# 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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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.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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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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