This article addresses the inference of physics models from data, from the perspectives of
inverse problems and model reduction. These fields develop formulations that integrate data …

The paper describes general methodologies for the solution of design optimization
problems. In particular we outline the close relations between a fixed point solver based …

Optimal control problems for a class of 1D semilinear parabolic equations with cubic
nonlinearity are considered. This class is also known as the Schlögl model. Main emphasis …

In this paper, we consider the efficient and reliable solution of distributed optimal control
problems governed by parametrized elliptic partial differential equations. The reduced basis …

In this paper, we employ the reduced basis method for the efficient and reliable solution of
parametrized optimal control problems governed by scalar coercive elliptic partial differential …

We consider the efficient and reliable solution of linear-quadratic optimal control problems
governed by parametrized parabolic partial differential equations. To this end, we employ …

Phase field modeling finds utility in various areas. In optimization theory in particular, the
distributed control and Neumann boundary control of phase field models have been …

Computationally efficient approaches to topology optimization usually include heuristic
update and/or filtering schemes to overcome numerical problems such as the well-known …

Actuator location and design are important choices in controller design for distributed
parameter systems. Semilinear partial differential equations model a wide spectrum of …

Previous works of Junker and Hackl (2016) have presented a variational growth approach to
topology optimization in which the problem of checkerboarding was suppressed by means …