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## Wollner, Winnifried

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 Author ID: wollner.winnifried Published as: Wollner, W.; Wollner, Winnifried Homepage: http://www2.mathematik.tu-darmstadt.de/~wollner External Links: MGP · ORCID · dblp · GND
 Documents Indexed: 35 Publications since 2008, including 1 Book Reviewing Activity: 1 Review
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#### Co-Authors

 5 single-authored 5 Neitzel, Ira 5 Wick, Thomas 4 Rannacher, Rolf 2 Herzog, Roland 2 Ludovici, Francesco 2 Schiela, Anton 2 Vexler, Boris 1 Beckers, Susanne 1 Behrens, Jorn 1 Besier, Michael 1 Brenner, Susanne Cecelia 1 Endtmayer, Bernhard 1 Frei, Stefan 1 Gaspoz, Fernando D. 1 Gasser, Ingenuin 1 Geiersbach, Caroline 1 Gerecht, Daniel 1 Haller-Dintelmann, Robert 1 Hintermüller, Michael 1 Kreuzer, Christian 1 Langer, Ulrich 1 Linke, Alexander 1 Meinlschmidt, Hannes 1 Merdon, Christian 1 Meyer, Christian 1 Opmeer, Mark R. 1 Ortner, Christoph 1 Rademacher, Andreas 1 Reis, Timo 1 Richter, Thomas Michael 1 Rösch, Arnd 1 Rybicki, Martin 1 Schmidt, Martin 1 Sirvent, Mathias 1 Sung, Li-Yeng 1 Ulbrich, Stefan 1 Veeser, Andreas 1 Westenberger, A. 1 Wheeler, Mary Fanett
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#### Serials

 6 SIAM Journal on Control and Optimization 2 Computers & Mathematics with Applications 2 Numerische Mathematik 2 SIAM Journal on Optimization 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Fluid Mechanics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Applied Numerical Mathematics 1 Mathematical Programming. Series A. Series B 1 Computational Optimization and Applications 1 Journal of Inverse and Ill-Posed Problems 1 Vietnam Journal of Mathematics 1 Journal of Numerical Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics
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#### Fields

 21 Calculus of variations and optimal control; optimization (49-XX) 21 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 5 Operations research, mathematical programming (90-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 247 times in 196 Documents Cited by Year
An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170
Wheeler, M. F.; Wick, T.; Wollner, W.
2014
Adaptive finite elements for elliptic optimization problems with control constraints. Zbl 1169.65068
Vexler, B.; Wollner, W.
2008
A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints. Zbl 1205.49040
Wollner, W.
2010
The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026
Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried
2014
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
2010
Barrier methods for optimal control problems with convex nonlinear gradient state constraints. Zbl 1279.90194
Schiela, A.; Wollner, W.
2011
Adaptive optimal control of the obstacle problem. Zbl 1328.65147
Meyer, Ch.; Rademacher, A.; Wollner, W.
2015
Finite-rank ADI iteration for operator Lyapunov equations. Zbl 1279.93022
Opmeer, Mark R.; Reis, Timo; Wollner, Winnifried
2013
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state. Zbl 1228.65097
Ortner, C.; Wollner, W.
2011
On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes. Zbl 1253.76022
Besier, Michael; Wollner, Winnifried
2012
Optimal $$L^{2}$$ velocity error estimate for a modified pressure-robust Crouzeix-Raviart Stokes element. Zbl 1433.76089
Linke, A.; Merdon, C.; Wollner, W.
2017
An optimal control problem governed by a regularized phase-field fracture propagation model. Zbl 1370.49003
Neitzel, I.; Wick, T.; Wollner, W.
2017
OPTPDE: A collection of problems in PDE-constrained optimization. Zbl 1320.49002
Herzog, Roland; Rösch, Arnd; Ulbrich, Stefan; Wollner, Winnifried
2014
A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator. Zbl 1273.65164
Frei, S.; Rannacher, R.; Wollner, W.
2013
A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried
2012
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. Zbl 1319.49044
Ludovici, Francesco; Wollner, Winnifried
2015
Computational aspects of pseudospectra in hydrodynamic stability analysis. Zbl 1301.76048
Gerecht, D.; Rannacher, R.; Wollner, W.
2012
Optimal control of elliptic equations with pointwise constraints on the gradient of the state in nonsmooth polygonal domains. Zbl 1255.49012
Wollner, W.
2012
Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions. Zbl 1420.35056
Haller-Dintelmann, Robert; Meinlschmidt, Hannes; Wollner, Winnifried
2019
A priori $$L^2$$-discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints. Zbl 1421.65014
Neitzel, I.; Wollner, W.
2018
A priori error estimates for optimal control problems with constraints on the gradient of the state on nonsmooth polygonal domains. Zbl 1272.49054
Wollner, Winnifried
2013
A conjugate direction method for linear systems in Banach spaces. Zbl 1372.65147
Herzog, Roland; Wollner, Winnifried
2017
Adaptive methods for PDE-based optimal control with pointwise inequality constraints. Zbl 1357.49006
Wollner, Winnifried
2010
A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty. Zbl 1452.62599
Geiersbach, Caroline; Wollner, Winnifried
2020
Quasi-best approximation in optimization with PDE constraints. Zbl 1457.49022
Gaspoz, Fernando; Kreuzer, Christian; Veeser, Andreas; Wollner, Winnifried
2020
A decomposition method for MINLPs with Lipschitz continuous nonlinearities. Zbl 1426.90053
Schmidt, Martin; Sirvent, Mathias; Wollner, Winnifried
2019
An optimal control problem governed by a regularized phase-field fracture propagation model. II: The regularization limit. Zbl 1420.49006
Neitzel, Ira; Wick, Thomas; Wollner, Winnifried
2019
On the differentiability of fluid-structure interaction problems with respect to the problem data. Zbl 1418.35316
Wick, Thomas; Wollner, Winnifried
2019
Duality based error estimation in the presence of discontinuities. Zbl 1422.65369
Beckers, Susanne; Behrens, Jörn; Wollner, Winnifried
2019
An optimization framework for the computation of time-periodic solutions of partial differential equations. Zbl 1407.65298
Richter, Thomas; Wollner, Winnifried
2018
Adaptive FEM for PDE constrained optimization with pointwise constraints on the gradient of the state. Zbl 1394.65044
Wollner, Winnifried
2008
A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty. Zbl 1452.62599
Geiersbach, Caroline; Wollner, Winnifried
2020
Quasi-best approximation in optimization with PDE constraints. Zbl 1457.49022
Gaspoz, Fernando; Kreuzer, Christian; Veeser, Andreas; Wollner, Winnifried
2020
Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions. Zbl 1420.35056
Haller-Dintelmann, Robert; Meinlschmidt, Hannes; Wollner, Winnifried
2019
A decomposition method for MINLPs with Lipschitz continuous nonlinearities. Zbl 1426.90053
Schmidt, Martin; Sirvent, Mathias; Wollner, Winnifried
2019
An optimal control problem governed by a regularized phase-field fracture propagation model. II: The regularization limit. Zbl 1420.49006
Neitzel, Ira; Wick, Thomas; Wollner, Winnifried
2019
On the differentiability of fluid-structure interaction problems with respect to the problem data. Zbl 1418.35316
Wick, Thomas; Wollner, Winnifried
2019
Duality based error estimation in the presence of discontinuities. Zbl 1422.65369
Beckers, Susanne; Behrens, Jörn; Wollner, Winnifried
2019
A priori $$L^2$$-discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints. Zbl 1421.65014
Neitzel, I.; Wollner, W.
2018
An optimization framework for the computation of time-periodic solutions of partial differential equations. Zbl 1407.65298
Richter, Thomas; Wollner, Winnifried
2018
Optimal $$L^{2}$$ velocity error estimate for a modified pressure-robust Crouzeix-Raviart Stokes element. Zbl 1433.76089
Linke, A.; Merdon, C.; Wollner, W.
2017
An optimal control problem governed by a regularized phase-field fracture propagation model. Zbl 1370.49003
Neitzel, I.; Wick, T.; Wollner, W.
2017
A conjugate direction method for linear systems in Banach spaces. Zbl 1372.65147
Herzog, Roland; Wollner, Winnifried
2017
Adaptive optimal control of the obstacle problem. Zbl 1328.65147
Meyer, Ch.; Rademacher, A.; Wollner, W.
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. Zbl 1319.49044
Ludovici, Francesco; Wollner, Winnifried
2015
An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170
Wheeler, M. F.; Wick, T.; Wollner, W.
2014
The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026
Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried
2014
OPTPDE: A collection of problems in PDE-constrained optimization. Zbl 1320.49002
Herzog, Roland; Rösch, Arnd; Ulbrich, Stefan; Wollner, Winnifried
2014
Finite-rank ADI iteration for operator Lyapunov equations. Zbl 1279.93022
Opmeer, Mark R.; Reis, Timo; Wollner, Winnifried
2013
A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator. Zbl 1273.65164
Frei, S.; Rannacher, R.; Wollner, W.
2013
A priori error estimates for optimal control problems with constraints on the gradient of the state on nonsmooth polygonal domains. Zbl 1272.49054
Wollner, Winnifried
2013
On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes. Zbl 1253.76022
Besier, Michael; Wollner, Winnifried
2012
A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried
2012
Computational aspects of pseudospectra in hydrodynamic stability analysis. Zbl 1301.76048
Gerecht, D.; Rannacher, R.; Wollner, W.
2012
Optimal control of elliptic equations with pointwise constraints on the gradient of the state in nonsmooth polygonal domains. Zbl 1255.49012
Wollner, W.
2012
Barrier methods for optimal control problems with convex nonlinear gradient state constraints. Zbl 1279.90194
Schiela, A.; Wollner, W.
2011
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state. Zbl 1228.65097
Ortner, C.; Wollner, W.
2011
A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints. Zbl 1205.49040
Wollner, W.
2010
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
2010
Adaptive methods for PDE-based optimal control with pointwise inequality constraints. Zbl 1357.49006
Wollner, Winnifried
2010
Adaptive finite elements for elliptic optimization problems with control constraints. Zbl 1169.65068
Vexler, B.; Wollner, W.
2008
Adaptive FEM for PDE constrained optimization with pointwise constraints on the gradient of the state. Zbl 1394.65044
Wollner, Winnifried
2008
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#### Cited by 367 Authors

 22 Wick, Thomas 19 Wollner, Winnifried 9 Wheeler, Mary Fanett 7 Hinze, Michael 7 Neitzel, Ira 5 Brenner, Susanne Cecelia 5 Gudi, Thirupathi 5 Hintermüller, Michael 5 Linke, Alexander 5 Merdon, Christian 5 Vexler, Boris 4 Frei, Stefan 4 Lee, Sanghyun 4 Mikelić, Andro 4 Rankin, Richard 4 Rannacher, Rolf 4 Sun, WaiChing 4 Sung, Li-Yeng 4 Ulbrich, Michael 4 Wachsmuth, Daniel 4 Yücel, Hamdullah 3 Benner, Peter 3 Chowdhury, Sudipto Paul 3 Endtmayer, Bernhard 3 Günther, Andreas 3 Herzog, Roland 3 Kahle, Christian 3 Kou, Jisheng 3 Langer, Ulrich 3 Nataraj, Neela 3 Opmeer, Mark R. 3 Otárola, Enrique 3 Reis, Timo 3 Schiela, Anton 3 Sun, Shuyu 3 Ulbrich, Stefan 3 Vohralík, Martin 2 Ahmed, Naveed 2 Allendes, Alejandro 2 Behrens, Jorn 2 Bryant, Eric C. 2 Clason, Christian 2 Deckelnick, Klaus 2 Gedicke, Joscha 2 Geiersbach, Caroline 2 Götschel, Sebastian 2 Kaltenbacher, Barbara 2 Karl, Veronika 2 Keil, Tobias 2 Khalili, Nasser 2 Lang, Jens 2 Lapin, Aleksandr Vasil’evich 2 Ludovici, Francesco 2 Massoudi, Arash 2 Meinlschmidt, Hannes 2 Meyer, Christian 2 Minion, Michael L. 2 Nandakumaran, Akamabadath K. 2 Neilan, Michael 2 Noii, Nima 2 Rabczuk, Timon 2 Rademacher, Andreas 2 Rösch, Arnd 2 Salgado, Abner J. 2 Tang, Xuhai 2 Tang, Yuelong 2 Vahab, Mehdi 2 Van Brummelen, Harald 2 Verani, Marco 2 Verhoosel, Clemens V. 1 Ahmad Ali, Ahmad 1 Ainsworth, Mark 1 Akindeinde, Saheed Ojo 1 Aldakheel, Fadi 1 Antonietti, Paola Francesca 1 Arioli, Mario 1 Bach, Annika 1 Badea, Lori 1 Bänsch, Eberhard 1 Banz, Lothar 1 Bary, Benoît 1 Basting, Steffen 1 Beckers, Susanne 1 Beirão da Veiga, Lourenço 1 Beisiegel, Nicole 1 Benedix, Olaf 1 Berger-Vergiat, Luc 1 Berre, Inga 1 Berrone, Stefano 1 Bi, Hai 1 Bigoni, Nadia 1 Bilgen, Carola 1 Böhlke, Thomas 1 Böhm, Christian 1 Bonart, Henning 1 Bonheure, Denis 1 Börgens, Eike 1 Braack, Malte 1 Brandenburg, Christian 1 Brun, Mats Kirkesæther ...and 267 more Authors
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#### Cited in 62 Serials

 38 Computer Methods in Applied Mechanics and Engineering 12 Computational Optimization and Applications 9 SIAM Journal on Numerical Analysis 8 Numerische Mathematik 7 SIAM Journal on Scientific Computing 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Control and Optimization 5 Computers & Mathematics with Applications 5 Journal of Computational Physics 4 Journal of Scientific Computing 4 SIAM Journal on Optimization 3 Inverse Problems 3 Numerical Functional Analysis and Optimization 3 Applied Numerical Mathematics 3 Lobachevskii Journal of Mathematics 3 Computational Methods in Applied Mathematics 3 Multiscale Modeling & Simulation 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Calcolo 2 Integral Equations and Operator Theory 2 Journal of Optimization Theory and Applications 2 Systems & Control Letters 2 Computational Mechanics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Mathematical Programming. Series A. Series B 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization Methods & Software 2 Computational Geosciences 2 Journal of Numerical Mathematics 2 GAMM-Mitteilungen 2 GEM - International Journal on Geomathematics 1 Archive for Rational Mechanics and Analysis 1 Journal of the Franklin Institute 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Meccanica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 ETNA. Electronic Transactions on Numerical Analysis 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Control and Related Fields 1 Results in Applied Mathematics
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#### Cited in 23 Fields

 127 Numerical analysis (65-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 65 Mechanics of deformable solids (74-XX) 48 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 17 Operations research, mathematical programming (90-XX) 8 Systems theory; control (93-XX) 6 Operator theory (47-XX) 5 Geophysics (86-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Biology and other natural sciences (92-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)