Author(s)

Y. Ochiai

Abstract

This paper presents a multidimensional interpolation method and a numerical integration for bounded region by using boundary integral equations and a polyharmonic function. In the method using B-spline, points must be assigned in a gridiron layout. In the method presented in this paper using the polyharmonic function, arbitrary point can be assigned instead of using a gridiron layout, making interpolation an easy process. This method requires the use of the boundary geometry of the region and arbitrary internal points Values at an arbitrary point and the integral value are calculated after solving the discretized boundary integral equations. Numerical integration is obtained using this interpolation. In order to investigate the ef

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