LEADER 06087nam 22007095 450 001 9910547294003321 005 20251113202720.0 010 $a3-030-79393-1 024 7 $a10.1007/978-3-030-79393-7 035 $a(MiAaPQ)EBC6892159 035 $a(Au-PeEL)EBL6892159 035 $a(CKB)21271982500041 035 $a(PPN)260825689 035 $a(OCoLC)1302010218 035 $a(DE-He213)978-3-030-79393-7 035 $a(EXLCZ)9921271982500041 100 $a20220218d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNon-Smooth and Complementarity-Based Distributed Parameter Systems $eSimulation and Hierarchical Optimization /$fedited by Michael Hintermüller, Roland Herzog, Christian Kanzow, Michael Ulbrich, Stefan Ulbrich 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (518 pages) 225 1 $aInternational Series of Numerical Mathematics,$x2296-6072 ;$v172 311 08$aPrint version: Hintermüller, Michael Non-Smooth and Complementarity-Based Distributed Parameter Systems Cham : Springer International Publishing AG,c2022 9783030793920 320 $aIncludes bibliographical references. 327 $aS. Bartels, S. Hertzog, Error Bounds for Discretized Optimal Transport and its Reliable Efficient Numerical Solution -- H. G. Bock, E. Kostina, M. Sauter, J. P. Schlöder, M. Schlöder, Numerical Methods for Diagnosis and Therapy Design of Cerebral Palsy by Bilevel Optimal Control of Constrained Biomechanical Multi-Body Systems -- S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation -- S. Dempe, F. Harder, P. Mehlitz, G. Wachsmuth, Analysis and Solution Methods for Bilevel Optimal Control Problems -- M. Herrmann, R. Herzog, S. Schmidt, J. Vidal-Núñez, A Calculus for Non-Smooth Shape Optimization with Applications to Geometric Inverse Problems -- R. Herzog, D. Knees, C. Meyer, M. Sievers, A. Stötzner, S. Thomas, Rate-Independent Systems and Their Viscous Regularizations: Analysis, Simulation, and Optimal Control -- D. Ganhururu, M. Hintermüller, S.-M. Stengl, T. M. Surowiec, Generalized Nash Equilibrium Problems with Partial Differential Operators: Theory, Algorithms, and Risk Aversion -- A. Alphonse, M. Hintermüller, C. N. Rautenberg, Stability and Sensitivity Analysis for Quasi-Variational Inequalities -- C. Gräßle, M. Hintermüller, M.Hinze, T. Keil, Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System with Variable Fluid Densities -- C. Kanzow, V. Karl, D.Steck, D. Wachsmuth, Safeguarded Augmented Lagrangian Methods in Banach Spaces -- M. Hahn, C. Kirches, P. Manns, S. Sager, C. Zeile, Decomposition and Approximation for PDE-Constrained Mixed-Integer Optimal Control -- C. Christof, C. Meyer, B. Schweizer, S. Turek, Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind -- A. Hehl, M. Mohammadi, I. Neitzel, W. Wollner, Optimizing Fracture Propagation Using a Phase-Field Approach -- A. Schiela, M. Stöcklein, Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain -- O. Weiß, A. Walther, S.Schmidt, Algorithms based on Abs-Linearization for Nonsmooth Optimization with PDE Constraints -- V. Schulz, K.Welker, Shape Optimization for Variational Inequalities of Obstacle Type: Regularized and Unregularized Computational Approaches -- J. Becker, A.Schwartz, S.Steffensen, A. Thünen, Extensions of Nash Games in Finite and Infinite Dimensions with Applications. 330 $aMany of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. This edited volume aims to establish a theoretical and numerical foundation and develop new algorithmic paradigms for the treatment of non-smooth phenomena and associated parameter influences. Other goals include the realization and further advancement of these concepts in the context of robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems, as well as their validation in the context of complex applications. Areas for which applications are considered include optimal control of multiphase fluids and of superconductors, image processing, thermoforming, and the formation of rivers and networks. Chapters are written by leading researchers and present results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019. 410 0$aInternational Series of Numerical Mathematics,$x2296-6072 ;$v172 606 $aMathematical optimization 606 $aCalculus of variations 606 $aNumerical analysis 606 $aSystem theory 606 $aControl theory 606 $aMathematics$xData processing 606 $aCalculus of Variations and Optimization 606 $aNumerical Analysis 606 $aSystems Theory, Control 606 $aComputational Science and Engineering 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aNumerical analysis. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aMathematics$xData processing. 615 14$aCalculus of Variations and Optimization. 615 24$aNumerical Analysis. 615 24$aSystems Theory, Control. 615 24$aComputational Science and Engineering. 676 $a003.78 676 $a003.78 702 $aHintermu?ller$b Michael 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910547294003321 996 $aNon-smooth and complementarity-based distributed parameter systems$92920122 997 $aUNINA