Optimization of Approximation Models for Solving Kinetic Equations | Zendy

Ahmedov Bahodir | Zendy; Herty Michael | Zendy; Frank Martin | Zendy

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Optimization of Approximation Models for Solving Kinetic Equations

Author(s) -

Ahmedov Bahodir,

Herty Michael,

Frank Martin

Publication year - 2014

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201410369

Subject(s) - discretization , boltzmann equation , mathematics , moment (physics) , boltzmann constant , mathematical optimization , physics , mathematical analysis , classical mechanics , thermodynamics

We consider the problem of cancer treatment using radiation therapy. A deterministic Boltzmann equation is considered as the particle transport model. The P N system of moment equations is derived using angular discretization of the transport equation. This P N system is solved using StaRMAP [3]. An optimization problem to get the desired particle distribution is formulated and solved using adjoint equations. The algorithm is validated with several simulations. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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