Learning physics-based models from data: perspectives from inverse problems and model reduction
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 …
inverse problems and model reduction. These fields develop formulations that integrate data …
One-shot approaches to design optimzation
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 …
problems. In particular we outline the close relations between a fixed point solver based …
On the optimal control of the Schlögl-model
R Buchholz, H Engel, E Kammann… - Computational …, 2013 - Springer
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 …
nonlinearity are considered. This class is also known as the Schlögl model. Main emphasis …
Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls
M Kärcher, Z Tokoutsi, MA Grepl, K Veroy - Journal of Scientific Computing, 2018 - Springer
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 …
problems governed by parametrized elliptic partial differential equations. The reduced basis …
Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints
E Bader, M Kärcher, MA Grepl, K Veroy - SIAM Journal on Scientific …, 2016 - SIAM
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 …
parametrized optimal control problems governed by scalar coercive elliptic partial differential …
A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems∗
M Kärcher, MA Grepl - ESAIM: Mathematical Modelling and …, 2014 - cambridge.org
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 …
governed by parametrized parabolic partial differential equations. To this end, we employ …
Existence of optimal control for Dirichlet boundary optimization in a phase field problem
A Wodecki, M Balázsová, P Strachota… - Journal of Dynamical and …, 2023 - Springer
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 …
distributed control and Neumann boundary control of phase field models have been …
Comparison of thermodynamic topology optimization with SIMP
Computationally efficient approaches to topology optimization usually include heuristic
update and/or filtering schemes to overcome numerical problems such as the well-known …
update and/or filtering schemes to overcome numerical problems such as the well-known …
Optimal actuator design for semilinear systems
MS Edalatzadeh, KA Morris - SIAM Journal on Control and Optimization, 2019 - SIAM
Actuator location and design are important choices in controller design for distributed
parameter systems. Semilinear partial differential equations model a wide spectrum of …
parameter systems. Semilinear partial differential equations model a wide spectrum of …
An evolutionary topology optimization approach with variationally controlled growth
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 …
topology optimization in which the problem of checkerboarding was suppressed by means …