Prof. Dr. Winnifried Wollner

Contact - Publications - Teaching - Conferences - Projects - Editorial Boards - CV 


Publications in Journals:
Caroline Geiersbach, Winnifried Wollner
Optimality conditions for convex stochastic optimization problems in Banach spaces with almost sure state constraint
SIAM J. Optim. 31(4), 2455-2480 (2021) doi:10.1137/20M1363558 Preprint
Masoumeh Mohammadi, Winnifried Wollner
A Priori Error Estimates for a Linearized Fracture Control Problem
Optim. Eng. (2020) doi:10.1007/s11081-020-09574-z (open access) Preprint
Caroline Geiersbach, Winnifried Wollner
A Stochastic Gradient Method with Mesh Refinement for PDE Constrained Optimization under Uncertainty
SIAM J. Sci. Comput. 42(2), A2750-A2772 (2020) doi:10.1137/19M1263297 Preprint
J. Schröder, T. Wick, S. Reese, P. Wriggers, R. Müller, S. Kollmannsberger, M. Kästner, A. Schwarz, M. Igelbüscher, N. Viebahn, H. R. Bayat, S. Wulfinghoff, K. Mang, E. Rank, T. Bog, D. D'Angella, M. Elhaddad, P. Hennig, A. Düster, W. Garhuom, S. Hubrich, M. Walloth, W. Wollner, C. Kuhn, T. Heister
A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
Arch. Comput. Methods. Eng. 28, 713-751 (2021) doi:10.1007/s11831-020-09477-3 (open access)
Susanne C. Brenner, Li-Yeng Sung, Winnifried Wollner
A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints
Numer. Funct. Anal. Optim. 41(13), 1549-1563 (2020) doi:10.1080/01630563.2020.1785495 Preprint
Thomas Wick, Winnifried Wollner
Optimization with nonstationary, nonlinear monolithic fluid-structure interaction
Int. J. Numer. Methods Eng. 122(19), 5430-5449 (2021) doi:10.1002/nme.6372 (open access) Preprint
Susanne C. Brenner, Li-Yeng Sung, Winnifried Wollner
Finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state
Optim. Eng. (2020) doi:10.1007/s11081-020-09491-1 Preprint
Bernhard Endtmayer, Ulrich Langer, Ira Neitzel, Thomas Wick, Winnifried Wollner
Multigoal-oriented optimal control problems with nonlinear PDE constraints
Comput. Math. Appl. 79(10), 3001-3026 (2020) doi:10.1016/j.camwa.2020.01.005 Preprint
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser, Winnifried Wollner
Quasi-best approximation in optimization with PDE constraints
Inverse Problems (2019) doi:10.1088/1361-6420/ab47f3 (open access) Preprint
Katrin Mang, Thomas Wick, Winnifried Wollner
A Phase-Field Model for Fractures in Incompressible Solids
Comput. Mech. 65, 61-78 (2020) doi:10.1007/s00466-019-01752-w Preprint
Katrin Mang, Mirjam Walloth, Thomas Wick, Winnifried Wollner
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator
GAMM Mitteilungen 43(1), (2019) doi:10.1002/gamm.202000003 Preprint
Thomas Wick, Winnifried Wollner
On the differentiability of stationary fluid-structure interaction problems with respect to the problem data
J. Math. Fluid Mech. 21:34 (2019) doi:10.1007/s00021-019-0439-0 Preprint
Ira Neitzel, Thomas Wick, Winnifried Wollner
An Optimal Control Problem Governed by a Regularized Phase-field Fracture Propagation Model. Part II The Regularization Limit
SIAM J. Control Optim. 57(3), 1672-1690 (2019) doi:10.1137/18M122385X, Preprint
Susanne Beckers, Jörn Behrens, Winnifried Wollner
Duality based error estimation in the presence of discontinuities
Appl. Numer. Math. 144, 83-99 (2019) doi:10.1016/j.apnum.2019.05.016, Preprint
Robert Haller-Dintelmann, Hannes Meinlschmidt, Winnifried Wollner
Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions
Ann. mat. Pura Appl. 198(4), 1227-1241 (2019) doi:10.1007/s10231-018-0818-9, Preprint
Martin Schmidt, Mathias Sirvent, Winnifried Wollner
A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities
Math. Program. 178(1-2), 449-483 (2019) doi:10.1007/s10107-018-1309-x, Preprint
Thomas Richter, Winnifried Wollner
An optimization framework for the computation of time-periodic solutions of partial differential equations
Vietnam J. Math. 46(4), 949-966 (2018) doi:10.1007/s10013-018-0314-y, Preprint
Francesco Ludovici, Ira Neitzel, Winnifried Wollner
A Priori Error Estimates for State Constrained Semilinear Parabolic Optimal Control Problems
J. Optim. Theory Appl. 178(2), 317-348 (2018) doi:10.1007/s10957-018-1311-8, Preprint
Ira Neitzel, Winnifried Wollner
A Priori L2-Discretization Error Estimates for the State in Elliptic Optimization Problems with Pointwise Inequality State Constraints
Numer. Math. 138(2), 273-299 (2018) doi:10.1007/s00211-017-0906-6, Preprint
Christian Goll, Thomas Wick, Winnifried Wollner
DOpElib: Differential Equations and Optimization Environment; A Goal Oriented Software Library for Solving PDEs and Optimization Problems with PDEs
Archive of Numerical Software 5(2), 1-14 (2017) doi:10.11588/ans.2017.2.11815 (open access)
Ira Neitzel, Thomas Wick, Winnifried Wollner
An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model
SIAM J. Control Optim. 55(4), 2271-2288 (2017) doi:10.1137/16M1062375, Preprint
Roland Herzog, Winnifried Wollner
A Conjugate Direction Method for Linear Systems in Banach Spaces
Journal of Inverse and Ill-posed Problems 25(5), 553-572 (2017) doi:10.1515/jiip-2016-0027, Preprint
Alexander Linke, Christian Merdon, Winnifried Wollner
Optimal L^2 Velocity Error Estimates for a Modified Pressure-Robust Crouzeix-Raviart Stokes Element
IMA J. Numer. Anal. 37(1), 354-376 (2017)  doi:10.1093/imanum/drw019, Preprint
Christian Goll, Rolf Rannacher, Winnifried Wollner
The Damped Crank-Nicolson Time-Marching Scheme for the Adaptive Solution of the Black-Scholes Equation
J. Comput. Finance 18(4), 1-37 (2015) doi:10.21314/JCF.2015.301, Preprint
Christian Meyer, Andreas Rademacher, Winnifried Wollner
Adaptive optimal control of the obstacle problem
SIAM J. Sci. Comput., 37(2), A918-A945 (2015)  doi:10.1137/140975863, Preprint
Francesco Ludovici, Winnifried Wollner
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
SIAM J. Control Optim., 53(2), 745-770 (2015)  doi:10.1137/140961778, Preprint
Ingenuin Gasser, Martin Rybicki, Winnifried Wollner
Optimal control of the temperature in a catalytic converter
Comput. Math. Appl., 67(8), 1521-1544 (2014)  doi:10.1016/j.camwa.2014.02.006, Preprint
Mary F. Wheeler, Thomas Wick, Winnifried Wollner
An Augmented-Lagrangian Method for the Phase-Field Approach for Pressurized Fractures
Comput. Methods Appl. Mech. Engrg., 271(1), 69-85 (2014)  doi:10.1016/j.cma.2013.12.005, Preprint
Michael Hintermüller, Anton Schiela, Winnifried Wollner
The Length of the Primal-Dual Path in Moreau-Yosida-based Path-following for State Constrained Optimal Control
SIAM J. Optim., 24(1), 108-126 (2014)  doi:10.1137/120866762, Preprint
Mark R. Opmeer, Timo Reis, Winnifried Wollner
Finite-Rank ADI Iteration for Operator Lyapunov Equations
SIAM J. Control Optim., 51(5), 4084-4117 (2013)  doi:10.1137/120885310, Preprint
Stefan Frei, Rolf Rannacher, Winnifried Wollner
A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator
Calcolo, 50(3), 165-193 (2013)  doi:10.1007/s10092-012-0063-3, Preprint
Winnifried Wollner
Optimal Control of Elliptic Equations with Pointwise Constraints on the Gradient of the State in Nonsmooth Polygonal Domains
SIAM J. Control Optim. 50(4), 2117-2129, (2012) doi:10.1137/110836419, Preprint
Daniel Gerecht, Rolf Rannacher, Winnifried Wollner
Computational aspects of pseudospectra in hydrodynamic stability analysis
J. Math. Fluid Mech. 14(4), 661-692 (2012) doi:10.1007/s00021-011-0085-7, Preprint
Michael Besier, Winnifried Wollner
On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes
Internat. J. Numer. Methods Fluids 69(6), 1045-1064, (2012) doi:10.1002/fld.2625, Preprint
Christoph Ortner, Winnifried Wollner
A Priori Error Estimates for Optimal Control Problems with Pointwise Constraints on the Gradient of the State
Numer. Math. 118(3), 587-600 (2011) doi:10.1007/s00211-011-0360-9, Preprint
Anton Schiela, Winnifried Wollner
Barrier methods for optimal control problems with convex nonlinear gradient state constraints
SIAM J. Optim. 21(1), 269-286 (2011) doi:10.1137/080742154, Preprint
Rolf Rannacher, Antje Westenberger, Winnifried Wollner
Adaptive Finite Element Solution of Eigenvalue Problems: Balancing of Discretization and Iteration Error
J. Numer. Math. 18(4), 303-327 (2010) doi:10.1515/JNUM.2010.015, Preprint
Winnifried Wollner
A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints
Comput. Optim. Appl. 47(1), 133-159 (2010) doi:10.1007/s10589-008-9209-2, Preprint
Boris Vexler, Winnifried Wollner
Adaptive finite elements for elliptic optimization problems with control constraints
SIAM J. Control Optim. 47(1), 509-534 (2008) doi:10.1137/070683416, Preprint
Book Chapters:
Katrin Mang, Mirjam Walloth, Thomas Wick, Winnifried Wollner
Adaptive Numerical Simulation of a Phase-field Fracture Model in Mixed Form tested on an L-shaped Specimen with High Poisson Ratios
in Numerical Mathematics and Advanced Applications ENUMATH 2019,
Lecture Notes in Computational Science and Engineering, Vol. 139, 1185-1193, Springer (2021) doi:10.1007/978-3-030-55874-1_118, Preprint
Roland Herzog, Arnd Rösch, Stefan Ulbrich, Winnifried Wollner
OPTPDE: A Collection of Problems in PDE-Constrained Optimization
in Trends in PDE Constrained Optimization,
Springer ISNM Series, Vol. 165, 539-543, Springer Basel (2014) doi:10.1007/978-3-319-05083-6_34 
Winnifried Wollner
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,
Springer ISNM Series, Vol. 164, 193-215, Springer Basel (2013) doi:10.1007/978-3-0348-0631-2_11, Preprint
Rolf Rannacher, Boris Vexler, Winnifried Wollner
A Posteriori Error Estimation in PDE-Constrained Optimization with Pointwise Inequality Constraints
in Constrained Optimization and Optimal Control for Partial Differential Equations,
Springer ISNM Series, Vol. 160, 349-373, Springer Basel (2012) doi:10.1007/978-3-0348-0133-1_19
Preprints:
Mirjam Walloth, Winnifried Wollner
A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints
Preprint (2021) arXiv: 2106.09469
Adrian Hirn, Winnifried Wollner
An Optimal Control Problem for Equations with p-Structure and its Finite Element Discretization
Preprint, SPP 1962-137 (2020) PDF
Seshadri Basava, Katrin Mang, Mirjam Walloth, Thomas Wick, Winnifried Wollner
Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture
Preprint (2020) arXiv: 2006.16566
Andreas Hehl, Masoumeh Mohammadi, Ira Neitzel, Winnifried Wollner
Optimizing Fracture Propagation Using a Phase-Field Approach
Preprint (2019)  PDF
Martin Schmidt, Mathias Sirvent, Winnifried Wollner
The Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities
Optimization Online (2018/04/6594) PDF
Herbert Egger, Thomas Kugler, Winnifried Wollner
Numerical optimal control of instationary gas transport with control and state constraints
TRR 154 Preprint (2017) PDF
Proceedings and other Publications:
Bernhard Endtmayer, Ulrich Langer, Ira Neitzel, Thomas Wick, Winnifried Wollner
Mesh adaptivity and error estimates applied to a regularized p-Laplacian constrainted optimal control problem for multiple quantities of interest
PAMM 19, early-view, WILEY-VCH Verlag (2019) doi:10.1002/pamm.201900231
Winnifried Wollner
Optimization of phase-field damage and fracture - and its discretization
Oberwolfach Rep. 15(4), 3292-3293, (2018) doi:10.4171/OWR/2018/55
Francesco Ludovici, Ira Neitzel, Winnifried Wollner
A Priori Error Estimates for Nonstationary Optimal Control Problems with Gradient State Constraints
PAMM 15, 611-612, WILEY-VCH Verlag (2015) doi:10.1002/pamm.201510295
Ingenuin Gasser, Martin Rybicki, Winnifried Wollner
Modelling, simulation and optimization of gas dynamics in an exhaust pipe
in Hyperbolic Problems: Theory, Numerics, Applications (Proceedings of the 14th International Conference on Hyperbolic Problems held in Padova, June 25-29, 2012), AIMS on Applied Mathematics 8, 907-914 (2014)
Timo Reis, Winnifried Wollner
Iterative solution of operator Lyapunov equations arising in heat transfer
in 2013 European Control Conference (ECC), 41-46 (2013)
Winnifried Wollner
Goal-Oriented Adaptivity for Optimization of Elliptic Systems subject to Pointwise Inequality Constraints: Application to Free Material Optimization
PAMM 10, 669-672, WILEY-VCH Verlag (2010) doi:10.1002/pamm.201010325
Winnifried Wollner
Adaptive FEM for PDE Constrained Optimization with Pointwise Constraints on the Gradient of the State
PAMM 8, 10873-10874, WILEY-VCH Verlag (2008) doi:10.1002/pamm.200810873
Winnifried Wollner
Adaptive Finite Element Methods for Optimal Control Problems with Control Constraints
Oberwolfach Rep., 1728-1731, (2007) 
Lecture Notes
Winnifried Wollner
Optimization in Function Spaces
Sommersemester 2018 
Winnifried Wollner
Numerical Methods for Optimization with PDE Constraints
Sommersemester 2017 
Winnifried Wollner
(Nonlinear) Optimization
Sommersemester 2014  
Winnifried Wollner
Adaptive Finite Elements
Winterterm 2012/2013 (available in STiNE
Winnifried Wollner
Numerical Methods for PDEs: Finite Elements
Summerterm 2012 (available in STiNE
revised versions in Summerterms 2013 and 2014
Winnifried Wollner
Optimization of Complex Systems: Optimization with Partial Differential Equations
Winterterm 2011/2012 (available in STiNE
revised version in Winterterm 2013/2014
Winnifried Wollner
Optimization of Complex Systems: Nonsmooth Optimization
Summerterm 2011 (available in STiNE
Thesis
Adaptive Methods for PDE-based Optimal Control with Pointwise Inequality Constraints
PhD thesis, University of Heidelberg, 2010 urn:nbn:de:bsz:16-opus-109431
Adaptive FE-Methoden für Optimalsteuerungsprobleme elliptischer PDE mit Kontrollbeschränkungen
diploma thesis, University of Heidelberg, 2006 (in German language)
Software
Differential Equation and Optimization Environment: DOpElib (maintainer)

Prof. Dr. Winnifried Wollner

S4|10 119
Dolivostraße 15
64293 Darmstadt


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