Asymptotic and discrete concepts for optimal control in radiative transfer
Optimal control problems for the radiative transfer equation and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN approximations are for the first time derived exactly and used for the study of optimal control based on reduced order mode...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Mechanik 2007-05, Vol.87 (5), p.333-347 |
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| container_title | Zeitschrift für angewandte Mathematik und Mechanik |
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| creator | Herty, M. Pinnau, R. Thömmes, G. |
| description | Optimal control problems for the radiative transfer equation and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN 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. |
| doi_str_mv | 10.1002/zamm.200610316 |
| format | Article |
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Math. Mech</addtitle><description>Optimal control problems for the radiative transfer equation and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN 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.</description><subject>adjoint calculus</subject><subject>Calculus of variations and optimal control</subject><subject>discrete ordinates</subject><subject>Exact sciences and technology</subject><subject>first-order optimality</subject><subject>iterative methods</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Numerical analysis</subject><subject>Numerical analysis. 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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | adjoint calculus Calculus of variations and optimal control discrete ordinates Exact sciences and technology first-order optimality iterative methods Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation optimal control radiative transfer Sciences and techniques of general use SPN-equations |
| title | Asymptotic and discrete concepts for optimal control in radiative transfer |
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