All-at-once formulation and regularization of inverse problemsMS72

The conventional way of formulating inverse problems, such as parameter identification in PDEs, is via some forward operator, which is the composition of the observation operator with the parameter-to-state-map for the underlying PDE model. Recently, all-at-once formulations have been considered as an alternative to this reduced formulation, avoiding the numerical evaluation of a parameter-to-state-map. Here the model and the observation are considered simultaneously as one large system with the state and the parameter as unknowns.

This presentation is part of Minisymposium “MS72 - Inverse problems with imperfect forward models (2 parts)
organized by: Yury Korolev (University of Cambridge) , Martin Burger (University of Muenster) .

Barbara Kaltenbacher (Alpen-Adria-Universität Klagenfurt)
inverse problems, partial differential equation models