摘要
无单元法的理论基础是滑动最小二乘法,即是将计算场域离散成若干个点,由滑动最小二乘法来拟合函数,从而摆脱了单元的限制.但无单元法自身特性决定了其在强加边界条件处理方面存在一定困难,通过对无单元方法中强加边界条件的几种处理方法进行比较研究,认为用罚函数法处理强加边界条件是一种比较好的方法.
Based on moving least-squares (MLS) interpolates, an element-free method (EFM) requires only nodes and a description of the external and internal boundaries and interfaces of the model, not that of element connectivity. Therefore, EFM is completely meshless method. However, the boundary conditions are very difficult to impose, since the shape functions are usually not interpolating. This paper provides several answers to this issue, compares several methods in dealing with boundary conditions, and lastly draws a conclusion, which the penalty function method is good methods in dealing with boundary conditions.
出处
《河北工业大学学报》
CAS
2003年第1期18-21,共4页
Journal of Hebei University of Technology
基金
河北省自然科学基金资助项目(599017)
