Convergence analysis of non-conforming trigonometric finite wave elements (Q975678)

This paper is concerned with the convergence behavior of trigonometric finite wave elements. The authors are interested in trigonometric finite wave elements in case of a waveguide structure of the refractive index. In such a framework, the refractive index of the waveguide structure is influenced by gain and temperature. These physical effects lead to a small variation of the refractive index perpendicular to the wave propagation. Such properties are studied in the present paper. The authors also establish the convergence of the corresponding non-conforming discretization.