TY  - EJOU
AU  - Ochiai, Yoshihiro  
AU  - Sladek, Vladimir  

TI  - Numerical Treatment of Domain Integrals without Internal Cells in Three-Dimensional BIEM Formulations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2004
VL  - 6
IS  - 6
SN  - 1526-1506

AB  - The conventional boundary element method (BEM) uses internal cells for the domain integralsCwhen solving nonlinear problems or problems with domain effects. This paper is concerned with conversion of the domain integral into boundary ones and some non-integral terms in a three-dimensional BIEM, which does not require the use of internal cells. This method uses arbitrary internal points instead of internal cells. The method is based on a three-dimensional interpolation method in this paper by using a polyharmonic function with volume distribution. In view of this interpolation method, the three-dimensional numerical integration is replaced by boundary ones and preceding calculation of some boundary densities and interior unknowns. The domain discretizetion procedure is completely eliminated. In order to investigate the efficiency of this method, several numerical examples are given.
KW  - Boundary Element Method
KW  -  Domain integrals
KW  -  Heat Conduction
KW  -  Interpolation
KW  -  Polyharmonic functions
KW  -  Multiple-Reciprocity Method

DO  - 10.3970/cmes.2004.006.525