THE SHAPE FUNCTIONS IN THE NATURAL ELEMENT METHOD BASED ON LASSERRE''''S ALGORITHM
基于Lasserre算法的自然单元法形函数计算

Based on Lasserre's algorithm for volume, the concrete calculating method for shape functions and their derivatives in two interpolation schemes are presented. The problems for cases where the calculation fails are discussed. Numerical simulations illustrate that the smoothness of the shape functions in Sibson interpolant and Laplace interpolant are different. The NEM shape functions vary linearly on convex boundary, so it is easy to impose essential boundary conditions exactly.