摘要
点插值法是一种新型的无单元法,该方法克服了EFGM法中形函数计算复杂、本质边界不容易处理等问题。利用点插值构造试函数,加权残值法求出试函数中的系数,进而得到定解问题的数值解。该方法简化了试函数的选择,适用于岩土工程中的各种数值计算。
Point interpolation method(PIM) is a new meshless method. It overcomes the complex in calculating the shape function of EFGM, and the awkward in imposing essential boundary condition etc. PIM is applied to constructing trial function; the coefficients in trial function are obtained by the method of weighted residuals method, and therefore the numerical results of the boundary value problems are given. The method simplifies the procedure of the trial function choice, and could be used in numerical calculation in geotechnique engineering.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2003年第2期139-140,157,共3页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
宁夏自然科学基金项目(A1003)
关键词
无单元法
点插值法
最小二乘配点法
加权残值法
meshless method
point interpolation method
least-square collocation
weighted residuals method
