55 citations · 86 across the 24 of their papers we have counts for
5 papers · 1 filter
First and Second Order Shape Optimization based on Restricted Mesh Deformations
Tommy Etling, Roland Herzog, Estefanía Loayza +1
We consider shape optimization problems subject to elliptic partial differential equations. In the context of the finite element method, the geometry to be optimized is represented…
Optimum Experimental Design for Interface Identification Problems
Tommy Etling, Roland Herzog, Martin Siebenborn
The identification of the interface of an inclusion in a diffusion process is considered. This task is viewed as a parameter identification problem in which the parameter space bea…
Discrete Total Variation with Finite Elements and Applications to Imaging
Marc Herrmann, Roland Herzog, Stephan Schmidt +2
The total variation (TV)-seminorm is considered for piecewise polynomial, globally discontinuous (DG) and continuous (CG) finite element functions on simplicial meshes. A novel, di…
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds
Ronny Bergmann, Roland Herzog
Karush-Kuhn-Tucker (KKT) conditions for equality and inequality constrained optimization problems on smooth manifolds are formulated. Under the Guignard constraint qualification, l…
Fast iterative solvers for an optimal transport problem
Roland Herzog, John W. Pearson, Martin Stoll
Optimal transport problems pose many challenges when considering their numerical treatment. We investigate the solution of a PDE-constrained optimisation problem subject to a parti…