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›› 2003, Vol. 20 ›› Issue (3): 296-304.DOI: 10.7523/j.issn.2095-6134.2003.3.006

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Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials

MA ChangFeng1,2, LIANG GuoPing2   

  1. 1. Dept. of Computational Science Applid Physics, Guilin Institute of Electronic Technalogy, Guilin 541004, China;
    2. Institute of Mathematics, Academy of Mathematics System Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2002-04-22 Revised:2002-09-30 Online:2003-05-10

Abstract:

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.

Key words: eddy-current problem, A-φmethod, finite element approximations, ungauged potentials, errorestimates

CLC Number: