Merdon, Christian; Wollner, Winnifried Pressure-robustness in the context of optimal control. (English) Zbl 1510.49039 SIAM J. Control Optim. 61, No. 1, 340-358 (2023). MSC: 49S05 49M41 65N15 76D07 PDFBibTeX XMLCite \textit{C. Merdon} and \textit{W. Wollner}, SIAM J. Control Optim. 61, No. 1, 340--358 (2023; Zbl 1510.49039) Full Text: DOI arXiv
Bezbaruah, Manaswinee; Maier, Matthias; Wollner, Winnifried Shape optimization of optical microscale inclusions. arXiv:2306.13248 Preprint, arXiv:2306.13248 [math.NA] (2023). MSC: 35Q60 49M41 65N21 65N30 BibTeX Cite \textit{M. Bezbaruah} et al., ``Shape optimization of optical microscale inclusions'', Preprint, arXiv:2306.13248 [math.NA] (2023) Full Text: arXiv OA License
Hehl, Andreas; Mohammadi, Masoumeh; Neitzel, Ira; Wollner, Winnifried Optimizing fracture propagation using a phase-field approach. (English) Zbl 1502.49026 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 329-351 (2022). MSC: 49M15 49M25 74R10 49J45 49N10 PDFBibTeX XMLCite \textit{A. Hehl} et al., ISNM, Int. Ser. Numer. Math. 172, 329--351 (2022; Zbl 1502.49026) Full Text: DOI
Hirn, Adrian; Wollner, Winnifried An optimal control problem for equations with p-structure and its finite element discretization. (English) Zbl 1487.49025 Herzog, Roland (ed.) et al., Optimization and control for partial differential equations. Uncertainty quantification, open and closed-loop control, and shape optimization. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 29, 137-165 (2022). MSC: 49K20 49M25 65N30 65N12 PDFBibTeX XMLCite \textit{A. Hirn} and \textit{W. Wollner}, Radon Ser. Comput. Appl. Math. 29, 137--165 (2022; Zbl 1487.49025) Full Text: DOI
Mohammadi, Masoumeh; Wollner, Winnifried A priori error estimates for a linearized fracture control problem. (English) Zbl 1481.49029 Optim. Eng. 22, No. 4, 2127-2149 (2021). MSC: 49M25 65N30 65N12 65N15 74S05 PDFBibTeX XMLCite \textit{M. Mohammadi} and \textit{W. Wollner}, Optim. Eng. 22, No. 4, 2127--2149 (2021; Zbl 1481.49029) Full Text: DOI
Brenner, S. C.; Sung, L.-Y.; Wollner, W. Finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state. (English) Zbl 1481.49013 Optim. Eng. 22, No. 4, 1989-2008 (2021). MSC: 49J40 65N30 49J20 65K15 65K10 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Optim. Eng. 22, No. 4, 1989--2008 (2021; Zbl 1481.49013) Full Text: DOI arXiv
Geiersbach, Caroline; Wollner, Winnifried Optimality conditions for convex stochastic optimization problems in Banach spaces with almost sure state constraints. (English) Zbl 1484.90055 SIAM J. Optim. 31, No. 4, 2455-2480 (2021). Reviewer: Kurt Marti (München) MSC: 90C15 49K99 49N15 PDFBibTeX XMLCite \textit{C. Geiersbach} and \textit{W. Wollner}, SIAM J. Optim. 31, No. 4, 2455--2480 (2021; Zbl 1484.90055) Full Text: DOI arXiv
Geiersbach, Caroline; Wollner, Winnifried A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty. (English) Zbl 1452.62599 SIAM J. Sci. Comput. 42, No. 5, A2750-A2772 (2020). MSC: 62L20 35Q93 60H35 49M25 PDFBibTeX XMLCite \textit{C. Geiersbach} and \textit{W. Wollner}, SIAM J. Sci. Comput. 42, No. 5, A2750--A2772 (2020; Zbl 1452.62599) Full Text: DOI arXiv
Brenner, Susanne C.; Sung, Li-yeng; Wollner, Winnifried A one dimensional elliptic distributed optimal control problem with pointwise derivative constraints. (English) Zbl 1447.49001 Numer. Funct. Anal. Optim. 41, No. 13, 1549-1563 (2020). MSC: 49J15 65N30 65N15 49J40 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Funct. Anal. Optim. 41, No. 13, 1549--1563 (2020; Zbl 1447.49001) Full Text: DOI arXiv
Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W. Multigoal-oriented optimal control problems with nonlinear PDE constraints. (English) Zbl 1445.49012 Comput. Math. Appl. 79, No. 10, 3001-3026 (2020). MSC: 49K20 65M60 49M25 49M41 PDFBibTeX XMLCite \textit{B. Endtmayer} et al., Comput. Math. Appl. 79, No. 10, 3001--3026 (2020; Zbl 1445.49012) Full Text: DOI arXiv
Gaspoz, Fernando; Kreuzer, Christian; Veeser, Andreas; Wollner, Winnifried Quasi-best approximation in optimization with PDE constraints. (English) Zbl 1457.49022 Inverse Probl. 36, No. 1, Article ID 014004, 29 p. (2020). MSC: 49M41 49J20 90C20 PDFBibTeX XMLCite \textit{F. Gaspoz} et al., Inverse Probl. 36, No. 1, Article ID 014004, 29 p. (2020; Zbl 1457.49022) Full Text: DOI arXiv
Neitzel, Ira; Wick, Thomas; Wollner, Winnifried An optimal control problem governed by a regularized phase-field fracture propagation model. II: The regularization limit. (English) Zbl 1420.49006 SIAM J. Control Optim. 57, No. 3, 1672-1690 (2019). MSC: 49J21 49K21 74R10 PDFBibTeX XMLCite \textit{I. Neitzel} et al., SIAM J. Control Optim. 57, No. 3, 1672--1690 (2019; Zbl 1420.49006) Full Text: DOI
Wick, Thomas; Wollner, Winnifried Optimization with nonstationary, nonlinear monolithic fluid-structure interaction. arXiv:1910.03424 Preprint, arXiv:1910.03424 [math.NA] (2019). MSC: 49M29 65K10 65M60 74F10 BibTeX Cite \textit{T. Wick} and \textit{W. Wollner}, ``Optimization with nonstationary, nonlinear monolithic fluid-structure interaction'', Preprint, arXiv:1910.03424 [math.NA] (2019) Full Text: DOI arXiv OA License
Richter, Thomas; Wollner, Winnifried An optimization framework for the computation of time-periodic solutions of partial differential equations. (English) Zbl 1407.65298 Vietnam J. Math. 46, No. 4, 949-966 (2018). MSC: 65N30 65J08 49J20 49M15 65K10 65M06 35B09 65M12 PDFBibTeX XMLCite \textit{T. Richter} and \textit{W. Wollner}, Vietnam J. Math. 46, No. 4, 949--966 (2018; Zbl 1407.65298) Full Text: DOI
Ludovici, Francesco; Neitzel, Ira; Wollner, Winnifried A priori error estimates for state-constrained semilinear parabolic optimal control problems. (English) Zbl 1398.49021 J. Optim. Theory Appl. 178, No. 2, 317-348 (2018). MSC: 49M25 65M12 65M15 65M60 35K58 49K20 35B45 PDFBibTeX XMLCite \textit{F. Ludovici} et al., J. Optim. Theory Appl. 178, No. 2, 317--348 (2018; Zbl 1398.49021) Full Text: DOI
Neitzel, I.; Wick, T.; Wollner, W. An optimal control problem governed by a regularized phase-field fracture propagation model. (English) Zbl 1370.49003 SIAM J. Control Optim. 55, No. 4, 2271-2288 (2017). MSC: 49J21 49K21 74R10 49J45 PDFBibTeX XMLCite \textit{I. Neitzel} et al., SIAM J. Control Optim. 55, No. 4, 2271--2288 (2017; Zbl 1370.49003) Full Text: DOI
Ludovici, Francesco; Wollner, Winnifried 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. (English) Zbl 1319.49044 SIAM J. Control Optim. 53, No. 2, 745-770 (2015). MSC: 49M25 65M60 65M15 65M12 PDFBibTeX XMLCite \textit{F. Ludovici} and \textit{W. Wollner}, SIAM J. Control Optim. 53, No. 2, 745--770 (2015; Zbl 1319.49044) Full Text: DOI Link
Gasser, Ingenuin; Rybicki, Martin; Wollner, Winnifried Optimal control of the temperature in a catalytic converter. (English) Zbl 1381.49042 Comput. Math. Appl. 67, No. 8, 1521-1544 (2014). MSC: 49N90 76N15 80A25 82C40 PDFBibTeX XMLCite \textit{I. Gasser} et al., Comput. Math. Appl. 67, No. 8, 1521--1544 (2014; Zbl 1381.49042) Full Text: DOI
Herzog, Roland; Rösch, Arnd; Ulbrich, Stefan; Wollner, Winnifried OPTPDE: A collection of problems in PDE-constrained optimization. (English) Zbl 1320.49002 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 539-543 (2014). MSC: 49-02 49J20 PDFBibTeX XMLCite \textit{R. Herzog} et al., ISNM, Int. Ser. Numer. Math. 165, 539--543 (2014; Zbl 1320.49002) Full Text: DOI
Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. (English) Zbl 1408.49026 SIAM J. Optim. 24, No. 1, 108-126 (2014). MSC: 49M30 49J52 49J20 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., SIAM J. Optim. 24, No. 1, 108--126 (2014; Zbl 1408.49026) Full Text: DOI Link
Wollner, Winnifried A priori error estimates for optimal control problems with constraints on the gradient of the state on nonsmooth polygonal domains. (English) Zbl 1272.49054 Bredies, Kristian (ed.) et al., Control and optimization with PDE constraints. Based on the international workshop on control and optimization of PDEs, Mariatrost, Austria, October 10–14, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0630-5/hbk; 978-3-0348-0631-2/ebook). ISNM. International Series of Numerical Mathematics 164, 193-215 (2013). MSC: 49M25 65N30 65N12 PDFBibTeX XMLCite \textit{W. Wollner}, ISNM, Int. Ser. Numer. Math. 164, 193--215 (2013; Zbl 1272.49054) Full Text: DOI
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. (English) Zbl 1356.49052 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 349-373 (2012). MSC: 49M25 65N30 65K10 90C59 PDFBibTeX XMLCite \textit{R. Rannacher} et al., ISNM, Int. Ser. Numer. Math. 160, 349--373 (2012; Zbl 1356.49052) Full Text: DOI
Wollner, W. Optimal control of elliptic equations with pointwise constraints on the gradient of the state in nonsmooth polygonal domains. (English) Zbl 1255.49012 SIAM J. Control Optim. 50, No. 4, 2117-2129 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49J20 49K20 49N60 PDFBibTeX XMLCite \textit{W. Wollner}, SIAM J. Control Optim. 50, No. 4, 2117--2129 (2012; Zbl 1255.49012) Full Text: DOI Link
Ortner, C.; Wollner, W. A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state. (English) Zbl 1228.65097 Numer. Math. 118, No. 3, 587-600 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K10 65N30 49K20 49M25 PDFBibTeX XMLCite \textit{C. Ortner} and \textit{W. Wollner}, Numer. Math. 118, No. 3, 587--600 (2011; Zbl 1228.65097) Full Text: DOI Link
Schiela, A.; Wollner, W. Barrier methods for optimal control problems with convex nonlinear gradient state constraints. (English) Zbl 1279.90194 SIAM J. Optim. 21, No. 1, 269-286 (2011). MSC: 90C51 49M05 PDFBibTeX XMLCite \textit{A. Schiela} and \textit{W. Wollner}, SIAM J. Optim. 21, No. 1, 269--286 (2011; Zbl 1279.90194) Full Text: DOI
Wollner, W. A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints. (English) Zbl 1205.49040 Comput. Optim. Appl. 47, No. 1, 133-159 (2010). MSC: 49M25 65M60 90C51 PDFBibTeX XMLCite \textit{W. Wollner}, Comput. Optim. Appl. 47, No. 1, 133--159 (2010; Zbl 1205.49040) Full Text: DOI
Wollner, Winnifried Adaptive methods for PDE-based optimal control with pointwise inequality constraints. (English) Zbl 1357.49006 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). ii, 135 p. (2010). MSC: 49-02 49J30 PDFBibTeX XMLCite \textit{W. Wollner}, Adaptive methods for PDE-based optimal control with pointwise inequality constraints. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2010; Zbl 1357.49006) Full Text: Link
Wollner, Winnifried Adaptive FEM for PDE constrained optimization with pointwise constraints on the gradient of the state. (English) Zbl 1394.65044 PAMM, Proc. Appl. Math. Mech. 8, 10873-10874 (2008). MSC: 65K10 65N30 49M15 PDFBibTeX XMLCite \textit{W. Wollner}, PAMM, Proc. Appl. Math. Mech. 8, 10873--10874 (2008; Zbl 1394.65044) Full Text: DOI
Vexler, B.; Wollner, W. Adaptive finite elements for elliptic optimization problems with control constraints. (English) Zbl 1169.65068 SIAM J. Control Optim. 47, No. 1, 509-534 (2008). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65K10 49M15 PDFBibTeX XMLCite \textit{B. Vexler} and \textit{W. Wollner}, SIAM J. Control Optim. 47, No. 1, 509--534 (2008; Zbl 1169.65068) Full Text: DOI Link