ABSTRACT
Wavefield inversion is a subject that has been carefully studied by R.E. Kleinman. Some of his investigations have been carried out with the authors and their colleagues. In particular, two solution algorithms (complete family and binary-specialized modified gradient) for the retrieval of scatterers buried in a layered embedding will be examined here. But the main purpose of this contribution is to illustrate the lasting impact of his work in this demanding field both at theoretical and numerical levels, and in so doing to sketch some challenging issues to be addressed in the spirit of Kleinman’s work, which is to “accelerate the transition from mathematical model to practical numerical solution” [1].
