Summary
Optimal control problems in radiative transfer are solved by means of the space mapping technique. Exploiting a hierarchy of approximate models, this allows for the construction of fast numerical algorithms. The performance of the algorithms is underlined by numerical experiments.
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Alcouffe, R.E.: Nucl. Sci. Eng. 64, 344–355 (1977)
Bandler, J.W., Biernacki, R.M., Chen, S.H., Grobelny, P.A., Hemmers, R.H.: IEEE Trans. Microw. Theory Tech. 43, 2874–288 (1995)
Echeverría, D., Hemker, P.W.: Comput. Methods Appl. Math. 5(2), 107–136 (2005)
Herty, M., Pinnau, R., Seaid, M.: OMS 22(6), 917–936 (2007)
Herty, M., Pinnau, R., Thömmes, G.: ZAMM 87(5), 333–347 (2007)
Larsen, E.W., Thömmes, G., Klar, A., Seaid, M., Götz, T.: JCP 183 (2002)
Lewis, E.E., Miller, W.F. Jr.: Comput. Methods of Neutron Transport, Wiley New York (1984)
Thömmes, G.: Radioactive Heat Transfer for Glass Cooling Problems, PhD Thesis, Tu Darmstadt (2002)
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Pinnau, R., Thömmes, G. (2010). Model Hierarchies and Optimal Control of Radiative Transfer. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_64
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DOI: https://doi.org/10.1007/978-3-642-12110-4_64
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Online ISBN: 978-3-642-12110-4
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