MOCOKI : A Monte Carlo approach for optimal control in the force of a linear kinetic model
MOCOKI : A Monte Carlo approach for optimal control in the force of a linear kinetic model
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2021
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Borzì, Alfio
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Computer Physics Communications ; 266 (2021). - 108030. - Elsevier. - ISSN 1386-9485. - eISSN 1879-2944
Abstract
A Monte Carlo framework for solving optimal control problems governed by kinetic models is presented. The focus is on a kinetic model with Keilson-Storer linear collision term and the control mechanism is an external space-dependent force. The purpose of this control is to drive an ensemble of particles to acquire a desired mean velocity and position and to reach a desired final configuration in phase space. For this purpose, a gradient-based computational strategy in the framework of Monte Carlo methods is developed. Results of numerical experiments successfully validate the proposed control framework.
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510 Mathematics
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BARTSCH, Jan, Alfio BORZÌ, 2021. MOCOKI : A Monte Carlo approach for optimal control in the force of a linear kinetic model. In: Computer Physics Communications. Elsevier. 266, 108030. ISSN 1386-9485. eISSN 1879-2944. Available under: doi: 10.1016/j.cpc.2021.108030BibTex
@article{Bartsch2021MOCOK-58450, year={2021}, doi={10.1016/j.cpc.2021.108030}, title={MOCOKI : A Monte Carlo approach for optimal control in the force of a linear kinetic model}, volume={266}, issn={1386-9485}, journal={Computer Physics Communications}, author={Bartsch, Jan and Borzì, Alfio}, note={Article Number: 108030} }
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