Title :
Hierarchical Curl-Conforming Nédélec Elements for Quadrilateral and Brick Cells
Author :
Graglia, Roberto D. ; Peterson, Andrew F.
Author_Institution :
Dipt. di Elettron., Politec. di Torino, Turin, Italy
Abstract :
New curl-conforming hierarchical vector basis functions are developed for quadrilateral and hexahedral cells. These bases are constructed from orthogonal polynomials and are shown to maintain superior linear independence as their polynomial order is increased. The procedure for constructing these basis functions is described and general expressions are provided for an arbitrary order.
Keywords :
Galerkin method; boundary integral equations; electromagnetic field theory; electromagnetic wave diffraction; electromagnetic wave scattering; polynomials; brick cell; curl-conforming hierarchical vector basis function; hexahedral cell; hierarchical curl-conforming Nedelec element; orthogonal polynomial; quadrilateral cell; Face; Jacobian matrices; Magnetics; Mathematical model; Polynomials; Three dimensional displays; Vectors; Basis functions; Galerkin method; boundary integral equations; curvilinear geometry; electromagnetic analysis; electromagnetic diffraction; electromagnetic scattering; high-order modeling; moment methods; numerical analysis;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2011.2158789
