2022

Schmidt, Martin ; Sirvent, Mathias ; Wollner, Winnifried (2022)
The cost of not knowing enough: mixed-integer optimization with implicit Lipschitz nonlinearities.
In: Optimization Letters, 16 (5)
doi: 10.1007/s11590-021-01827-9
Artikel, Bibliographie

Herter, Christine ; Schöps, Sebastian ; Wollner, Winnifried (2022)
Eigenvalue Optimization with respect to Shape‐Variations in Electromagnetic Cavities.
In: PAMM - Proceedings in Applied Mathematics & Mechanics, 22 (1)
doi: 10.1002/pamm.202200122
Artikel, Bibliographie

2021

Schröder, Jörg ; Wick, Thomas ; Reese, Stefanie ; Wriggers, Peter ; Müller, Ralf ; Kollmannsberger, Stefan ; Kästner, Markus ; Schwarz, Alexander ; Igelbüscher, Maximilian ; Viebahn, Nils ; Bayat, Hamid Reza ; Wulfinghoff, Stephan ; Mang, Katrin ; Rank, Ernst ; Bog, Tino ; D’Angella, Davide ; Elhaddad, Mohamed ; Hennig, Paul ; Düster, Alexander ; Garhuom, Wadhah ; Hubrich, Simeon ; Walloth, Mirjam ; Wollner, Winnifried ; Kuhn, Charlotte ; Heister, Timo (2021)
A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics.
In: Archives of Computational Methods in Engineering, 28 (2)
doi: 10.1007/s11831-020-09477-3
Artikel, Bibliographie

2020

Mohammadi, Masoumeh ; Wollner, Winnifried (2020)
A Priori Error Estimates for a Linearized Fracture Control Problem.
In: Optimization and Engineering
doi: 10.1007/s11081-020-09574-z
Artikel, Bibliographie

Mang, Katrin ; Walloth, Mirjam ; Wick, Thomas ; Wollner, Winnifried (2020)
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator.
In: GAMM Mitteilungen, 43 (1)
doi: 10.1002/gamm.202000003
Artikel, Bibliographie

Mang, Katrin ; Wick, Thomas ; Wollner, Winnifried (2020)
A Phase-Field Model for Fractures in Incompressible Solids.
In: Computational Mechanics, 65 (1)
doi: 10.1007/s00466-019-01752-w
Artikel, Bibliographie

2019

Neitzel, Ira ; Wick, Thomas ; Wollner, Winnifried (2019)
An Optimal Control Problem Governed by a Regularized Phase-field Fracture Propagation Model. Part II The Regularization Limit.
In: SIAM Journal on Control and Optimization, 57 (3)
doi: 10.1137/18M122385X
Artikel, Bibliographie

2018

Richter, Thomas ; Wollner, Winnifried (2018)
An optimization framework for the computation of time-periodic solutions of partial differential equations.
In: Vietnam Journal of Mathematics, 46 (4)
doi: 10.1007/s10013-018-0314-y
Artikel, Bibliographie

Neitzel, Ira ; Wollner, Winnifried (2018)
A Priori L²-Discretization Error Estimates for the State in Elliptic Optimization Problems with Pointwise Inequality State Constraints.
In: Numerische Mathematik, 138 (2)
doi: 10.1007/s00211-017-0906-6
Artikel, Bibliographie

Ludovici, Francesco ; Neitzel, Ira ; Wollner, Winnifried (2018)
A Priori Error Estimates for State Constrained Semilinear Parabolic Optimal Control Problems.
In: Journal of Optimization Theory and Applications, 178 (2)
doi: 10.1007/s10957-018-1311-8
Artikel, Bibliographie

2015

Goll, Christian ; Rannacher, Rolf ; Wollner, Winnifried (2015)
The Damped Crank-Nicolson Time-Marching Scheme for the Adaptive Solution of the Black-Scholes Equation.
In: Journal of Computational Finance, 18 (4)
doi: 10.21314/JCF.2015.301
Artikel, Bibliographie

Ludovici, Francesco ; Wollner, Winnifried (2015)
A Priori Error Estimates for a Finite Element Discretization of Parabolic Optimization Problems with Pointwise Constraints in Time on Mean Values of the Gradient of the State.
In: SIAM Journal on Control and Optimization, 53 (2)
doi: 10.1137/140961778
Artikel, Bibliographie

2014

Herzog, Roland ; Rösch, Arnd ; Ulbrich, Stefan ; Wollner, Winnifried
Hrsg.: Leugering, Günter ; Benner, Peter ; Engell, Sebastian ; Griewank, Andreas ; Harbrecht, Helmut ; Hinze, Michael ; Rannacher, Rolf ; Ulbrich, Stefan (2014)
OPTPDE: A Collection of Problems in PDE-Constrained Optimization.
In: Trends in PDE Constrained Optimization
doi: 10.1007/978-3-319-05083-6_34
Buchkapitel, Bibliographie

Hintermüller, Michael ; Schiela, Anton ; Wollner, Winnifried (2014)
The Length of the Primal-Dual Path in Moreau-Yosida-based Path-following for State Constrained Optimal Control.
In: SIAM Journal on Optimization, 24 (1)
doi: 10.1137/120866762
Artikel, Bibliographie

2013

Frei, Stefan ; Rannacher, Rolf ; Wollner, Winnifried (2013)
A Priori Error Estimates for the Finite Element Discretization of Optimal Distributed Control Problems Governed by the Biharmonic Operator.
In: Calcolo, 50 (3)
doi: 10.1007/s10092-012-0063-3
Artikel, Bibliographie

Opmeer, Mark R. ; Reis, Timo ; Wollner, Winnifried (2013)
Finite-Rank ADI Iteration for Operator Lyapunov Equations.
In: SIAM Journal on Control and Optimization, 51 (5)
doi: 10.1137/120885310
Artikel, Bibliographie

Wollner, Winnifried
Hrsg.: Bredies, K. ; Clason, C. ; Kunisch, K. ; Winckel, G. von (2013)
A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains.
In: Control and Optimization with PDE Constraints, Auflage: 1.Auflage
doi: 10.1007/978-3-0348-0631-2
Buchkapitel, Bibliographie

2012

Gerecht, Daniel ; Rannacher, Rolf ; Wollner, Winnifried (2012)
Computational aspects of pseudospectra in hydrodynamic stability analysis.
In: Journal of Mathematical Fluid Mechanics, 14 (4)
doi: 10.1007/s00021-011-0085-7
Artikel, Bibliographie

Besier, Michael ; Wollner, Winnifried (2012)
On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes.
In: International Journal Numerical Methods in Fluids, 69 (6)
doi: 10.1002/fld.2625
Artikel, Bibliographie

Wollner, Winnifried (2012)
Optimal Control of Elliptic Equations with Pointwise Constraints on the Gradient of the State in Nonsmooth Polygonal Domains.
In: SIAM Journal on Control and Optimization, 50 (4)
doi: 10.1137/110836419
Artikel, Bibliographie

Rannacher, Rolf ; Vexler, Boris ; Wollner, Winnifried (2012)
A Posteriori Error Estimation in PDE-Constrained Optimization with Pointwise Inequality Constraints.
In: Constrained Optimization and Optimal Control for Partial Differential Equations
doi: 10.1007/978-3-0348-0133-1
Buchkapitel, Bibliographie

2011

Ortner, Christoph ; Wollner, Winnifried (2011)
A Priori Error Estimates for Optimal Control Problems with Pointwise Constraints on the Gradient of the State.
In: Numerische Mathematik, 118 (3)
doi: 10.1007/s00211-011-0360-9
Artikel, Bibliographie

Schiela, Anton ; Wollner, Winnifried (2011)
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints.
In: SIAM Journal on Optimization, 21 (1)
doi: 10.1137/080742154
Artikel, Bibliographie

2010

Rannacher, Rolf ; Westenberger, Antje ; Wollner, Winnifried (2010)
Adaptive Finite Element Solution of Eigenvalue Problems: Balancing of Discretization and Iteration Error.
In: Journal of Numerical Mathematics, 18 (4)
doi: 10.1515/jnum.2010.015
Artikel, Bibliographie

Wollner, Winnifried (2010)
A Posteriori Error Estimates for a Finite Element Discretization of Interior Point Methods for an Elliptic Optimization Problem with State Constraints.
In: Computational Optimization and Applications, 47 (1)
doi: 10.1007/s10589-008-9209-2
Artikel, Bibliographie

2008

Vexler, Boris ; Wollner, Winnifried (2008)
Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints.
In: SIAM Journal on Control and Optimization, 47 (1)
doi: 10.1137/070683416
Artikel, Bibliographie