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1)  the essential boundary conditions
本征边界条件
1.
In EFGM,in order to get a numerical solution for a partial differential equation,shape function is constructed by Moving Least Square(MLS),control equation produced from the weak form of variational equation,this text discussed two meshless methods to enforce the essential boundary conditions.
本文讨论了无网格的两种处理本征边界条件的方法:拉格朗日乘子法和引入罚参数的方法。
2)  characteristic boundary conditions
特征边界条件
3)  essential boundary conditions
本质边界条件
1.
Comparison of the implementation of essential boundary conditions in elementfree method;
无网格法中本质边界条件处理的比较研究
2.
Based on variational principle for which bou ndary singular kernel met hod is proposed to impose essential boundary conditions, the 2D elastic stiffnes s equation of element free Galerkin method is obtained.
根据变分原理 ,采用边界奇异权方法满足本质边界条件 ,推导出二维弹性问题的无网格伽辽金方法的离散方程 ;通过在求解应力应变的过程中使用非奇异权函数 ,解决了奇异点上应力应变的计算问题 。
3.
Thus,it is a notorious problem to treat essential boundary conditions for element-free Galerkin method.
无网格伽辽金法中形函数一般不具有插值函数的特征,本质边界条件需特殊处理。
4)  essential boundary condition
本质边界条件
1.
In this paper, shape function is constructed by moving least square method(MLSM) , and punish method is used to satisfy essential boundary conditions.
本文中采用移动最小二乘法(MLSM)构造形函数,并利用罚函数法引入本质边界条件,通过算例讨论了无网格法中基向量的选取问题。
2.
It is difficult to settle essential boundary conditions in meshless method because the meshless approximation functions are not built by interpolation schemes.
无网格法中的近似函数大都不是插值函数,在处理本质边界条件时较为困难。
5)  boundary condition
边界条件
1.
Defining the turbulent mixing coefficient and the corresponding flux-boundary conditions for the dust diffusion equation;
ESP粉尘二维输运方程中紊流掺混系数及边界条件的确定
2.
Boundary conditions of finite difference time domain simulation in room acoustics;
室内声学时域有限差分模拟中的边界条件
3.
Sensitivity analysis on boundary conditions in numerical simulation of seepage flow through dam foundation;
闸坝地基渗流计算中边界条件敏感性分析研究
6)  boundary conditions
边界条件
1.
Influence of different boundary conditions and strain amplitudes on the structural internal friction of anisotropic laminated damped structures;
不同边界条件和应变振幅对各向异性层合阻尼结构内耗的影响
2.
Investigation of the inlet and outlet boundary conditions in numerical simulations of twin-screw extruders;
双螺杆挤出机流场数值模拟中流道进出口边界条件的探讨
3.
Handling the Boundary Conditions during Cooling in 3D Tanperauire Field Simulation in Low Pressure Die-casting;
低压铸造三维温度场的冷却边界条件处理
补充资料:本征函数和本征值
      算符弲作用于函数f(r)上, 得出另一个函数。若算符弲作用于一些特定的函数Ui(r)上(i=1,2,...)结果等于一常量乘同一函数,即,
  则常数Fi称为算符弲的本征值,ui(V)称为属于这个本征值的本征函数。上式称为算符弲的本征值方程。
  
  在量子力学中,一个力学量所可能取的数值,就是它的算符的全部本征值。本征函数所描写的状态称为这个算符的本征态。在自己的本征态中,这个力学量取确定值,即这个本征态所属的本征值。
  

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