Accurate Computation on High Order Modes of Axial-symmetric Cavity with The Third Order Vector Finite-Element Method

  • In this paper, the third order vector finite-element method is presented which achieves remarkable improvement on the precision of numerical computation for high order modes of RF cavities. Compared with Cafe , which is a numerical computing program for high order modes of axial-symmetric cavities employing the second order vector finite-element method, our method is quicker and more precise in computing curve boundaries. Thus the program meshmatrix3 is obtained for computing high order modes of axial-symmetric cavities with the third order vector finite-element method. It is shown that our meshmatrix3 works satisfyingly.
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  • [1] . ZHAN Xiao-Wei .Transverse Wakefield Analysis for the NLCJLC De-tuned Structures on a Parallel Computer. In: National Accelerator Facilityed. Computat ional Accelerator Physics. Virginia: Williamsburg Press,1997.2. WEI Shi , LIN Yu-Zheng. HEPNP, 2001, 25 (10) : 1017 -1021(in Chinese)(韦石,林郁正.高能物理与核物理,2001,25(10):1017-1021)3. Eric Michael Nelson. High Accuracy Electromagnetic Field Solvers for Cylindrical Waveguides and Axisymmet ric Structures Using the Finit eElement Method: SLAC-R-431. Stanford University, 19934. YANG Shao-Qi. Sparse Matrices Algorithm and Programming. Beijing:Higher Educat ion Press, 1985(in Chinese)(杨绍祺.稀疏矩阵算法及程序实现.北京:高等教育出版社,1985)5. Roger G Grimes, John G Lewis, Horst D Simon. Siam J. Matrix Anal.Appl . , 1994, 15(1) : 1 - 45
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CAO Liang and HUANG Wen-Hui. Accurate Computation on High Order Modes of Axial-symmetric Cavity with The Third Order Vector Finite-Element Method[J]. Chinese Physics C, 2005, 29(8): 793-796.
CAO Liang and HUANG Wen-Hui. Accurate Computation on High Order Modes of Axial-symmetric Cavity with The Third Order Vector Finite-Element Method[J]. Chinese Physics C, 2005, 29(8): 793-796. shu
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Received: 2004-12-24
Revised: 1900-01-01
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Accurate Computation on High Order Modes of Axial-symmetric Cavity with The Third Order Vector Finite-Element Method

    Corresponding author: CAO Liang,
  • Department of Engineering Physics,Tsinghua University,Beijing 100084,China2 Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China

Abstract: In this paper, the third order vector finite-element method is presented which achieves remarkable improvement on the precision of numerical computation for high order modes of RF cavities. Compared with Cafe , which is a numerical computing program for high order modes of axial-symmetric cavities employing the second order vector finite-element method, our method is quicker and more precise in computing curve boundaries. Thus the program meshmatrix3 is obtained for computing high order modes of axial-symmetric cavities with the third order vector finite-element method. It is shown that our meshmatrix3 works satisfyingly.

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