求解2—D波动方程系数反问题的迭代方法及收敛性

本文针对地震勘探中提出一类重要的２－Ｄ波动方程反演问题，通过定义一个新的非线性算子将２－Ｄ波动方程的反演问题归结为一个新的非线性算子方程，详细讨论了非线性算子的性质，给出了求解反问题的迭代方法，并证明了这种迭代方法的收敛性。

The Iterative Method and its Convergence for Solving Coefficient Inverse Problem of 2-D Wave Equation

In this paper,a new nonlinear operator is defined such that the inverse problem of 2-D wave equation will be reduced to a new nonlinear operator equation, the properties of the nonlinear operator are in detail discussed,an iterative method is presented to solve nonlinear operator equation and the convergence of this iterative method is proved.