Scattered Data Interpolation based on Dual Reciprocity Boundary Element Method with Unknown Boundary Conditions

A numerical method based on Dual Reciprocity Boundary Element Method (DRBEM) has presented to interpolate twodimensional data with arbitrary pattern. This method is performed without specific boundary conditions. It claimed that interpolation function is true on the Poisson equation with unknown source function. The source function is estimated by radial basis functions expansion. Finally, numerical sampling has conducted on some specific functions as primary functions and interpolation values of numerical sampling have compared to primary function values in order to evaluate accuracy and precision of the method.