A Radial Interpolation Meshless Methods with Point Polynomial Basis

摘要

Point interpolation method which bases on the basis function is a new meshless method. It solves the limitation of Point Interpolation Method (PIM), which coefficient matrix may be singular. In addition, the formulated shape function has the property of delta function, which is convenient to implement essential condition. This paper introduces Point Interpolation Method simply and presents the basis principle of radial point interpolation method, then gives some examples to show the advantages of Mfree methods: high efficiency and accuracy. So it becomes wide development in project.