Titlebook: Non-Smooth and Complementarity-Based Distributed Parameter Systems; Simulation and Hiera Michael Hintermüller,Roland Herzog,Stefan Ulbrich

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A Calculus for Non-smooth Shape Optimization with Applications to Geometric Inverse Problems,ndary in their objective. The discrete version of the total variation functional on triangulated surfaces promotes a separation into flat and non-flat regions. Applications include mesh denoising problems as well as geometric inverse problems.

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Rate-Independent Systems and Their Viscous Regularizations: Analysis, Simulation, and Optimal Contrg of dissipative solids. Our focus is on models that include internal constraints, such as a flow rule in plasticity, and that account for the temperature dependence of the respective materials. We discuss here two cases, namely purely rate-independent models and viscously regularized models coupled to the temperature equation.

Blood-Vessels

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Shape Optimization for Variational Inequalities of Obstacle Type: Regularized and Unregularized ComTwo approaches to the solution of variational inequalities of obstacle type are discussed: quadratic regularization enabling a standard non-linear PDE constrained versus a novel approach avoiding regularization. The novel approach avoiding regularization is shown to provide analytic insight as well as superior numerical techniques.

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978-3-030-79395-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Non-Smooth and Complementarity-Based Distributed Parameter Systems978-3-030-79393-7Series ISSN 0373-3149 Series E-ISSN 2296-6072

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International Series of Numerical Mathematicshttp://image.papertrans.cn/n/image/667026.jpg

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https://doi.org/10.1007/978-3-030-79393-7Nonsmooth Systems; Distributed Parameter Systems; Complementarity; Hierarchical Optimization; Equilibriu

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Michael Hintermüller,Roland Herzog,Stefan UlbrichPresents results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems.Aims to establish a theoretical and numeri

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Numerical Methods for Diagnosis and Therapy Design of Cerebral Palsy by Bilevel Optimal Control of patient’s individual optimization criteria out of motion tracking data, and a robustified optimal control problem, in which we simulate the effect of interventions, modeled as parameter variations, on a patient’s gait while taking into account possible uncertainties.