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Geometric interpretation of finite‐dimensional eddy‐current formulations
Author(s) -
Trevisan F.,
Kettunen L.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1692
Subject(s) - eddy current , interpretation (philosophy) , finite element method , current (fluid) , tetrahedron , geometric modeling , software , geometric shape , computer science , element (criminal law) , mathematics , algorithm , geometry , engineering , structural engineering , electrical engineering , programming language , law , political science
This paper gives an explicit geometric interpretation of finite element formulations of the eddy‐current problem. The paper shows, step‐by‐step how the eddy‐current problem can be implemented in a finite element kind of software system exploiting familiar geometric ideas such as lengths of edges, areas of faces, volumes of tetrahedra, and the mutual interconnections between the simplices of a mesh. The approach is a specific case of the so‐called geometric techniques. Copyright © 2006 John Wiley & Sons, Ltd.
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