Coupled versus decoupled penalization of control complementarity constraints
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Yu Deng | Patrick Mehlitz | Uwe Prüfert | U. Prüfert | Yu Deng | P. Mehlitz
[1] Michael Ulbrich,et al. Semismooth Newton Methods for Operator Equations in Function Spaces , 2002, SIAM J. Optim..
[2] Jane J. Ye,et al. Partial Exact Penalty for Mathematical Programs with Equilibrium Constraints , 2008 .
[3] J. C. Dunn,et al. On Second Order Sufficient Conditions for Structured Nonlinear Programs in Infinite-Dimensional Function Spaces , 2020 .
[4] Eduardo Casas,et al. Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization , 2019, SIAM J. Optim..
[5] G. Burton. Sobolev Spaces , 2013 .
[6] D. Ralph,et al. Convergence of a Penalty Method for Mathematical Programming with Complementarity Constraints , 2004 .
[7] Christian Kanzow,et al. Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-conditions, New Constraint Qualifications, and Improved Exact Penalty Results , 2010, SIAM J. Optim..
[8] Helmut Maurer,et al. First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems , 1979, Math. Program..
[9] Alfio Borzì,et al. Multigrid methods for parabolic distributed optimal control problems , 2003 .
[10] Yu Deng,et al. Optimal control in first-order Sobolev spaces with inequality constraints , 2019, Comput. Optim. Appl..
[11] Jorge J. Moré,et al. Digital Object Identifier (DOI) 10.1007/s101070100263 , 2001 .
[12] Thomas Slawig,et al. Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment , 2008, Numerical Algorithms.
[13] Gerd Wachsmuth,et al. Towards M-stationarity for Optimal Control of the Obstacle Problem with Control Constraints , 2016, SIAM J. Control. Optim..
[14] Bülent Karasözen,et al. An all-at-once approach for the optimal control of the unsteady Burgers equation , 2014, J. Comput. Appl. Math..
[15] S. Scholtes,et al. Exact Penalization of Mathematical Programs with Equilibrium Constraints , 1999 .
[16] Gerd Wachsmuth,et al. Comparison of optimality systems for the optimal control of the obstacle problem , 2018 .
[17] Eduardo Casas,et al. Second Order Analysis for Bang-Bang Control Problems of PDEs , 2012, SIAM J. Control. Optim..
[18] A. Fischer. A special newton-type optimization method , 1992 .
[19] Aurél Galántai. Properties and construction of NCP functions , 2012, Comput. Optim. Appl..
[20] Lei Guo,et al. Necessary Optimality Conditions for Optimal Control Problems with Equilibrium Constraints , 2016, SIAM J. Control. Optim..
[21] J. Lambert. Numerical Methods for Ordinary Differential Equations , 1991 .
[22] Daniel Wachsmuth,et al. Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints , 2011 .
[23] Defeng Sun,et al. On NCP-Functions , 1999, Comput. Optim. Appl..
[24] Karl Kunisch,et al. SUFFICIENT OPTIMALITY CONDITIONS AND SEMI-SMOOTH NEWTON METHODS FOR OPTIMAL CONTROL OF STATIONARY VARIATIONAL INEQUALITIES , 2012 .
[25] X. Q. Yang,et al. A Sequential Smooth Penalization Approach to Mathematical Programs with Complementarity Constraints , 2006 .
[26] Michael Ulbrich,et al. Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces , 2011, MOS-SIAM Series on Optimization.
[27] Christian Kanzow,et al. Theorie und Numerik restringierter Optimierungsaufgaben , 2002 .
[28] Bethany L. Nicholson,et al. Mathematical Programs with Equilibrium Constraints , 2021, Pyomo — Optimization Modeling in Python.
[29] Gerd Wachsmuth,et al. Mathematical Programs with Complementarity Constraints in Banach Spaces , 2014, Journal of Optimization Theory and Applications.
[30] Jong-Shi Pang,et al. Differential variational inequalities , 2008, Math. Program..
[31] Benjamin Pfaff,et al. Perturbation Analysis Of Optimization Problems , 2016 .
[32] H. Goldberg,et al. On NEMYTSKIJ Operators in Lp‐Spaces of Abstract Functions , 1992 .
[33] F. Giannessi. Variational Analysis and Generalized Differentiation , 2006 .
[34] C. Clason,et al. A convex penalty for switching control of partial differential equations , 2016, Syst. Control. Lett..
[35] M. Hintermüller,et al. On the Directional Differentiability of the Solution Mapping for a Class of Variational Inequalities of the Second Kind , 2018 .
[36] Boris S. Mordukhovich,et al. Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints , 2014, Math. Program..
[37] Michael Hintermüller,et al. First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis , 2011, SIAM J. Optim..
[38] Stefan Scholtes,et al. Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity , 2000, Math. Oper. Res..
[39] K. Kunisch,et al. A convex analysis approach to optimal controls with switching structure for partial differential equations , 2016, 1702.07540.
[40] J. Wloka,et al. Partielle differentialgleichungen : sobolevraume und Randwertaufgaben , 1982 .
[41] Gerd Wachsmuth,et al. The limiting normal cone of a complementarity set in Sobolev spaces , 2018, Optimization.
[42] G. Wachsmuth,et al. On second-order optimality conditions for optimal control problems governed by the obstacle problem , 2019, Optimization.
[43] Jorge Nocedal,et al. Interior Methods for Mathematical Programs with Complementarity Constraints , 2006, SIAM J. Optim..
[44] F. Tröltzsch. Optimal Control of Partial Differential Equations: Theory, Methods and Applications , 2010 .
[45] Stephen J. Wright,et al. Some properties of regularization and penalization schemes for MPECs , 2004, Optim. Methods Softw..
[46] Yu Deng,et al. Optimal control problems with control complementarity constraints: existence results, optimality conditions, and a penalty method , 2018, Optim. Methods Softw..
[47] V. Battaglia,et al. Numerical Methods for Ordinary Differential Equations , 2018 .
[48] B. Mordukhovich. Variational analysis and generalized differentiation , 2006 .
[49] Jane J. Ye,et al. Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints , 2005 .
[50] Christian Kanzow,et al. Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints , 2011, Mathematical Programming.
[51] Michael Ulbrich,et al. A mesh-independence result for semismooth Newton methods , 2004, Math. Program..
[52] Karl Kunisch,et al. Nonconvex penalization of switching control of partial differential equations , 2016, Syst. Control. Lett..
[53] G. Wachsmuth. Elliptic quasi-variational inequalities under a smallness assumption: uniqueness, differential stability and optimal control , 2019, Calculus of Variations and Partial Differential Equations.
[54] Zhi-Quan Luo,et al. Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints , 1996, Math. Program..
[55] Kihong Park,et al. Numerical Optimal Control of Parabolic PDES Using DASOPT , 1997 .
[56] Gerd Wachsmuth,et al. The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces , 2018 .
[57] M. Fukushima,et al. New NCP-Functions and Their Properties , 1997 .
[58] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .