Adaptive finite-element mesh generation for optimization problems

Author

Brandstätter, B. ; Decker, A. ; Ring, W.

Author_Institution

Inst. for Fundamentals & Theor. of Electr. Eng., Graz, Austria

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

1017

Lastpage

1020

Abstract

For several optimization problems, occurring in electrical engineering applications, an underlying field problem is treated by means of a finite-element scheme. The finite-element mesh has to be set up in such a way that the results attain a certain desired accuracy. However, in case of optimization problems, the criterion for mesh accuracy is not the largest error of the calculated field in the whole domain, but rather the error on the cost functional, which is going to be minimized. In this paper, a method for adaptive mesh generators, suitable for optimization problems, is presented, making use of Lagrange multiplier information

Keywords

finite element analysis; magnetostatics; mesh generation; optimisation; Lagrange multiplier; adaptive mesh generation; electrical engineering; finite element method; magnetostatic field; optimization; Adaptive mesh refinement; Constraint optimization; Cost function; Electrical engineering; Finite element methods; Lagrangian functions; Magnetic materials; Magnetostatics; Mesh generation; Optimization methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996261

Filename

996261