The boundary-value problem for the transport equation with purely Compton scattering.
Anikonov, D.S., Konovalova, D.S. (2005)
Sibirskij Matematicheskij Zhurnal
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Anikonov, D.S., Konovalova, D.S. (2005)
Sibirskij Matematicheskij Zhurnal
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Mamedov, Khanlar R. (2010)
Boundary Value Problems [electronic only]
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Xavier Claeys, Ralf Hiptmair (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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Since matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderón identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations...
Xavier Claeys, Ralf Hiptmair (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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Since matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderón identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations...
Eric Luneville, Jean-Francois Mercier (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study the time-harmonic acoustic scattering in a duct in presence of a flow and of a discontinuous impedance boundary condition. Unlike a continuous impedance, a discontinuous one leads to still open modeling questions, as in particular the singularity of the solution at the abrupt transition and the choice of the right unknown to formulate the scattering problem. To address these questions we propose a mathematical approach based on variational formulations set in weighted Sobolev...
Marco Codegone (1982)
Annales de l'I.H.P. Physique théorique
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