Higher order interpolatory vector bases on prism elements

Author

Graglia, Roberto D. ; Wilton, Donald R. ; Peterson, Andrew F. ; Gheorma, Ioan-Ludovic

Author_Institution

Dipt. di Elettronica, Politecnico di Torino, Italy

Volume

46

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

442

Lastpage

450

Abstract

Triangular prism elements are useful in numerical solutions of electromagnetic field problems since they permit a three-dimensional (3-D) geometry to be generated by the extrusion of a triangular mesh. Few applications have employed vector basis functions on prism elements and the extension to distorted prisms reported in the literature apparently does not ensure cell-to-cell continuity. In this paper, we define interpolatory higher order curl- and divergence-conforming vector basis functions of the Nedelec type on prism elements, with extension to curved prisms, and discuss their completeness properties. Vector bases of arbitrary polynomial order are given and various results to confirm the faster convergence of higher order functions are presented

Keywords

electromagnetic field theory; interpolation; mesh generation; Nedelec type vector basis functions; cell-to-cell continuity; completeness properties; convergence; curl-conforming vector basis functions; curved prisms; distorted prisms; divergence-conforming vector basis functions; electromagnetic field problems; higher order functions; higher order interpolatory vector bases; polynomial order; prism elements; triangular mesh; triangular prism elements; vector basis functions; Boundary conditions; Convergence; Electromagnetic fields; Finite element methods; Geometry; Integral equations; Mesh generation; Numerical analysis; Polynomials; Shape;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.662664

Filename

662664