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math.OC2020
On Shape Calculus with Elliptic PDE Constraints in Classical Function Spaces
Laura Bittner
In this thesis we develop a functional analytic framework for shape optimization with elliptic partial differential equation (PDE) constraints in classical function spaces (Hölder…
math.OC2016★ 2 cited
Modeling, Minimizing and Managing the Risk of Fatigue for Mechanical Components
L. Bittner, H. Gottschalk, M. Gröger +3
Mechanical components that are exposed to cyclic mechanical loading fail at loads that are well below the ultimate tensile strength. This process is known as fatigue. The failure t…
math.OC2016★ 3 cited
Optimal Reliability for Components under Thermomechanical Cyclic Loading
Laura Bittner, Hanno Gottschalk
We consider the existence of optimal shapes in the context of the thermomechanical system of partial differential equations (PDE) using the recent approach based on elliptic regula…