New method for systematically constructing the space of the triangular mixed-edge element

The mixed-edge element which is developed in recent years is an effective method for eliminating the spurious solutions. A systematic construction method of the triangular mixed-edge element is proposed. As examples, explicit formulations of the interpolation functions for one- and two-order triangular mixed edge elements are given. The calculations of the dispersion curves for several guiding structure verify that the proposed mixed-edge element not only eliminates the spurious solutions, but also has higher computing efficiency. The comparison between two mixed-edge elements shows that the accuracy and convergence of the low-order mixed-edge element are clearly improved by using the high-order one.