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The generalized impedance boundary conditions (GIBC's) are used to model obstacles with corrugated surfaces or obstacles with a thin layer of coating and they are often employed in simplifying the analytical solutions or reducing the cost of numerical computations for problems involving complex structures.

We consider the reconstruction of surface impedance functions of a sound-soft three-dimensional obstacle coated with a thin layer of a penetrable material from few far field data at a fixed frequency.  The technique  we present is based on an iteratively regularized Newton-type method, which combines ideas of both iterative and decomposition methods. Employing a boundary integral equation approach the inverse problem is proved to be equivalent to a system of nonlinear integral equations.

In the second part of the talk we present boundary integral equations methods to direct and inverse problems with GIBC for planar linear viscoelasticity. The feasibility of the techniques is illustrated by numerical examples.

Link to the seminar is:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1681046632486?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d