Hybrid Vector-Scalar Finite Elements for Curved-Triangle Meshes Applied to the Study of Electromagnetic Resonances

High order vector-scalar finite elements for curved-triangle meshes are developed. These elements are applied to problems in which the variation of field along one coordinate is known. The field component along this coordinate is modeled with polynomials of degree q. The transverse component is modelled with 2-D vector edge elements containing all irrotational functions up to polynomial degree m. Only when q=m+ spurious modes are avoided. The performance of these elements to order 4 is explored by applying them to some structures containing sharp edges and/or curved boundaries.