Approach to teaching the finite element method applied to electromagnetic problems with axial symmetry to electrical engineering students

1999 ◽  
Vol 7 (3) ◽  
pp. 133-145 ◽  
Author(s):  
Jos� Roberto Cardoso ◽  
Viviane Cristine Silva ◽  
Nancy Mieko Abe ◽  
Luiz Natal Rossi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Axial Symmetry ◽  
Engineering Students ◽  
Electrical Engineering ◽  
The Finite Element Method ◽  
Electromagnetic Problems ◽  
Approach To Teaching ◽  
Element Method

A Maxwell's Second Equation Approach to the Finite Element Method Applied to Magnetic Field Determination

1987 ◽  
Vol 24 (3) ◽  
pp. 259-272 ◽  
Author(s):  
José Roberto Cardoso
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Undergraduate Students ◽  
Engineering Students ◽  
Numerical Procedure ◽  
The Finite Element Method ◽  
Cad Cam ◽  
New Formulation ◽  
The Galerkin Method ◽  
Element Method

The burst of modern computing systems like CAD/CAM has given rise to the use of the finite element method (FEM), which is, at present, the most used numerical procedure in the determination of fields in continuous media. Undergraduate students find difficulty in understanding the usual way of demonstrating FEM by variational analysis or the Galerkin method. This paper introduces a new formulation of FEM, based on a direct application of Maxwell's second equation, which can be easily understood by undergraduate engineering students.

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.

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.

An Introduction to the Finite Element Method Using MATLAB

2005 ◽  
Vol 33 (3) ◽  
pp. 260-277 ◽  
Author(s):  
Donald W. Mueller
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Engineering Students ◽  
Solid Mechanics ◽  
Solution Procedure ◽  
The Finite Element Method ◽  
Stepped Shaft ◽  
Systematic Solution ◽  
Force Equilibrium ◽  
Element Method

This paper outlines an efficient approach to introducing the finite element method to undergraduate mechanical engineering students. This approach requires that the students have prior experience with MATLAB and a fundamental understanding of solid mechanics. Only two-dimensional beam element problems are considered, to simplify the development. The approach emphasizes an orderly solution procedure and involves important finite element concepts, such as the stiffness matrix, element and global coordinates, force equilibrium, and constraints. Two important and challenging engineering problems — a statically indeterminate beam structure and a stepped shaft — are analyzed with the systematic solution procedure and a MATLAB program. The ability of MATLAB to manipulate matrices and solve matrix equations makes the computer solution concise and easy to follow. The flexibility associated with the computer implementation allows example problems to be easily modified into design projects.

scholarly journals About the implementation of the finite element method for computer aided education in electrical engineering

1998 ◽  
Vol 34 (5) ◽  
pp. 3439-3442 ◽  
Author(s):  
F. Buret ◽  
O. Fabregue ◽  
D. Muller ◽  
A. Nicolas ◽  
L. Nicolas ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electrical Engineering ◽  
The Finite Element Method ◽  
Computer Aided ◽  
Element Method
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