DocumentCode
42555
Title
Hierarchical Bases for Polygonal Finite Elements
Author
Mukherjee, Tapabrata ; Webb, Jon P.
Author_Institution
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada
Volume
51
Issue
3
fYear
2015
fDate
Mar-15
Firstpage
1
Lastpage
4
Abstract
Finite elements that are the shape of an arbitrary polygon offer several advantages over traditional triangles and quadrilaterals. Elements with linear and quadratic precision have been reported, but they have interpolatory bases. Hierarchical bases are described here. Elements with up to cubic precision are tested and it is confirmed that they give the expected convergence as the mesh density is increased, even when the elements are reentrant polygons. A magnetostatic problem is solved with elements of different orders.
Keywords
convergence of numerical methods; finite element analysis; magnetostatics; convergence; hierarchical bases; magnetostatic problem; mesh density; polygonal finite elements; Assembly; Finite element analysis; Magnetic domains; Magnetostatics; Mathematical model; Shape; Standards; Computational electromagnetics; finite element (FE) analysis; magnetostatics;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2014.2345497
Filename
7093609
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