Titlebook: Constrained Optimization and Optimal Control for Partial Differential Equations; Günter Leugering,Sebastian Engell,Stefan Ulbrich Book 201

Bridle

Cumulus

Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniquesing from finite element discretizations in space are solved with the help of a primal-dual active set approach. We show several numerical computations also involving systems of parabolic variational inequalities.

Congregate

受伤

Non-parametric Aerodynamic Shape Optimizationder shape Newton methods where the shape Hessians are studied using operator symbols. The application ranges from shape optimization of obstacles in an incompressible Navier–Stokes fluid to super- and transonic airfoil and wing optimizations.

Estrogen

https://doi.org/10.1007/978-3-211-75784-0lem. For this purpose, algorithmic advances in solving the associated algebraic Riccati equations are needed and investigated here. The computational complexity of the new algorithms is essentially proportional to the simulation of the forward problem.

大包裹

Project

https://doi.org/10.1007/978-3-211-75784-0 of the algorithm and propose a globalization strategy which is applicable in many practically relevant mathematical settings. We illustrate our analytical and algorithmical findings by numerical experiments.

Absenteeism

Heart-Rate

978-3-0348-0807-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

Agility

Structure Exploiting Adjoints for Finite Element Discretizationsfferentiation (AD) in the context of partial differential equation (PDE) constrained optimization. This includes an error analysis for the discrete adjoints computed with AD and a systematic structure exploitation including efficient checkpointing routines, especially multistage and online checkpointing approaches.