二维电场的无单元数值解法

Element-Free Method Applied to 2D Electrical FieldNumerical Calculation

无单元法的突出特点是可以求解复杂边界条件的边值问题，它可以根据场分布的特性布置随机节点，只需节点信息，无需单元信息，解决了有限元方法中前处理困难的问题，它的理论基础是滑动最小二乘法．其基本思想是将计算场域离散成若干个点，由滑动最小二乘法来拟令场函数，从而摆脱了单元的限制．同时，它保留了有限元的一些特点，克服了有限元的某些不足，具有精度高、计算速度快的特点．

Based on moving least-squares (MLS) interpolates, an element-free method (EFM) whichis applicable to arbitrary shapes but requires only nodal data Even more Exciting are its potential in adaptivemethods, where in an interactive mode a user could simply drop large number of points into the portion of acomponent where he would like more accuracy and the method would precede to enhance the solution withoutconstructing a new finite element mesh Therefore;the method simplifies pre-processing and can solve problemswith higher accumcy Contrast to Finite Element Method (FEM), the Element-Free Method is advanced whichbrings the advantages of FEM into EFM simultaneously .