| 1. | Essential boundary condition
本质边界条件 |
| 2. | The modified collocation method was applied to satisfy the essential boundary conditions
采用修正配点法，以满足其本质边界条件。 |
| 3. | This is of disadvantage in efgm for it complicates the imposition of essential boundary conditions and the application of point loads
因此，本质边界条件的施加和集中载荷的处理变的复杂。 |
| 4. | The interpolation function has the delta function property , so the essential boundary conditions can be simply imposed
由于插值函数具有delta函数特点，因此可以很方便地施加本质边界条件。 |
| 5. | This is a disadvantage of efgm as it suffers from problems in the imposition of essential boundary conditions and the application of point loads . however , these do not disadvantage efgm significantly
由于移动最小二乘法的近似函数不一定精确地通过计算点，从而使本质边界条件的施加和集中载荷的处理变得复杂。 |
| 6. | Points interpolation method ( pim ) which is a new meshless method reduces the complexities in calculating the shape function of other meshless methods , and the hardness in dealing with the essential boundary conditions etc
摘要点插值法是一种新型的无网格法，它改善了其他无网格方法中形函数计算复杂、本质边界条件处理困难等问题。 |
| 7. | With the method , all integrals can be easily fulfilled on regular sub - domain boundaries , and to impose the essential boundary conditions , a penalty parameter can be used so that a positive definite and symmetric stiffness matrix may be obtained
计算中，积分都在规则形状边界子域上完成，因而容易实现；通过罚因子添加本质边界条件，从而使得到的刚度矩阵是正定对称矩阵。 |
| 8. | In fegm , the shape function is constructed by the moving least square ( mls ) approximation , the weak form of the equivalent integral equation to the governing equation is employed and essential boundary conditions are imposed by the penalty function method
它采用移动最小二乘法构造形函数，利用能量泛函的弱变分形式的积分方程，并用罚函数法施加本质边界条件，从而得到积分方程的数值解。 |
| 9. | However , because the meshless methods are relatively new , there exist the following technical problems : 1 . complexity in algorithms for computing the interpolation functions ; 2 . difficulties in the implementation of essential boundary conditions ; 3
本学位论文针对目前无单元发展中存在的主要技术问题：形函数计算；本质边界条件实现；影响域大小(包含其中的点数)的确定；辅助积分网格等问题进行了研究。 |
| 10. | In efgm , in order to get a numerical solution for a partial differential equation , the shape function is constructed by moving least squares ( mls ) , the control equation is derived from the weak form of variational equation and essential boundary conditions are imposed by penalty function method
它采用移动最小二乘法构造形函数，从能量泛函的弱变分形式中得到控制方程，并用罚函数法施加本质边界条件，从而得到偏微分方程的数值解。 |
