Analytical solutions for the neutron transport using the spectral methods.
Kadem, Abdelouahab (2006)
International Journal of Mathematics and Mathematical Sciences
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Kadem, Abdelouahab (2006)
International Journal of Mathematics and Mathematical Sciences
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Xavier Antoine, Hélène Barucq (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the...
Sébastien Pernet (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.
Agarwal, Ravi P., Nanda, Tara R. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Dosiyev, A.A., Buranay, S.Cival, Subasi, D. (2010)
Boundary Value Problems [electronic only]
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Lesnic, D. (2006)
International Journal of Mathematics and Mathematical Sciences
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Roberty, Nilson C., Nunes, Rogerio C. (2011)
Journal of Applied Mathematics
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Hani Akbari (2013)
International Journal of Applied Mathematics and Computer Science
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Abd-Elal, L.F. (1981)
International Journal of Mathematics and Mathematical Sciences
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Wen, Guochun, Xu, Zuoliang, Yang, Fengmin (2009)
Boundary Value Problems [electronic only]
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Rose, Ollie J., Adler, Carl G. (1980)
International Journal of Mathematics and Mathematical Sciences
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El Hassane Zerrik, Hamid Bourray, Ali Boutoulout (2002)
International Journal of Applied Mathematics and Computer Science
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In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which...