  The identification of the interface of an inclusion in a diffusion process is
considered. This task is viewed as a parameter identification problem in which
the parameter space bears the structure of a shape manifold. A corresponding
optimum experimental design (OED) problem is formulated in which the activation
pattern of an array of sensors in space and time serves as experimental
condition. The goal is to improve the estimation precision within a certain
subspace of the infinite dimensional tangent space of shape variations to the
manifold, and to find those shape variations of best and worst identifiability.
Numerical results for the OED problem obtained by a simplicial decomposition
algorithm are presented.
