Premium
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)