DocumentCode
953285
Title
A flexible local approximation method for electro- and magnetostatics
Author
Tsukerman, Igor
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Akron, OH, USA
Volume
40
Issue
2
fYear
2004
fDate
3/1/2004 12:00:00 AM
Firstpage
941
Lastpage
944
Abstract
A new framework for constructing variational-difference schemes with arbitrary local approximating functions is proposed. The key concept is multivalued approximation on a system of overlapping "patches," with continuity of the solution imposed only at grid nodes. In particular, curved material interfaces can be represented on regular geometrically nonconforming grids by special local approximating functions. Problems with spherical particles are considered as an example.
Keywords
approximation theory; electrostatics; magnetostatics; arbitrary local approximating functions; curved material interfaces; electrostatics; flexible local approximation method; generalized finite-element method; geometrically nonconforming grids; grid nodes; magnetostatics; multiparticle problems; multivalued approximation; overlapping patches; variational-difference schemes; Approximation methods; Boundary conditions; Conducting materials; Conductivity; Finite element methods; Fires; Helium; Magnetic materials; Magnetostatics; Permittivity;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2004.824719
Filename
1284570
Link To Document