Isogeometric FEM Implementation of High-Order Surface Impedance Boundary Conditions

Author

Vazquez, Rafael ; Buffa, Annalisa ; Di Rienzo, Luca

Author_Institution

Ist. di Mat. Appl. e Tecnol. Inf., Pavia, Italy

Volume

50

Issue

6

fYear

2014

fDate

Jun-14

Firstpage

1

Lastpage

8

Abstract

High-order surface impedance boundary conditions are introduced in a 2-D variational formulation in terms of magnetic vector potential. The formulation is then discretized using the isogeometric analysis method, based on nonuniform rational B-splines, allowing an efficient computation of the curvature of the conductor surface. The formulation is validated through some test cases, already solved via the boundary element method.

Keywords

boundary-elements methods; finite element analysis; splines (mathematics); surface impedance; variational techniques; 2D variational formulation; boundary element method; conductor surface curvature; high-order surface impedance boundary conditions; isogeometric FEM implementation; isogeometric analysis method; magnetic vector potential; nonuniform rational B-splines; Boundary conditions; Conductors; Finite element analysis; Splines (mathematics); Surface reconstruction; Surface topography; Vectors; Eddy currents; NURBS; finite element methods; isogeometric analysis; nonuniform rational B-splines (NURBS); surface impedance;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2298435

Filename

6720146