Title :
Discrete constitutive equations in A-χ geometric eddy-current formulation
Author :
Specogna, Ruben ; Trevisan, Francesco
Author_Institution :
Dipt. di Ingegneria Elettrica, Udine Univ., Italy
fDate :
4/1/2005 12:00:00 AM
Abstract :
Using a geometric formulation for eddy currents, we present a geometric approach to constructing approximations of the discrete magnetic and Ohm´s constitutive matrices. In the case of Ohm´s matrix, we also show how to make it symmetric. We compared the impact on the solution of the proposed Ohm´s matrices, and an iterative technique to obtain a consistent right-hand-side term in the final system is described.
Keywords :
eddy currents; iterative methods; matrix algebra; Ohm constitutive matrices; cell complexes; cell method; discrete constitutive equations; discrete magnetic matrices; eddy currents; geometric formulation; iterative technique; Benchmark testing; Conductors; Convergence of numerical methods; Differential algebraic equations; Eddy currents; Finite element methods; Geometry; Helium; Nondestructive testing; Symmetric matrices; Cell complexes; cell method; constitutive matrices; eddy currents;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2005.844841