32 citations · 138 across the 19 of their papers we have counts for
9 papers · 1 filter
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…
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…
A new shape optimization approach for fracture propagation
Tim Suchan, Kathrin Welker, Winnifried Wollner
Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the propo…
A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
Julia Grübel, Richard Krug, Martin Schmidt +1
We present a novel method for mixed-integer optimization problems with multivariate and Lipschitz continuous nonlinearities. In particular, we do not assume that the nonlinear cons…