Enforce essential boundary conditions using lagrange multipliers 用拉氏乘子加强本征边界条件。
Essential boundary condition 本质边界条件
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。
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。
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。
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。
A series of examples illustrates the excellent performance of the techniques . in addition , two difficulties in efg , treating essential boundary conditions and approximations near nonconvex boundaries , are discussed 另外,本文还讨论了无单元法中的两个难点:边界条件的引入以及非凸边界的处理,较好的解决了这两个问题。
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。
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。
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。