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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Displaying similar documents to “The problem of scattering by a mixture of cracks and obstacles.”
The boundary-value problem for the transport equation with purely Compton scattering.
On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition.
Mamedov, Khanlar R. (2010)
Boundary Value Problems [electronic only]
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Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
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...
Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
Xavier Claeys, Ralf Hiptmair (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
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...
The factorization method for cracks in inhomogeneous media
Jun Guo, Guozheng Yan, Jing Jin, Junhao Hu (2017)
Applications of Mathematics
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We consider the inverse scattering problem of determining the shape and location of a crack surrounded by a known inhomogeneous media. Both the Dirichlet boundary condition and a mixed type boundary conditions are considered. In order to avoid using the background Green function in the inversion process, a reciprocity relationship between the Green function and the solution of an auxiliary scattering problem is proved. Then we focus on extending the factorization method to our inverse...
Mathematical modeling of time-harmonic aeroacoustics with a generalized impedance boundary condition
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...