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) .

Authors:

Barbara Kaltenbacher (Alpen-Adria-Universität Klagenfurt)

Keywords:

inverse problems, partial differential equation models