Reading Whitney and Finite Elements With Hindsight

Reading Whitney and Finite Elements With Hindsight

Maxwell laws and constitutive laws are different in nature and, consequently, they impose different requirements on the basis functions used in numerical techniques. We employ Whitney's framework to address these issues, and introduce a connection to the practice of finite elements exploiting W...

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Veröffentlicht in:IEEE transactions on magnetics 2007-04, Vol.43 (4), p.1157-1160
Hauptverfasser: Kangas, J., Tarhasaari, T., Kettunen, L.
Format: Artikel
Sprache:eng
Schlagworte:
Basis functions
Cross-disciplinary physics: materials science
rheology
Electromagnetic fields
Electromagnetic modeling
Exact sciences and technology
Finite element method
Finite element methods
Finite elements
Interpolation
Joints
Laws
Magnetism
Materials science
Mathematical analysis
Other topics in materials science
Physics
quasistatics
Whitney forms
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Beschreibung
Zusammenfassung:Maxwell laws and constitutive laws are different in nature and, consequently, they impose different requirements on the basis functions used in numerical techniques. We employ Whitney's framework to address these issues, and introduce a connection to the practice of finite elements exploiting Whitney forms, Mur's elements, and nodal elements as examples
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2007.892276