Accuracy of eigenvalue obtained with hybrid elements on axisymmetric domains

Y. Iwashita
1998 IEEE transactions on magnetics  
Eigenvalues of dipole modes in a cylindrical cavity and a spherical cavity were calculated with hybrid triangular elements assuming the sin mθ θ θ θ and cos mθ θ θ θ dependencies of the field, and compared with their analytical values. The elements are a combination of linear edge elements for r-and zcomponents and quadratic nodal elements for the azimuthal one. Because two out of eight degrees of freedom in the linear edge element are internal, they are often omitted. The 14parameter elements
more » ... parameter elements showed a quadratic convergence on mesh refinement, while the 12-parameter ones showed the linear rate like constant edge elements.
doi:10.1109/20.717586 fatcat:mqftnshtubee3hkldbjk6y72ye