摘要
讨论了三类不适定性问题的广义解．通过对反问题不适定性的分析，揭示了这样的事实，即试图通过有限且带有误差的测量数据，完全和精确地反演介质参数或源参数是不现实的，能够获得的只能是实际介质或源的某种近似，或者说对实际介质或源的不同模糊程度的“像”．不适定问题的广义解实质上就是这种模糊的“像”．
Ill-posed problems of three types and their generalized solutions are analyzed. It indicates that it is impossible to inverse medium or source of a wave accurately and completely through finite and inaccurate measure data. Only some approximation to medium or source of the wave can be obtained, which are called 'image' of medium or source in various degrees of blurring. The generalized solutions of ill-posed problems are the blurring 'image' in fact.
出处
《力学与实践》
CSCD
北大核心
2001年第3期43-45,共3页
Mechanics in Engineering
关键词
不适定
反问题
古典解
广义解
弹性动力学
ill-posed, inverse problem, classical solution, generalized solution
