Efficient hybrid scheme of finite element method of lines for modelling computational electromagnetic problems

2004 ◽  
Vol 18 (1) ◽  
pp. 49-66 ◽  
Author(s):  
R. S. Chen ◽  
Edward K. N. Yung ◽  
Ke Wu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Method Of Lines ◽  
Hybrid Scheme ◽  
Electromagnetic Problems ◽  
Element Method

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.

A POSTERIORI ERROR ESTIMATION FOR THE FINITE ELEMENT METHOD-OF-LINES SOLUTION OF PARABOLIC PROBLEMS

1999 ◽  
Vol 09 (02) ◽  
pp. 261-286 ◽  
Author(s):  
SLIMANE ADJERID ◽  
JOSEPH E. FLAHERTY ◽  
IVO BABUŠKA
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Method Of Lines ◽  
Posteriori Error ◽  
Parabolic Problems ◽  
A Posteriori ◽  
Element Discretization ◽  
Mesh Spacing ◽  
A Posteriori Estimates ◽  
Element Method

Babuška and Yu constructed a posteriori estimates for finite element discretization errors of linear elliptic problems utilizing a dichotomy principal stating that the errors of odd-order approximations arise near element edges as mesh spacing decreases while those of even-order approximations arise in element interiors. We construct similar a posteriori estimates for the spatial errors of finite element method-of-lines solutions of linear parabolic partial differential equations on square-element meshes. Error estimates computed in this manner are proven to be asymptotically correct; thus, they converge in strain energy under mesh refinement at the same rate as the actual errors.

Coupling PEEC-Finite Element Method for Solving Electromagnetic Problems

2008 ◽  
Vol 44 (6) ◽  
pp. 1330-1333 ◽  
Author(s):  
T.-S. Tran ◽  
G. Meunier ◽  
P. Labie ◽  
Y. Le Floch ◽  
J. Roudet ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electromagnetic Problems ◽  
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.

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