Title :
A flexible local approximation method for electro- and magnetostatics
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Akron, OH, USA
fDate :
3/1/2004 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2004.824719
