Title :
Hierarchical and conforming Nédélec elements for surface and volumetric cells
Author :
Graglia, Roberto D. ; Peterson, Andrew F.
Author_Institution :
Dipt. di Elettron., Politec. di Torino, Torino, Italy
Abstract :
New families of hierarchical curl and divergence-conforming vector bases for the most commonly used two- and three-dimensional cells are directly constructed from orthogonal scalar polynomials to enhance their linear independence, which is a simpler process than an orthogonalization applied to the final vector functions. These functions span the mixed-order (or reduced) spaces of Nédélec and can be used to deal with structures meshed by a mixture of cells of different geometry.
Keywords :
computational electromagnetics; polynomials; vectors; Nedelec elements; divergence-conforming vector; hierarchical curl; linear independence; mixed-order spaces; orthogonal scalar polynomials; reduced spaces; surface cells; three-dimensional cells; two-dimensional cells; vector functions; volumetric cells; Antennas; Electromagnetics; Face; Geometry; Polynomials; Vectors;
Conference_Titel :
General Assembly and Scientific Symposium, 2011 XXXth URSI
Conference_Location :
Istanbul
Print_ISBN :
978-1-4244-5117-3
DOI :
10.1109/URSIGASS.2011.6050256