对于学生们百思不得其解的问题，他的办法是反问学生一系列问题，从而引导他们找到自己对于该问题的答案，这就是后来众所周知的“苏格拉底法”。
His method of asking his students a series of questions to lead them to their own answer to a question they are pondering has become known as the Socratic Method.
文中推导了用GR法进行震源反演的计算公式，并对震源反问题的特点及其与系数反问题的不同之处进行了分析。
This article derives the formulae for source inversion using GR method, and analyses both the property of source inverse problem and the difference between that and coefficient inverse problem.
本文给出了基于有限面积法的跨音速透平叶栅速度面反问题设计方法。
This paper deals with the inverse design problem of transonic turbine cascade in the hodograph plane by the finite area method.
反问题的解在正问题的基础上通过共轭梯度法最小化目标函数得到。
The inverse solution was obtained through minimizing the object function using CGM based on the direct problem.
地球物理反问题大部分是非线性问题，基于路径跟踪的同伦法是求解该类问题的有效方法。
Most of geophysical inversion are non-linear problems, the homotopy method based on path tracking is effective method for solving this kind of problems.
正问题采用间断有限元法求解，反问题的解则在正问题的基础上通过共轭梯度法得到。
The discontinuous finite element method is extended to solve the direct problem, and then the conjugate gradient method is used to solve the inverse problem by optimizing the objective function.
本文根据常微分方程参数反问题的数学理论，将正交化方法同有限差分法结合用于确定水质模型参数，并与正则化方法、最速下降法和共轭梯度法作了比较。
The comparison of the calculation results show that orthogonal rule method is fast, simple and reliable, and is applicable to the calculation of the water quality modeling parameters.
这一方法特别适合反问题的求解，当修改裂隙(或断层)的位置时，不需要修改剖分网格。
The method is very suitable for back analysis. When location of a fracture or fault is changed, it is not necessary to modify the grid.
因此许多学者提出了各种求解反问题的方法，比如脉冲谱方法，最佳摄动量法，蒙特卡罗方法，各种优化方法和正则化方法等。
So various methods are proposed by scholars to solve these problems, such as pulse spectrum method, the best perturbation method, Monte Carlo method, optimized and regularization method.
对于复杂结构的反问题，通常采用数值方法求解，如有限元法、有限差分法、边界元法等。
With regard to complicated inverse problems, numerical methods are always adopted to deal with them, such as finite element method, finite difference method and boundary element method.
本文在求解波动方程反问题的GR（梯度正则化法）方法基础上提出一种一维波动问题的分层反演方法。
The author puts forward the layer-by-layer inversion method for one-dimensional wave problem, which is based on the gradient regularization(GR)method for wave equation inversion.
因为边界元法仅利用边界量进行求解，故对于上述一类反问题分析有较大优势。
Boundary element method has a great advantage over others on the inverse problems above in that boundary element method works out the results only based on the boundary datum.
因为边界元法仅利用边界量进行求解，故对于上述一类反问题分析有较大优势。
Boundary element method has a great advantage over others on the inverse problems above in that boundary element method works out the results only based on the boundary datum.
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