Accurate computation on high order modes of axial-symmetric cavity with the third order vector finite-element method

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. (authors)