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pro vyhledávání: '"Kisil, Anastasia"'
Motivated by research in metamaterials, we consider the challenging problem of acoustic wave scattering by a doubly periodic quadrant of sound-soft scatterers arranged in a square formation, which we have dubbed the quarter lattice. This leads to a W
Externí odkaz:
http://arxiv.org/abs/2410.23647
The diffraction of a time-harmonic plane wave on collinear finite defects in a square lattice is studied. This problem is reduced to a matrix Wiener-Hopf equation. This work adapts the recently developed iterative Wiener-Hopf method to this situation
Externí odkaz:
http://arxiv.org/abs/2402.15799
Analytical methods are fundamental in studying acoustics problems. One of the important tools is the Wiener-Hopf method, which can be used to solve many canonical problems with sharp transitions in boundary conditions on a plane/plate. However, there
Externí odkaz:
http://arxiv.org/abs/2306.17657
This paper reviews the modern state of the Wiener--Hopf factorization method and its generalizations. The main constructive results for matrix Wiener--Hopf are presented, approximation methods are outlined and the main areas of applications are menti
Externí odkaz:
http://arxiv.org/abs/2107.06088
Autor:
Kisil, Anastasia V.
This paper introduces a new method for constructing approximate solutions to a class of Wiener--Hopf equations. This is particularly useful since exact solutions of this class of Wiener--Hopf equations, at the moment, cannot be obtained. The proposed
Externí odkaz:
http://arxiv.org/abs/1703.08412
Autor:
Kisil, Anastasia V.
This paper presents new stability results for matrix Wiener--Hopf factorisation. The first part of the paper examines conditions for stability of Wiener-Hopf factorisation in Daniele--Khrapkov class. The second part of the paper concerns the class of
Externí odkaz:
http://arxiv.org/abs/1504.01108
Autor:
Kisil, Anastasia V.
In this paper the Wiener--Hopf factorisation problem is presented in a unified framework with the Riemann--Hilbert factorisation. This allows to establish the exact relationship between the two types of factorisation. In particular, in the Wiener--Ho
Externí odkaz:
http://arxiv.org/abs/1504.00877
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Autor:
Kisil, Anastasia V.
This paper presents a novel method of approximating the scalar Wiener-Hopf equation; and therefore constructing an approximate solution. The advantages of this method over the existing methods are reliability and explicit error bounds. Additionally t
Externí odkaz:
http://arxiv.org/abs/1302.3903