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: Paperback / softback
Length: 519 pages
Publication date: 20 February 2023
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. Furthermore, the book aims to validate these ideas in real-world applications across diverse fields such as optimal control of multiphase fluids and superconductors, image processing, thermoforming, and the formation of rivers and networks. Chapters authored by renowned researchers present the latest 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: 801g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030793951
Edition number: 1st ed. 2022