本文给出了复杂边界条件下任意形状板的自由振动分析的一个新的解析解法。
This paper gives a new analytical solution of the free vibration of an arbitrary-shaped plate with complex boundary conditions.
本文对边界积分方程中所存在的超奇异积分的数值解法作了综述，并介绍了它的一些应用。
In this paper numerical solution methods of hypersingular integrals in boundary integral equation have been summarized together with some of their applications.
在波动方程的经典解法中，初始条件与边界条件都要充分光滑，介质系数也不能出现间断。
In the classic solution of wave equation, it is required that the initial and boundary conditions should be smooth enough and any discontinuities are not allowed in medium coefficients.
这种解法在边界条件复杂、物理性质可变、温度梯度巨大……等情况时特别有用。
It seems to be particular useful for the solution of those problems where complex boundary conditions, variable physical properties, large temperature gradients etc. are concerned.
提出一种计算具有齐次边界条件的旋转薄壳的特征值和特征函数的精确解法。
A new exact solution is developed which enables to determine the free vibration characteristics of toroidal thin shell with homogeneous boundary conditions.
在正演方面，着重分析了有限元正演方法的基本方程序，边界条件以及二维大地电磁场的有限元解法。
As to forward, emphasis is on analyzing basic equations, boundary conditions and finite-element solutions for magnetotelluric field in two dimension of finite-element forward method.
文中重点讨论了具有工程实用价值的引入了透射边界的频域有限元解法。
Emphasis in the discussion is put on presentation of finite element method in frequency domain, in which transmitting boundary has been adopted.
本文对多边形厚板弯曲问题，提出了一种新的简单的边界元解法。
In this paper a new simple boundary element method for solving polygonal thick plate bending problems is proposed.
由于边界元法是半解析半数值解法。在解边界积分方程时会遇到解的存在与唯一性问题。
Because the boundary element method is half analytical and half numerical, there exist the problems of the existence and uniqueness of the solutions.
求出了薄板稳定换热方程的基本解并论述了这类问题的边界元解法。
Fundamental solutions to steady heat transfer equation of thin plates are derived and the formulation of boundary element method is described.
本文提出了在规则边界条件下，求解三维泊松方程的一种解析解法。
A kind of analytics for solving three-dimensional Poisson equation on the normal boundary condition has been put forward in this paper.
而通过搜索边界映射点的方法，可以得出一种求解映射函数表达式系数的新解法。
A new method for calculating mapping function is put forward by means of searching mapped points on the boundary of underground cavern.
这种解法在边界条件复杂、物理性质可变、温度梯度巨大……等情况时特别有用。
It seems to be particular useful for the solution of those problems where complex boundary conditions, variable physical properties, large temperature...
这种解法在边界条件复杂、物理性质可变、温度梯度巨大……等情况时特别有用。
It seems to be particular useful for the solution of those problems where complex boundary conditions, variable physical properties, large temper...
用积分算子求解法 ，得到了具有反射边界条件的、含控制参数的抽象动力方程边值问题的解。
The conclusion derived from the comparison between the two methods is useful to the integral operator solution.
用积分算子求解法 ，得到了具有反射边界条件的、含控制参数的抽象动力方程边值问题的解。
The conclusion derived from the comparison between the two methods is useful to the integral operator solution.
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