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Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization

Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization

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  • More about Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization

This edited volume aims to establish a theoretical and numerical foundation for the treatment of non-smooth phenomena and develop new algorithmic paradigms for robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems. It covers applications in optimal control, image processing, thermoforming, and river and network formation. Chapters are written by leading researchers from the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems.

Format: Hardback
Length: 519 pages
Publication date: 19 February 2022
Publisher: Springer Nature Switzerland AG


The study of non-differentiable structures and partial differential operators presents significant challenges in the applied sciences, resulting in the emergence of non-smooth distributed parameter systems. To address these complex phenomena, this edited volume seeks to establish a theoretical and numerical foundation while developing innovative algorithmic paradigms for their treatment. Its overarching objectives include the realization and further advancement of these concepts in robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems. These concepts will be validated in the context of diverse complex applications, such as optimal control of multiphase fluids and superconductors, image processing, thermoforming, and the formation of rivers and networks. Renowned researchers have contributed chapters to this volume, presenting results obtained during the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization, which ran from 2016 to 2019.



Non-differentiable structures and partial differential operators pose significant challenges in the applied sciences, leading to the emergence of non-smooth distributed parameter systems. To address these complex phenomena, this edited volume aims to establish a theoretical and numerical foundation while developing innovative algorithmic paradigms for their treatment. Its overarching objectives include the realization and further advancement of these concepts in robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems. These concepts will be validated in the context of diverse complex applications, such as optimal control of multiphase fluids and superconductors, image processing, thermoforming, and the formation of rivers and networks. Renowned researchers have contributed chapters to this volume, presenting results obtained during the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization, which ran from 2016 to 2019.

Weight: 951g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030793920
Edition number: 1st ed. 2022

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