Differentiability and Control of a Model for Granular Material Accumulation

Autor:	Arndt, Rafael, Rautenberg, Carlos N.
Rok vydání:	2021
Předmět:	Mathematics - Optimization and Control 49J52
Druh dokumentu:	Working Paper
Popis:	We consider differentiability issues associated to the problem of minimizing the accumulation of a granular cohesionless material on a certain surface. The design variable or control is determined by source locations and intensity thereof. The control problem is described by an optimization problem in function space and constrained by a variational inequality or a non-smooth equation. We address a regularization approach via a family of nonlinear partial differential equations, and provide a novel result of Newton differentiability of the control-to-state map. Further, we discuss solution algorithms for the state equation as well as for the optimization problem.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.12653 Zobrazit plný text záznamu View this record from Arxiv