Title :
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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2012.2197634
