Contact - Publications - Teaching - Conferences - Projects - Editorial Boards - CV
| Publications in Journals: | |
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| Martin Schmidt, Mathias Sirvent, Winnifried Wollner The Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities Optim. Lett. (2021) doi:10.1007/s11590-021-01827-9 (open access) Preprint |
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| 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 |
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| Masoumeh Mohammadi, Winnifried Wollner A Priori Error Estimates for a Linearized Fracture Control Problem Optim. Eng. 22, 2127-2149 (2021) doi:10.1007/s11081-020-09574-z (open access) Preprint |
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| 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) |
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| 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 |
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| 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. 22, 1989-2008 (2021) doi:10.1007/s11081-020-09491-1 Preprint |
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| 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 |
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| 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 |
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| 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 |
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| Fernando Gaspoz, Christian Kreuzer, Andreas Veeser, Winnifried Wollner Quasi-best approximation in optimization with PDE constraints Inverse Problems 36(1), 014004 (2020) doi:10.1088/1361-6420/ab47f3 (open access) Preprint |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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) |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| Book Chapters: | |
| Adrian Hirn, Winnifried Wollner An Optimal Control Problem for Equations with p-Structure and its Finite Element Discretization in Optimization and Control for Partial Differential Equations, Radon Series on Computational and Applied Mathematics, Vol. 29, 137-166, De Gruyter (2022) doi:10.1515/9783110695984-007, Preprint |
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| Andreas Hehl, Masoumeh Mohammadi, Ira Neitzel, Winnifried Wollner Optimizing Fracture Propagation Using a Phase-Field Approach in Non-Smooth and Complementarity-Based Distributed Parameter Systems, Birkhäser ISNM Series, Vol. 172, 329-351, Birkhäser (2022) doi:10.1007/978-3-030-79393-7_13, Preprint |
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| 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 |
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| Roland Herzog, Arnd Rösch, Stefan Ulbrich, Winnifried Wollner OPTPDE: A Collection of Problems in PDE-Constrained Optimization in Trends in PDE Constrained Optimization, Birkhäser ISNM Series, Vol. 165, 539-543, Birkhäser (2014) doi:10.1007/978-3-319-05083-6_34 |
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| 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, Birkhäser ISNM Series, Vol. 164, 193-215, Birkhäser (2013) doi:10.1007/978-3-0348-0631-2_11, Preprint |
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| 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, Birkhäser ISNM Series, Vol. 160, 349-373, Birkhäser (2012) doi:10.1007/978-3-0348-0133-1_19 |
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| Preprints: | |
| Christian Merdon, Winnifried Wollner Pressure-robustness in the context of optimal control Preprint (2022) arXiv: 2203.02224 |
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| 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 |
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| 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 |
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| Herbert Egger, Thomas Kugler, Winnifried Wollner Numerical optimal control of instationary gas transport with control and state constraints TRR 154 Preprint (2017) PDF |
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| 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 |
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| 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 |
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| 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 |
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| 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) |
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| Timo Reis, Winnifried Wollner Iterative solution of operator Lyapunov equations arising in heat transfer in 2013 European Control Conference (ECC), 41-46 (2013) |
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| 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 |
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| 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 |
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| Winnifried Wollner Adaptive Finite Element Methods for Optimal Control Problems with Control Constraints Oberwolfach Rep., 1728-1731, (2007) |
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| Lecture Notes | |
| Winnifried Wollner Optimization in Function Spaces Sommersemester 2018 |
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| Winnifried Wollner Numerical Methods for Optimization with PDE Constraints Sommersemester 2017 |
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| Winnifried Wollner (Nonlinear) Optimization Sommersemester 2014 |
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| Winnifried Wollner Adaptive Finite Elements Winterterm 2012/2013 (available in STiNE) |
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| Winnifried Wollner Numerical Methods for PDEs: Finite Elements Summerterm 2012 (available in STiNE) revised versions in Summerterms 2013 and 2014 |
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| Winnifried Wollner Optimization of Complex Systems: Optimization with Partial Differential Equations Winterterm 2011/2012 (available in STiNE) revised version in Winterterm 2013/2014 |
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| Winnifried Wollner Optimization of Complex Systems: Nonsmooth Optimization Summerterm 2011 (available in STiNE) |
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| 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 |
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| Adaptive FE-Methoden für
Optimalsteuerungsprobleme elliptischer PDE mit Kontrollbeschränkungen diploma thesis, University of Heidelberg, 2006 (in German language) |
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| Software | |
| Differential Equation and Optimization Environment: DOpElib (maintainer) | |