Application of Radial Point Interpolation Method to Temperature Field

A point interpolation which bases on the radial function is a new meshless method. It is advantageous over the original PIM with polynomial basis in avoiding singularity when shape functions are constructed. It is also easy to deal with essential boundary for its property of Kronecher Delta function. To verify it’s valid, this paper introduced the basic principle of RPIM. In addition, numerical example of heat conduction showed that the new methods possessed several advantages, such as high efficiency, high accuracy, and high stability. It is a promising method in physics