TY  - JOUR
AB  - 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.
VL  - 1
IS  - 4
SN  - 0332-1649
DO  - 10.1108/eb009972
UR  - https://doi.org/10.1108/eb009972
AU  - KAGAWA Yukio
AU  - MURAI Tadakuni
AU  - KITAGAMI Shinji
PY  - 1982
Y1  - 1982/01/01
TI  - ON THE COMPATIBILITY OF FINITE ELEMENT‐BOUNDARY ELEMENT COUPLING IN FIELD PROBLEMS
T2  - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB  - MCB UP Ltd
SP  - 197
EP  - 217
Y2  - 2024/04/25
ER  -