32 citations · 138 across the 19 of their papers we have counts for
20 papers
Fracture propagation by using shape optimization techniques based on outer Riemannian metrics
Tim Suchan, Winnifried Wollner, Kathrin Welker
In this work, we investigate a novel approach for the simulation of two-dimensional, brittle, quasi-static fracture problems based on a shape optimization approach. In contrast to…
A~posteriori error analysis for optimization with PDE constraints
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1
We consider finite element solutions to optimization problems, where the state depends on the possibly constrained control through a linear partial differential equation. Basing up…
Numerical Eigenvalue Optimization by Shape-Variations for Maxwell's Eigenvalue Problem
Christine Herter, Sebastian Schöps, Winnifried Wollner
In this paper we consider the free-form optimization of eigenvalues in electromagnetic systems by means of shape-variations with respect to small deformations. The objective is to…
Stabilized SQP Methods in Hilbert Spaces
Andrian Uihlein, Winnifried Wollner
Based on techniques by (S.J. Wright 1998) for finite-dimensional optimization, we investigate a stabilized sequential quadratic programming method for nonlinear optimization proble…
Coefficient Control of Variational Inequalities
Andreas Hehl, Denis Khimin, Ira Neitzel +3
Within this chapter, we discuss control in the coefficients of an obstacle problem. Utilizing tools from H-convergence, we show existence of optimal solutions. First order necessar…
Shape optimization of optical microscale inclusions
Manaswinee Bezbaruah, Matthias Maier, Winnifried Wollner
This paper describes a class of shape optimization problems for optical metamaterials comprised of periodic microscale inclusions composed of a dielectric, low-dimensional material…