A mixed–FEM and BEM coupling for a three-dimensional eddy current problem

Three-Dimensional Eddy Current Analysis

A boundary element method has been developed for the analysis of 3D eddy current problems. This method is based on the boundary integral equation formulation with equivalent electric and magnetic currents and electric charge as unknowns. Linear shape functions, defined parametrically over a quadrilateral element, have been selected for the Galerkin’s method.

An H-based FEM-BEM formulation for a time dependent eddy current problem

In applications related to electrical power engineering, the displacement current existing in a metallic conductor is negligible compared with the conduction current. In such situations, the displacement currents may be dropped from Maxwell’s equations and one obtains a magneto-quasistatic sub-model usually called the eddy current problem. The eddy current problem is generally posed in the whol...

FOSLL∗ Method for the Eddy Current Problem with Three-Dimensional Edge Singularities

In the case that the domain has reentrant edges, the standard finite element method loses its global accuracy because of singularities on the boundary. To overcome this difficulty, FOSLL* is applied in this paper. FOSLL* is a methodology for solving PDEs using the dual operator. Here, a modified FOSLL* method is developed that employs a partially weighted functional and allows the use of a stan...

An H-ψ formulation for the three-dimensional eddy current problem in laminated structures

* Corresponding author. E-mail addresses: [email protected] (P. Li), [email protected] (W. Zheng). 1 The research was supported in part by the NSF grants DMS-0914595, DMS-1042958, and DMS-1151308. 2 The research was supported in part by China NSF grants 11031006 and 11171334, by the Funds for Creative Research Groups of China (Grant No. 11021101), by the National Magnetic Confinement Fus...

Symmetric Coupling for Eddy Current Problems