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Optimal control of a semiclassical Boltzmann equation for charge transport in graphene.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . May2024, Vol. 132, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- An ensemble optimal control problem governed by a semiclassical space-homogeneous Boltzmann equation for charge transport in graphene is formulated and analyzed. The control mechanism is an external time-dependent electric field having the purpose of driving the material density of electrons in graphene to follow a desired trajectory. For this purpose, an ensemble cost functional with quadratic H 1 costs is considered. Well-posedness of the control problem is proved, and the characterization of optimal controls by an optimality system is discussed. This system is approximated by a discontinuous Galerkin scheme and solved using a nonlinear conjugate gradient method. Results of numerical experiments are presented that demonstrate the ability of the proposed control framework to design control fields. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 132
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 176034366
- Full Text :
- https://doi.org/10.1016/j.cnsns.2024.107933