Time-harmonic mesh adaption with error estimate based on the “local field error” approach

Author

Alotto, Piergiorgio ; Girdinio, Paola ; Molfino, Paolo ; Nervi, Mario

Author_Institution

Dipt. di Ingegneria Elettrica, Genoa Univ., Italy

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1744

Lastpage

1747

Abstract

An implementation of a mesh adaption procedure for 2D “time-harmonic” solution, based on “h-refinement” criteria, using as error estimate the “local field error” approach, is presented. The error estimate is based on the solution, on an “element-by-element” basis, of an adjoint error problem cast in terms of magnetic induction. The “self-adapting” meshing procedure is iterative and is composed of a series of modules for the various functions. The electromagnetic problem is solved using the Esprit project MIDAS-2D “frequency domain” FEM solver. Some test cases at various frequencies are presented and results are discussed

Keywords

adaptive systems; electromagnetic induction; error analysis; finite element analysis; frequency-domain analysis; harmonic analysis; iterative methods; Esprit project MIDAS-2D; Helmholtz´s theorem; Maxwell´s equations; adjoint error problem; electromagnetic problem; error estimate; frequencies; frequency domain FEM solver; h-refinement criteria; iterative method; local field error; magnetic induction; modules; self-adapting meshing procedure; time-harmonic mesh adaption; Boundary conditions; Conducting materials; Conductivity; Current density; Geometry; Magnetic fields; Magnetic materials; Maxwell equations; State estimation; Steady-state;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582610

Filename

582610