Polygonal finite elements

Author

Euler, Timo ; Schuhmann, Rolf ; Weiland, Thomas

Author_Institution

Inst. fur Theorie Elektromagnetischer Felder, Tech. Univ. Darmstadt

Volume

42

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

675

Lastpage

678

Abstract

A new class of finite element basis functions for arbitrary polygons is presented. The approximation spaces fulfill the same commuting properties as the standard Whitney approximation spaces. An example for the application of the new basis functions to a standard problem formulated with the finite integration technique (FIT) or the finite element method is given. The special choice of elements in the example suggests a rigorous implementation of subgridding in FIT/finite-difference time-domain schemes

Keywords

approximation theory; finite difference time-domain analysis; finite element analysis; FEM; FIT; Whitney forms; arbitrary polygons; finite element basis functions; finite element method; finite integration technique; finite-difference time-domain; polygonal finite elements; standard Whitney approximation spaces; Calculus; Electromagnetic analysis; Electromagnetic fields; Finite difference methods; Finite element methods; Geometry; Tellurium; Terminology; Time domain analysis; Two dimensional displays; Basis functions for polygons; Whitney forms; finite element method (FEM); finite integration technique (FIT); subgridding;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2006.871375

Filename

1608296