ON THE COMPATIBILITY OF FINITE ELEMENT‐BOUNDARY ELEMENT COUPLING IN FIELD PROBLEMS

Yukio KAGAWA (Department of Electrical Engineering, National University Toyama, Takaoka, Toyama 933, Japan)
Tadakuni MURAI (Department of Electrical Engineering, National University Toyama, Takaoka, Toyama 933, Japan)
Shinji KITAGAMI (Department of Electrical Engineering, National University Toyama, Takaoka, Toyama 933, Japan)

Abstract

A technique combining finite elements and boundary elements is promising for unbounded field problems. A hypothetical boundary is assumed in the unbounded domain, and the usual finite element method is applied to the inner region, while the boundary element method is applied to the outer infinite region. On the coupling boundary, therefore, both potential and flux must be compatible. In the finite element method, the flux is defined as the derivative of the potential for which a trial function is defined. In the boundary element method, on the other hand, the same polynomial function is chosen for the potential and the flux. Thus, the compatibility cannot be satisfied unless a special device is considered. In the present paper, several compatibility conditions are discussed concerning the total flux or energy flow continuity across the coupling boundary. Some numerical examples of Poisson and Helmholtz problems are demonstrated.

Citation

KAGAWA, Y., MURAI, T. and KITAGAMI, S. (1982), "ON THE COMPATIBILITY OF FINITE ELEMENT‐BOUNDARY ELEMENT COUPLING IN FIELD PROBLEMS", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 1 No. 4, pp. 197-217. https://doi.org/10.1108/eb009972

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MCB UP Ltd

Copyright © 1982, MCB UP Limited

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