Quasi-Mixed-Order Prism Basis Functions for Nyström-Based Volume Integral Equations

Author

Young, John C. ; Gedney, Stephen D. ; Adams, Robert J.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA

Volume

48

Issue

10

fYear

2012

Firstpage

2560

Lastpage

2566

Abstract

Quasi-mixed order prism basis functions for use in Nyström discretizations of volume integral equations are presented. The prism basis function set is easily mixed with other basis function sets such as those defined on hexahedra and tetrahedra. The prism basis functions are applied to solve a magnetostatic volume integral equation for the analysis of magnetic materials. Analytic results for canonical problems are used to corroborate the basis function set and convergence and error data are discussed.

Keywords

convergence; error analysis; integral equations; magnetostatics; Nystrom discretizations; Nystrom-based volume integral equations; canonical problems; convergence; error data; magnetic material analysis; magnetostatic volume integral equation; prism basis function set; quasimixed-order prism basis functions; Convergence; Integral equations; Magnetic flux; Magnetostatics; Manganese; Polynomials; Vectors; Integral equation methods; locally corrected Nyström method; magnetostatics; prism-basis functions;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2012.2197634

Filename

6194332