Prof. Dr. Winnifried Wollner

ContactPublications - Workgroup - Teaching - Conferences - Projects - Editorial Boards 

Publications in Journals:
Ira Neitzel, Winnifried Wollner
A Priori L2-Discretization Error Estimates for the State in Elliptic Optimization Problems with Pointwise Inequality State Constraints
Numer. Math. (online-first) (2017)  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
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 (early access) 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 (2016) 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
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
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
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
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
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  PDF
Preprints:
Martin Schmidt, Mathias Sirvent, Winnifried Wollner
A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities
Optimization Online (2017/07/6130) PDF
Susanne Beckers, Jörn Behrens, Winnifried Wollner
Duality based error estimation in the presence of discontinuities
TRR 154 Preprint (2017) PDF
Francesco Ludovici, Ira Neitzel, Winnifried Wollner
A Priori Error Estimates for State Constrained Semilinear Parabolic Optimal Control Problems
Preprint (2016) PDF
Also as INS Preprint 1605 PDF
Thomas Wick, Winnifried Wollner
On the differentiability of stationary fluid-structure interaction problems with respect to the problem data
Hamburger Beiträge zur Angewandten Mathematik 2013-06 (2013) PDF
Revised and Extended Version: Hamburger Beiträge zur Angewandten Mathematik 2014-25 (2014) PDF
Proceedings and other Publications:
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
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 
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
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
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
(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)
The Optimization Tool: RoDoBo (contributor)
The finite element toolkit: Gascoigne 3d (contributor)
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