Prof. Dr. Winnifried Wollner

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

Publications in Journals:
	Andrian Uihlein, Winnifried Wollner Stabilized SQP Methods in Hilbert Spaces Numer. Func. Anal. Optim. (2024) 10.1080/01630563.2024.2384861 Preprint
	Manaswinee Bezbaruah, Matthias Maier, Winnifried Wollner Shape optimization of optical microscale inclusions SIAM J. Sci. Comput. 46(4), B377-B402 (2024) 10.1137/23M158262X, Preprint
	Julia Grübel, Richard Krug, Martin Schmidt, Winnifried Wollner A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities with Applications to Bilevel Optimization and Gas Transport J. Optim. Theory Appl. 198, 1077-1117 (2023) doi:10.1007/s10957-023-02254-9, Preprint
	Christian Merdon, Winnifried Wollner Pressure-robustness in the context of optimal control SIAM J. Control Optim. 61(1), 342-360 (2023) doi:10.1137/22M1482603 Preprint
	Seshadri R. Basava, Winnifried Wollner Gradient robust mixed methods for nearly incompressible elasticity J. Sci. Comput. 95, (2023) doi:10.1007/s10915-023-02227-0 Preprint
	Mirjam Walloth, Winnifried Wollner A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints SIAM J. Sci. Comput. 44(3), B479-B505 (2022) doi:10.1137/21M1427437 Preprint
	Martin Schmidt, Mathias Sirvent, Winnifried Wollner The Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities Optim. Lett. 16, 1355-1372 (2022) doi:10.1007/s11590-021-01827-9 (open access) Preprint
	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. 22, 2127-2149 (2021) doi:10.1007/s11081-020-09574-z (open access) 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)
	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. 22, 1989-2008 (2021) doi:10.1007/s11081-020-09491-1 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
	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
	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 36(1), 014004 (2020) 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:
	Seshadri Basava, Katrin Mang, Mirjam Walloth, Thomas Wick, Winnifried Wollner Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture in Non-standard Discretization Methods in Solid Mechanics Springer Lecture Notes in Applied and Computational Mechanics, Vol. 98, 191-215, Springer (2022) doi:10.1007/978-3-030-92672-4_8, Preprint
	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
	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
	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, Birkhäser ISNM Series, Vol. 165, 539-543, Birkhäser (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, Birkhäser ISNM Series, Vol. 164, 193-215, Birkhäser (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, Birkhäser ISNM Series, Vol. 160, 349-373, Birkhäser (2012) doi:10.1007/978-3-0348-0133-1_19
Preprints:
	Christine Herter, Sebastian Schöps, Winnifried Wollner Numerical Eigenvalue Optimization by Shape-Variations for Maxwell's Eigenvalue Problem Preprint (2024) arXiv: 2407.11703
	Nicolai Simon, Winnifried Wollner Control in the Coefficients of an Obstacle Problem Preprint (2024) arXiv: 2405.20074
	Andreas Hehl, Denis Khimin, Ira Neitzel, Nicolai Simon, Thomas Wick, Winnifried Wollner Coefficient Control of Variational Inequalities Preprint (2023) arXiv: 2307.00869
	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:
	Winnifried Wollner Optimization of phase-field damage evolution Oberwolfach Rep. 2024/1, 57-58, (2024) doi:10.14760/OWR-2024-1
	Sofiya Onyshkevych, Martin Siebenborn, Winnifried Wollner Preserving mesh quality in shape optimization PAMM 24, (2024) doi:10.1002/pamm.202300146
	Christine Herter, Winnifried Wollner Eigenvalue Optimization with respect to Shape-Variations in Electromagnetic Cavities PAMM 22, (2022) doi:10.1002/pamm.202200122
	Nicolai Simon, Winnifried Wollner First Order Limiting Optimality Conditions in the Coefficient Control of an Obstacle Problem PAMM 22, (2022) doi:10.1002/pamm.202200184
	Tim Suchan, Kathrin Welker, Winnifried Wollner A new shape optimization approach for fracture propagation PAMM 22, (2022) doi:10.1002/pamm.202200124 Preprint
	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

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