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求解瞬态涡流问题基于电场分解的有限元方法 被引量:1

An E-based Splitting Finite Element Method for Time-dependent Eddy Current Equations
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摘要 本文提出了求解瞬态涡流问题基于电场分解的有限元格式。此方法不仅更真实地模拟物理背景条件,而且其计算格式又是一种解耦的形式,它保证了有限元解的存在唯一性,同时又不会造成更多的计算复杂性。 A new decoupled finite element method is suggested to approximate time -dependent eddy current equations in a three - dimensional polyhedral domain. This method is based on solving a vector and a scalar from the splitting of the electric field by using edge and modal finite elements. An optimal energy -norm error estimate in finite time is obtained by introducing a projection operator.
作者 李建军 康彤
出处 《中国传媒大学学报(自然科学版)》 2006年第2期47-53,共7页 Journal of Communication University of China:Science and Technology
基金 教育部回国留学人员科研启动基金项目(JLJ0602)
关键词 瞬态涡流问题 电场分解的有限元格式 中心差分Crank—nicholson eddy current problem E - based splitting method C - N differece scheme edge and nodal elements error estimate.
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参考文献5

  • 1[1]Ciarlet P.The finite element method for elliptic problens[M].North-Holland,Amsterdam,1978.
  • 2[2]Ciarlet P,Zou J.Fully discrete finite element approaches for time-dependent Maxwell's equations[J].Numerische Mathematik,1999,82:193-219.
  • 3[3]Kang T and Kim K I.An E-based splitting method with a non-matching grid for eddy current equations with discontinuous coefficients[J].Appl Math Comp,2005,170:462-484.
  • 4[4]Kang T,Kim K I,Wu Z.An E-based splitting finite element method for time-dependent eddy current equations[J].Comp Appl Math,in press.
  • 5[5]J C Nédélec.Mixed finite elements in R3[J].Numer Math,1980,35:315-341.

同被引文献4

  • 1[1]P Ciarlet.The finite element method for elliptic problems[M].North-Holland,Amsterdam,1978.
  • 2[2]P Ciarlet,J Zou.Fully discrete finite element approaches for time-dependent Maxwell's epuations[J].Numerische Mathematik,1999(82):193-219.
  • 3[3]T Kang and K I Kim.An E-based splitting with a non-matching grid for eddy current equations with discontinuous coefficents[J].Appl Math Comp,2005(170):462-484.
  • 4[4]T Kang,K I,Kin Z Wu.An E-based splistting finite element method for time-dependent eddy current equatisons[J].J Comp Appl Math,2006(196):358-367.

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