32 citations · 138 across the 19 of their papers we have counts for
6 papers · 1 filter
Optimization with nonstationary, nonlinear monolithic fluid-structure interaction
Thomas Wick, Winnifried Wollner
Within this work, we consider optimization settings for nonlinear, nonstationary fluid-structure interaction. The problem is formulated in a monolithic fashion using the arbitrary…
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator
Katrin Mang, Mirjam Walloth, Thomas Wick +1
In this work, we consider adaptive mesh refinement for a monolithic phase-field description for fractures in brittle materials. Our approach is based on an a posteriori error estim…
A Stochastic Gradient Method with Mesh Refinement for PDE Constrained Optimization under Uncertainty
Caroline Geiersbach, Winnifried Wollner
Models incorporating uncertain inputs, such as random forces or material parameters, have been of increasing interest in PDE-constrained optimization. In this paper, we focus on th…
Quasi-best approximation in optimization with PDE constraints
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1
We consider finite element solutions to quadratic optimization problems, where the state depends on the control via a well-posed linear partial differential equation. Exploiting th…
Multigoal-oriented optimal control problems with nonlinear PDE constraints
Bernhard Endtmayer, Ulrich Langer, Ira Neitzel +2
In this work, we consider an optimal control problem subject to a nonlinear PDE constraint and apply it to the regularized -Laplace equation. To this end, a reduced unconstraine…
A phase-field model for fractures in incompressible solids
Katrin Mang, Thomas Wick, Winnifried Wollner
Within this work, we develop a phase-field description for simulating fractures in incompressible materials. Standard formulations are subject to volume-locking when the solid is (…