3D order-reduced shell vector element for electromagnetic computation in thin structures

A novel kind of general 3D order-reduced shell vector element for electromagnetic computation in thin structure is presented in this paper. It´s derived from an order reduction of two-order hierarchical curved hexahedral vector element and can be easily applied to model thin structures with arbitrary shapes for saving computational effort. Two eigenvalue problems for rectangular cavities with different dielectric thin structures are solved; in which the thin structures are modeled by two-order hexahedra vector elements and the proposed shell vector elements respectively. The results show that applying the presented shell vector element to model the structure can not only achieve almost the same precision as hexahedral vector element, but also tremendously save unknowns roughly more than 51% under 6% relative error.