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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2014.2345497
