弹性动力学反问题的数值反演方法

NUMERICAL METHODS FOR INVERSE PROBLEMS IN ELASTIC DYNAMICS

系统介绍了弹性动力学反问题中各种数值反演方法，包括各种近似下的线性化反演方法；非线性迭代反演方法；确定性和非确定性搜索的优化反演方法；大范围收敛的同伦反演方法以及多尺度反演方法．阐述了各类反演方法的原理、特点、适用范围和存在的局限性，指出了数值反演方法进一步研究的方向．

The numerical methods for inverse problems in elastic dynamics are introduced in this paper. These methods include linear inverse methods under some approximation, non-linear iterative inverse methods in time domain or in frequency domain, optimizing method with deterministic or non-deterministic searching in the solution space, homotopy methods that converge in a large domain and multi-scale inverse methods composed of multigrid and wavelets. The principle, characteristics and limits of these methods are analyzed and the further research of numerical inverse methods in the future are discussed.