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涡流问题基于C-N差分格式的有限元耦合算法

A Finite Element Coupled Algorithm Based on C-N Differential Scheme for Eddy Current Problem
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摘要 基于势的全离散有限元法常用于解决三维凸有界多边形区域的瞬时涡流问题。本文采用A-法的全离散Crank-Nicholson格式耦合算法,给出能量模误差估计下其解的存在唯一性,并通过TEAM Workshop问题7的数值结果,验证此算法的有效性。 Fully discrete potential-based finite element methods called A- methods are used to solve a transient eddy current problem in a three-dimensional convex bounded polyhedron.Using A- methods,fully discrete coupled Crank-Nicholson numerical scheme is developed.The existence and uniqueness of solution for this scheme together with the energy-norm error estimates are provided.To verify the validity of this scheme,some computer simulations are performed for the model from TEAM Workshop Problem 7.
出处 《中国传媒大学学报(自然科学版)》 2011年第4期42-50,共9页 Journal of Communication University of China:Science and Technology
基金 河南理工大学2010年度青年基金(Q2010-45)
关键词 瞬时涡流问题 有限元法 Crank-Nicholson格式 基于势 误差估计. transient eddy current problem finite element method crank-nicholson scheme potential-based error estimate
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参考文献9

  • 1Kang T,Kim K I. Fully discrete coupled potential - based finite element methods for a transient eddy current problem [ J ]. Computing, 2009,85 : 339 - 362.
  • 2Albanese R, Rubinacci G. Formulation of the eddy - current problem [ J]. Ieee Proc, 1990,137 : 16 - 22.
  • 3Biro O, Preis K. On the use of the magnetic vector potential in the finite element analysis of three - dimensional eddy currents[ J]. IEEE Trans Magn, 1989,25:3145 - 3159.
  • 4Bossavit A. The computation of eddy - currents in dimension 3 by using mixed finite elements and boundary ele- ments in association [ J ]. Comput Model, 1991,15 : 33 - 42.
  • 5Ciarlet P. The finite element method for elliptic problems[ M ]. North -Holland, Amsterdam.
  • 6Ciarlet P, Zou J. Fully discrete finite element approaches for time -dependent Maxwell' s equations [ J]. Numer- ische Mathematik, 1999,82 : 193 - 219.
  • 7Hiptmair R. Symmetric coupling for eddy current problems [ J ]. SIAM J Numer Anal 2002,40:41 -65.
  • 8Kim K I, Kang T. A potential - based finite element method of time - dependent Maxwell' s equations [ J ]. Int J Computer Math ,2006,83 : 107 - 122.
  • 9Rodriguez A, Hiptmair R, Valli A. Mixed finite element approximation of eddy current problem [ J ]. IMA J Numer Anal,2004,24:255 - 271.

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