Volume ◽  
Test Case ◽  
The Finite Element Method ◽  
Irregular Mesh ◽  
Discrete Analogues ◽  
Element Method

To solve problems with complex geometry it is considered the possibility of application of irregular mesh and the use of various numerical methods using them. Discrete analogues of the Beltrami-Mitchell equations are obtained by the control volume method using the rectangular grid and the finite element method of control volume using the Delaunay triangulation. The efficiency of using the Delaunay triangulation, Voronoi diagrams and the finite element method of control volume in a test case is demonstrated.

A Discussion on natural strain and geological structure - The finite element method and the solution of some geophysical problems

1976 ◽  
Vol 283 (1312) ◽  
pp. 139-151 ◽  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Geological Structure ◽  
The Finite Element Method ◽  
Recent Developments ◽  
Limited Application ◽  
Discrete Problems ◽  
The Finite Difference Method ◽  
Made In ◽  
Element Method

The finite element method has become established as a powerful tool for the solution of many problems of continuum mechanics where its physical interpretation, by analogy with discrete problems of structural analysis permits the user to exercise a considerable degree of insight and judgement in its use. Further it is now a recognized mathematical procedure of approximation which embraces many older methodologies (such as the finite difference method) as a subclass. In the field of geological studies its impact is fairly recent and only a limited application has been made to date. The techniques used here have been limited to those established over a decade ago in the parallel fields and recent developments and possibilities barely touched upon. In this paper the author therefore attempts to ( a ) outline some of the general mathematical and practical aspects of the method with illustrations from various fields which are relevant to geological problems, ( b ) survey accomplishments already made in geology and geotechnical fields, and ( c ) suggest some possible new extensions of application.

An Enhanced Multigrid Method for Fast Numerical Computation of the Magnetic Vector Potential

2010 ◽  
Vol 670 ◽  
pp. 311-317
Author(s):  
T. Arudchelvam ◽  
D. Rodger ◽  
S.R.H. Hoole
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Vector Potential ◽  
Computation Time ◽  
Grid Method ◽  
Magnetic Vector Potential ◽  
The Finite Element Method ◽  
Magnetostatic Field ◽  
Electromagnetic Problems ◽  
Element Method

An enhanced multi-grid method eliminating the error correction process of the conventional multi-grid method is presented for solving Poissonian problems and tested on two simple two-dimensional magnetostatic field problems. The finite element method (FEM) was used to solve for the vector potential in a sequence of grids. The gains in computation time are shown to be immense compared to the standard multi-grid methods, especially as the matrix system grows in size. These gains are very useful in solving electromagnetic problems using the finite element method.

Calculation of Heat Distribution in High Speed Cutting Based on Finite Element Method

2009 ◽  
Vol 626-627 ◽  
pp. 249-254
Author(s):  
Wang Yu Liu ◽  
X.K. Liu ◽  
Jing Li ◽  
Yong Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
High Speed ◽  
Experimental Result ◽  
Analytic Method ◽  
Heat Distribution ◽  
Analytic Model ◽  
The Finite Element Method ◽  
High Speed Cutting ◽  
Element Method

Combined the analytic method with the finite element method, the data necessary for calculating the heat distribution ratio for high speed cutting was mined first, and the experimental result was used to validate the authenticity of finite element modeling. Then, the ratio of heat distribution for high speed cutting based on the analytic model was obtained by customizing the special subroutine developed by the authors, which provides a new method for calculating the heat distribution.

A FINITE ELEMENT METHOD FOR MODELING OF ELECTROMAGNETIC PROBLEMS

2020 ◽  
pp. 25-31
Author(s):  
Vuong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Magnetic Flux Density ◽  
Analytic Method ◽  
Electrical System ◽  
Electromagnetic Problems ◽  
Magnetic Circuits ◽  
Electromagnetic Devices ◽  
Electrical Devices ◽  
Element Method

Electromagnetic devices are present everywhere in our daily life. In particular, they extremely play an important role  in the fields of the electrical system. Therefore, the modeling and analyzing the electromagetic problems become currently a matter of concern and topicality for researchers and designers of electrical devices. This paper introduces a finite element method to compute accurate distributions of leakage and fringing fluxes with air-gap variations, and eddy current losses of the magnetic circuits, that cannot generally be solved by a direct analytic method. The method is approached for the magnetic flux density formulation.

New Boundary Treatment in the Finite Element Model Using the Shallow Water Equation

2012 ◽  
Vol 446-449 ◽  
pp. 2694-2698
Author(s):  
Tae Hwa Jung
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Complex Geometry ◽  
Numerical Technique ◽  
Shallow Water Equation ◽  
Element Model ◽  
The Finite Element Method ◽  
Boundary Treatment ◽  
The Finite Element Model ◽  
Element Method

Effective numerical technique for treatment of inclined boundary in the finite element method was introduced. Finite element method was frequently used to analyze hydraulic phenomena in the coastal zone because it can be applied to irregular and complex geometry. In this study, we introduced the way to treat the boundary condition over an inclined bottom.

Comparation of Numerical Methods for Calculation of Thin Slabs

2014 ◽  
Vol 969 ◽  
pp. 73-77 ◽  
Author(s):  
Oldrich Sucharda ◽  
Jan Kubosek
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Concrete Slabs ◽  
The Finite Element Method ◽  
Thin Slab ◽  
Calculation Methods ◽  
Element Mesh ◽  
Internal Forces ◽  
The Finite Difference Method ◽  
Element Method

The purpose of this paper is to compare calculation of internal forces and deformations of slabs for two calculation methods: the finite element method and the finite difference method. Two concrete slabs have been analysed. In the case of the finite element method, different element mesh are used, providing, thus, solutions in different variants. The calculation and algorithms is based on a thin slab theory. Variants calculate in program Scia Engineer effects of shearing forces by means of the Midlins theory or thin slab theory. Algorithms for the calculation were developed in Matlab.

Sign in / Sign up

Export Citation Format

Share Document