Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Valery P. Smyshlyaev"'
Autor:
Ilia Kamotski, Valery P. Smyshlyaev
Publikováno v:
Journal of Mathematical Sciences. 232:349-377
The spectral problem for an infinite periodic medium perturbed by a compact defect is considered. For a high contrast small e-size periodicity and a finite size defect we consider the critical e2-scaling for the contrast. We employ two-scale homogeni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d36f30cabfe08f93d1b9c4dae67548c
https://doi.org/10.1007/s10958-018-3877-y
https://doi.org/10.1007/s10958-018-3877-y
Autor:
Iskander Ibragimov, Mikhail A. Lyalinov, Yu. V. Matiyasevich, Valery P. Smyshlyaev, V. G. Romanov, Tatiana Aleksandrovna Suslina, Mikhail I. Belishev, Nina Nikolaevna Ural'tseva, Alexey Prohorovich Kiselev, S. Yu. Dobrokhotov, Serguei Vital'evich Kislyakov
Publikováno v:
Russian Mathematical Surveys. 76:193-194
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5418ee38d1cc25a80fcaf83e7d9b4f42
https://doi.org/10.1070/rm9987
https://doi.org/10.1070/rm9987
Autor:
Mikhail Anatol'evich Lyalinov, Aleksei Prokhorovich Kiselev, Valery P. Smyshlyaev, Yuri Vladimirovich Matiyasevich, Sergey Dobrokhotov, Nina Nikolaevna Ural'tseva, Serguei Vital'evich Kislyakov, Tatiana Aleksandrovna Suslina, Vladimir Gavrilovich Romanov, Il'dar Abdullovich Ibragimov, Mikhail I. Belishev
Publikováno v:
Uspekhi Matematicheskikh Nauk. 76:201-202
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::576e2db3c9161ec2ed4d29e75696625a
https://doi.org/10.4213/rm9987
https://doi.org/10.4213/rm9987
We present a simple systematic construction and analysis of solutions of the two-dimensional parabolic wave equation that exhibit far-field localisation near certain algebraic plane curves. Our solutions are complex contour integral superpositions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1896f4f4fb3cf0676b6c968f927fd78a
http://arxiv.org/abs/1806.02294
http://arxiv.org/abs/1806.02294
Autor:
IIia V. Kamotski, Valery P. Smyshlyaev
We consider elastic waves in a two-dimensional periodic lattice network of Timoshenko-type beams. We show that for general configurations involving certain highly-contrasting components a high-contrast modification of the homogenization theory is cap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7a98780bf2c476b0658f149d86d4ce1
Publikováno v:
Chandler-Wilde, S, Spence, E, Gibbs, A & Smyshlyaev, V 2020, ' High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis ', Siam Journal on Mathematical Analysis, vol. 52, no. 1, pp. 845-893 . https://doi.org/10.1137/18M1234916
This paper is concerned with resolvent estimates on the real axis for the Helmholtz equation posed in the exterior of a bounded obstacle with Dirichlet boundary conditions when the obstacle is \emph{trapping}.\ud \ud There are two resolvent estimates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b9bdeefef4c603949aa6a8c82aef3cf
http://arxiv.org/abs/1708.08415
http://arxiv.org/abs/1708.08415
Publikováno v:
Spence, E A, Kamotski, I V & Smyshlyaev, V P 2015, ' Coercivity of combined boundary integral equations in high-frequency scattering ', Communications on Pure and Applied Mathematics, vol. 68, no. 9, pp. 1587-1639 . https://doi.org/10.1002/cpa.21543
We prove that the standard second-kind integral equation formulation of the exterior Dirichlet problem for the Helmholtz equation is coercive (i.e., sign-definite) for all smooth convex domains when the wavenumber k is sufficiently large. (This integ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e26158a91c659c09f1644dc88ab74dd
https://doi.org/10.1002/cpa.21543
https://doi.org/10.1002/cpa.21543
Publikováno v:
Spence, E A, Chandler-Wilde, S N, Graham, I G & Smyshlyaev, V P 2011, ' A new frequency-uniform coercive boundary integral equation for acoustic scattering ', Communications on Pure and Applied Mathematics, vol. 64, no. 10, pp. 1384-1415 . https://doi.org/10.1002/cpa.20378
A new boundary integral operator is introduced for the solution of the soundsoft acoustic scattering problem, i.e., for the exterior problem for the Helmholtz equation with Dirichlet boundary conditions. We prove that this integral operator is coerci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6afaaf42bde0d9f440b947a709afc9a
https://doi.org/10.1002/cpa.20378
https://doi.org/10.1002/cpa.20378
Publikováno v:
IMA Journal of Numerical Analysis. 31:1253-1280
In this paper we obtain new results on Filon-type methods for computing oscillatory integrals of the form $\int_{-1}^1 f(s) \exp({\rm i}ks) \ {\rm d}s $. We use a Filon approach based on interpolating $f$ at the classical Clenshaw-Curtis points $\cos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23296d0bd93ac03e996bea9e1a1397d1
https://doi.org/10.1093/imanum/drq036
https://doi.org/10.1093/imanum/drq036
Publikováno v:
IMA Journal of Applied Mathematics. 75:676-719
We study electromagnetic plane wave diffraction by a hollow circular cone with thin walls modelled by the so-called impedance-sheet boundary conditions. By means of Kontorovich-Lebedev integral representations for the Debye potentials and a 'partial'
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e54057a522430cc915f68cd3b68c649
https://doi.org/10.1093/imamat/hxq030
https://doi.org/10.1093/imamat/hxq030