Optimization of Approximation Models for Solving Kinetic Equations |
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| Authors: | Bahodir Ahmedov Michael Herty Martin Frank |
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| Institution: | 1. AICES Graduate School, RWTH Aachen University, Schinkelstr. 2, 52062, Aachen, Germany;2. IGPM, RWTH Aachen University,Templergraben55, 52074 Aachen, Germany;3. Center for Computational Engineering Science, RWTH Aachen University, Schinkelstr. 2, 52062, Aachen, Germany |
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| Abstract: | We consider the problem of cancer treatment using radiation therapy. A deterministic Boltzmann equation is considered as the particle transport model. The PN system of moment equations is derived using angular discretization of the transport equation. This PN 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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