Hierarchical Vector Bases for Pyramid Cells

This presentation summarizes a very simple and straightforward new procedure to build hierarchical vector bases for the pyramid that conform to those used on adjacent differently shaped cells (tetrahedra, hexahedron and triangular prisms). Our new curl- and divergence-conforming bases, together with the corresponding curls and divergences, have simple and easy to implement mathematical expressions. Results confirming faster convergence and avoidance of spurious modes/solutions will be reported at the conference

Surface integral equation method for sharp edge structures with junctions

Complex scattering targets contain metallic structures with junctions and sharp edges that require a special procedure to be analyzed by the Method of Moments. Singular basis functions to mdel junctions with edge profile connected together are considered. At the Conference, we will show how to handle the different geometrical cases together with numerical results that validate the proposed metho

Curl-Conforming Vector Bases for Hybrid Meshes: A New Paradigm for Pyramid Elements

A simple procedure for obtaining hierarchical curlconforming pyramid bases has been obtained by shifting to a new paradigm that requires the mapping of the pyramidal cell into a cube and then directly imposing the conformity of the vector bases with those used on adjacent differently shaped cells (tetrahedra, hexahedra and triangular prisms). This summary discusses and generalizes some features of the new construction method recently published elsewhere

Singular vector expansion functions for finite methods

This paper describes the fundamental properties of new singular vector bases that incorporate the edge conditions in curved triangular elements. The bases are fully compatible with the interpolatory or hierarchical high-order regular vector bases used in adjacent elements. Several numerical results confirm the faster convergence of these bases on wedge problems and the capability to model regular fields when the singularity is not excited

Cylindrical resonators partially filled with a DNG metamaterial sector

A metallic cylindrical resonator partially filled with double-negative (DNG) metamaterial with sector shape is analyzed in the frequency domain. The remaining part of the resonator is filled by a double-positive (DPS) medium. The structure results in a cylindrical resonator of finite length with a metamaterial wedge whose edge is on the cylinder axis. A line source excitation located in the DPS region is applied to investigate the properties of the structure by exciting the compatible modes of the structure. An exact analytical solution is obtained