A posteriori error estimate for adaptive finite element mesh generation

Author

Hahn, Song-Yop ; Calmels, C. ; Meunier, G. ; Coulomb, J.l.

Author_Institution

Dept. of Electr. Eng., Seoul Nat. Univ., South Korea

Volume

24

Issue

1

fYear

1988

fDate

1/1/1988 12:00:00 AM

Firstpage

315

Lastpage

317

Abstract

A method for deriving error estimates for adaptive mesh refinement is presented. It is based on the interelement boundary conditions, namely, the continuity of the normal components of the flux density and the tangential components of the magnetic field intensity. The elements that violate the conditions significantly are considered to have large local errors and are refined. Applications to magnetostatic problems involving Laplace´s equation with Dirichlet and Neumann boundary conditions in two-dimensional linear domains are presented. It is shown that an extremely high rate of convergence is obtained

Keywords

boundary-value problems; finite element analysis; magnetic fields; magnetostatics; Dirichlet; Laplace´s equation; Neumann; adaptive finite element mesh generation; convergence; error estimate; flux density; interelement boundary conditions; local errors; magnetic field intensity; magnetostatic problems; two-dimensional linear domains; Adaptive mesh refinement; Boundary conditions; Computer errors; Convergence of numerical methods; Electromagnetic fields; Error analysis; Finite element methods; Magnetic fields; Magnetic flux; Magnetic materials; Magnetostatics; Mesh generation; Refining;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.43920

Filename

43920