Optimal discretization based refinement criteria for finite element adaption

Author

McFee, Steve ; Giannacopoulos, Dennis

Author_Institution

Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

1357

Lastpage

1360

Abstract

One of the major research issues in adaptive finite element analysis is the feedback control system used to guide the adaption. Essentially, one needs to resolve which error data to feedback after each iteration, and how to use it to initialize the next adaptive step. Variational aspects of optimal discretizations for scalar Poisson and Helmholtz systems are used to derive new refinement criteria for adaptive finite element solvers. They are shown to be effective and economical for h-, p- and hp-schemes

Keywords

Helmholtz equations; adaptive control; control systems; feedback; finite element analysis; optimisation; stochastic processes; adaptive finite element analysis; adaptive finite element solvers; error data; feedback control system; finite element adaption; h-schemes; hp-schemes; iteration; optimal discretization based refinement criteria; p-schemes; scalar Helmholtz systems; scalar Poisson systems; variational aspects; Adaptive control; Cost function; Councils; Error correction; Feedback control; Finite element methods; Laboratories; Polynomials; Position measurement; Programmable control;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497498

Filename

497498