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 :
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