Journal of University of Chinese Academy of Sciences >
Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials
Received date: 2002-04-22
Revised date: 2002-09-30
Online published: 2003-05-10
The A-φmethod by means of finite element approximation has been applied far and wide in the quasi-magnetostatic eddy current computation in the last two decades.However, the literature on the error estimates of this method can not be found so far yet.This provides a convergence analysis of A-φmethod for 3D eddy-current problems based on ungauged potentials by means of finite element approximation.Error estimates of the proposed method are given under the appropriate regular conditions.
MA ChangFeng , LIANG GuoPing . Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials[J]. Journal of University of Chinese Academy of Sciences, 2003 , 20(3) : 296 -304 . DOI: 10.7523/j.issn.2095-6134.2003.3.006
[1] O Biro,K Preis.On the use of the magnet ic vector pot ential in the finite element analysis of 3-D eddy current s.IEEE Trans onMagnetics, 1989,25(4)
[2] R Albanese,G Rubinacci.Formulation of the eddy-current problem.IEE Proceedings, A, 1990, 137(1):16 ～ 22
[3] O Bi ro, K Preis.Finite element analysis of 3-D eddy currents.IEEE TransMagn, 1990, 26:418 ～ 423
[4] D Rodger, J F Eastham.Multiply connected regions in the A-ψthree-dimensional eddycurrent formulation.IEE Proc, A, 1987,134:58 ～ 66
[5] H Karayama, D Tagami,M Saito, F Kikuchi.A f inite element analysis of 3-D eddy current problems using an iterative method.Trans JSCES, 20000033
[6] V Girault, P A Raviart.Fini te Element Method for Navier-Stokes equations.Springer Ser Comput Math 5,New York:Springer-Verlag, Berlin, 1986
[7] J T Oden, J N Reddy.An Introduction to The Mathemati cal Theory of Finite Elements.New-York :Wi ley, 1974
[8] A Quarteroni,A Val li.Numerical Approximation of Partial Differential Equations, Springer Series in Computat ional Mathematics.23 Springer-Verlag,1994
[9] P G Ciarlet.The Fini te Element Method for Elliptic Problems.North-Hollang, Amsterdam, 1978
[10] A Quarteroni, A Valli.Numerical approximation of partial differential equations.Berlin:Springer-Verlag,1994
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