Abstract
When combining the numerical concept of variational discretization introduced in [Hin03, Hin05] and semi-smooth Newton methods for the numerical solution of pde constrained optimization with control constraints [HIK03, Ulb03] special emphasis has to be placed on the implementation, convergence and globalization of the numerical algorithm. In the present work we address all these issues following [HV]. In particular we prove fast local convergence 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.KeywordsVariational discretizationsemi-smooth Newton methodprimaldual active set strategyElliptic optimal control problemcontrol constraintserror estimates.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
