A-φ approaches of an eddy current problem based on solving certain potentials

Authors:
Tong Kang;Kwang Ik Kim
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2006

Citing 4
Cited 0

A justification of eddy currents model for the Maxwell equations

SIAM Journal on Applied Mathematics
Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients

SIAM Journal on Numerical Analysis
Symmetric Coupling for Eddy Current Problems

SIAM Journal on Numerical Analysis
The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association

Mathematical and Computer Modelling: An International Journal

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Abstract

In this paper, we propose novel finite element A - φ approaches to realize the approximation of a three-dimensional eddy current problem in a bounded domain containing a simply-connected conductor region where the eddy current is formed. These algorithms are based on solving a vector potential in the whole domain by using the edge finite-element method and a local scalar potential only in the conductor region by using the nodal finite-element method. Further, error estimates for coupled and decoupled A - φ schemes are given.