Application of the LU Recombination Method to the FETI-DP Method for Solving Low-Frequency Multiscale Electromagnetic Problems

2013 ◽  
Vol 49 (10) ◽  
pp. 5346-5355
Author(s):  
Wang Yao ◽  
Jian-Ming Jin ◽  
Philip T. Krein
Keyword(s):  
Low Frequency ◽  
Electromagnetic Problems

scholarly journals The Hybrid FEM-DBCI for the Solution of Open-Boundary Low-Frequency Problems

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1968
Author(s):  
Giovanni Aiello ◽  
Salvatore Alfonzetti ◽  
Santi Agatino Rizzo ◽  
Nunzio Salerno
Keyword(s):  
Integral Equation ◽  
Eddy Currents ◽  
Computing Time ◽  
Low Frequency ◽  
Dirichlet Condition ◽  
Open Boundary ◽  
Coordinate Transformations ◽  
External Layer ◽  
Electromagnetic Problems ◽  
Electrostatic Fields

This paper describes a particular use of the hybrid FEM-DBCI, for the computation of low-frequency electromagnetic fields in open-boundary domains. Once the unbounded free space enclosing the system has been truncated, the FEM is applied to the bounded domain thus obtained, assuming an unknown Dirichlet condition on the truncation boundary. An integral equation is used to express this boundary condition in which the integration surface is selected in the middle of the most external layer of finite elements, very close to the truncation boundary, so that the integral equation becomes quasi-singular. The method is described for the computation of electrostatic fields in 3D and of eddy currents in 2D, but it is also applicable to the solution of other kinds of electromagnetic problems. Comparisons are made with other methods, concluding that FEM-DBCI is competitive with the well-known FEM-BEM and coordinate transformations for what concerns accuracy and computing time.

scholarly journals The Finite Volume Method an Alternative Method for LF Electromagnetic Problems

2020 ◽  
Vol 22 (4-5) ◽  
pp. 301-311
Author(s):  
Riad Benghalia ◽  
Ahmed Cheriet ◽  
Ishaq Amrani
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Eddy Current ◽  
Low Frequency ◽  
Electromagnetic Actuators ◽  
Electromagnetic Problems ◽  
Simulation Tools ◽  
Alternative Method ◽  
Fem Method ◽  
Volume Method

Currently, many simulation tools based on numerical methods are available for modelling of low frequency electromagnetic problems such as eddy current related problems, electrical machines and electromagnetic actuators analysis. Commonly, it’s the finite element method (FEM) which is used; nevertheless, the exploit of other numerical approaches, such as the finite volume method (FVM) can be strongly promising. Accordingly, the main purpose of this paper is to present the FVM method as an alternative method for low frequency electromagnetic problems. Thus, 2D and 3D FVM computer codes are developed and examined through the analysis of two TEAM workshop problems and an experimental electromagnetic micro-actuator. These types of problems are habitually analyzed by the FEM method. By using the FVM method, the solution of the above listed problems includes eddy current, torque and magnetic force computation.

Application of Dirichlet-to-Neumann Map Boundary Condition for Low-Frequency Electromagnetic Problems

2020 ◽  
Vol 56 (11) ◽  
pp. 1-8
Author(s):  
Anton Efremov ◽  
Salvatore Ventre ◽  
Lalita Udpa ◽  
Antonello Tamburrino
Keyword(s):  
Boundary Condition ◽  
Low Frequency ◽  
Electromagnetic Problems ◽  
Dirichlet To Neumann Map
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