A new approach solving the interface error problem of finite element field calculation methods by means of fictitious interface current sheets or interface charges

Author

Reichert, K. ; Neubauer, R.E. ; Tarnhuvud, T.

Author_Institution

Dept. of Electr. Machines, Swiss Federal Inst. of Technol., Zurich, Switzerland

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1696

Lastpage

1699

Abstract

A method of improving the accuracy of potential finite-element formulations using interface error current sheets or charges at interelement boundaries is presented, including the procedures required for implementation. It is demonstrated that the compensation of the interface error in potential formulations of the finite-element methods by means of surface current sheets or charges in combination with error-oriented adaptive mesh refinement considerably improves the accuracy, reduces the effort, smooths the results, and requires only a few additional iterations (⩽4). The implementation of the method in standard 2-D finite-element programs is easy. The method is applicable to higher-order elements, 3-D problems, and electrostatic problems

Keywords

boundary-value problems; electromagnetic fields; electrostatics; finite element analysis; 2D finite element analysis; 3D problems; electrostatic problems; error-oriented adaptive mesh refinement; finite element field calculation methods; higher-order elements; interelement boundaries; interface charges; interface current sheets; interface error problem; Boundary conditions; Electromagnetic fields; Electromagnetic measurements; Equations; Finite element methods; Magnetic field measurement; Magnetic fields; Magnetic flux; Magnetic separation; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.124029

Filename

124029