Y. Iwashita, ACCURACY OF EIGENVALUE OBTAINED WITH HYBRID ELEMENTS ON AXISYMMETRICAL DOMAINS, IEEE transactions on magnetics, 34(5), 1998, pp. 2543-2546
Eigenvalues of dipole modes in a cylindrical cavity and a spherical ca
vity were calculated with hybrid triangular elements assuming the sin
m theta and cos m theta dependencies of the field, and compared with t
heir analytical values. The elements are a combination of linear edge
elements for r- and z-components and quadratic nodal elements for the
azimuthal one. Because two out of eight degrees of freedom in the line
ar edge element are internal, they are often omitted. The 14-parameter
elements showed a quadratic convergence on mesh refinement, while the
12-parameter ones showed the linear rate like constant edge elements.