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Asymptotic and discrete concepts for optimal control in radiative transfer
Author(s) -
Herty M.,
Pinnau R.,
Thömmes G.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200610316
Subject(s) - discretization , radiative transfer , optimal control , mathematics , adjoint equation , asymptotic analysis , approximations of π , mathematical optimization , calculus (dental) , mathematical analysis , physics , partial differential equation , quantum mechanics , medicine , dentistry
Optimal control problems for the radiative transfer equation and for approximate models are considered. Following the approach first discretize, then optimize , the discrete SP N approximations are for the first time derived exactly and used for the study of optimal control based on reduced order models. Moreover, combining asymptotic analysis and the adjoint calculus yields diffusion‐type approximations for the adjoint radiative transport equation in the spirit of the approach first optimize, then discretize .