A meaningful solution to an inversion problem should be composed of the preferred
inversion model and its uncertainty and resolution estimates. The model uncertainty …

Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

In this paper we derive a posteriori error estimates for space-time finite element
discretizations of parabolic optimization problems. The provided error estimates assess the …

This contribution addresses various topics on parameter identification for constitutive
equations on the basis of experimental data. Starting from basic characteristics of inverse …

In this paper we develop a posteriori error estimates for finite element discretization of elliptic
optimization problems with pointwise inequality constraints on the control variable. We …

Today, the identification of material model parameters is based more and more on full-field
measurements. This article explains how an appropriate use of the constitutive equation gap …

Optical tomography attempts to determine a spatially variable coefficient in the interior of a
body from measurements of light fluxes at the boundary. Like in many other applications in …

PDE-constrained optimization refers to the optimization of systems governed by PDEs. The
simulation problem is to solve the PDEs for the state variables (eg, displacement, velocity …

We analyze neural network solutions to partial differential equations obtained with Physics
Informed Neural Networks. In particular, we apply tools of classical finite element error …

In this paper optimal control problems governed by elliptic semilinear equations and subject
to pointwise state constraints are considered. These problems are discretized using finite …