DocumentCode
1903778
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
fYear
2011
fDate
13-20 Aug. 2011
Firstpage
1
Lastpage
4
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;
fLanguage
English
Publisher
ieee
Conference_Titel
General Assembly and Scientific Symposium, 2011 XXXth URSI
Conference_Location
Istanbul
Print_ISBN
978-1-4244-5117-3
Type
conf
DOI
10.1109/URSIGASS.2011.6050256
Filename
6050256
Link To Document