Polygonal finite elements

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 i...

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Veröffentlicht in:	IEEE transactions on magnetics 2006-04, Vol.42 (4), p.675-678
Hauptverfasser:	Euler, T., Schuhmann, R., Weiland, T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Basis functions Basis functions for polygons Calculus Cross-disciplinary physics: materials science rheology Electromagnetic analysis Electromagnetic fields Exact sciences and technology Finite difference method Finite difference methods Finite element method finite element method (FEM) Finite element methods finite integration technique (FIT) Geometry Magnetism Materials science Mathematical analysis Other topics in materials science Physics Polygons subgridding Tellurium Terminology Time domain analysis Two dimensional displays Whitney forms
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Beschreibung
Zusammenfassung:	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
ISSN:	0018-9464 1941-0069
DOI:	10.1109/TMAG.2006.871375