三阶矢量有限元方法精确计算轴对称谐振腔高阶模

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

为了进一步提高数值求解谐振腔高阶模的精度,本文提出了三阶矢量有限元方法,并针对二阶矢量有限元轴对称谐振腔高阶模计算程序Cafe对曲线边界的计算能力较差和计算速度较慢的缺点做了改进.在这些改进的基础上编制了三阶矢量有限元轴对称谐振腔高阶模计算程序meshmatrix3,得到了很好的结果.

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 coded 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.