Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Gutman, Semion"'
Cracks in beams and shallow arches are modeled by massless rotational springs. First, we introduce a specially designed linear operator that "absorbs" the boundary conditions at the cracks. Then the equations of motion are derived from the first prin
Externí odkaz:
http://arxiv.org/abs/2110.11197
We develop a rigorous mathematical framework for the weak formulation of cracked beams and shallow arches problems. First, we discuss the crack modeling by means of massless rotational springs. Then we introduce Hilbert spaces, which are sufficiently
Externí odkaz:
http://arxiv.org/abs/2110.06406
Publikováno v:
Journal of Low Frequency Noise, Vibration & Active Control; Dec2024, Vol. 43 Issue 4, p1397-1423, 27p
Autor:
Gutman, Semion a, Ha, Junhong b, ⁎
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 August 2018 464(1):557-579
Autor:
Ramm, Alexander G., Gutman, Semion
Some novel numerical approaches to solving direct and inverse obstacle scattering problems (IOSP) are presented. Scattering by finite obstacles and by periodic structures is considered. The emphasis for solving direct scattering problem is on the Mod
Externí odkaz:
http://arxiv.org/abs/math/0409336
Autor:
Ramm, Alexander G., Gutman, Semion
Some difficulties are pointed out in the methods for identification of obstacles based on the numerical verification of the inclusion of a function in the range of an operator. Numerical examples are given to illustrate theoretical conclusions. Alter
Externí odkaz:
http://arxiv.org/abs/math-ph/0409049
Autor:
Ramm, Alexander G., Gutman, Semion
In many Direct and Inverse Scattering problems one has to use a parameter-fitting procedure, because analytical inversion procedures are often not available. In this paper a variety of such methods is presented with a discussion of theoretical and co
Externí odkaz:
http://arxiv.org/abs/math/0408209
Autor:
Gutman, Semion
Publikováno v:
J,Comp. Phys. 163 (2000), 529-546
A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the scatterer in a
Externí odkaz:
http://arxiv.org/abs/math-ph/0010041
Autor:
Gutman, Semion, Ramm, Alexander G.
Publikováno v:
Fields Institute Comm., 25, (2000), 293-304
A method for the identification of small inhomogeneities from a surface data is presented in the framework of an inverse scattering problem for the Helmholtz equation. Using the assumptions of smallness of the scatterers one reduces this inverse prob
Externí odkaz:
http://arxiv.org/abs/math-ph/0010035
Autor:
Ramm, Alexander G., Gutman, Semion
It has recently been shown that spherically symmetric potentials of finite range are uniquely determined by the part of their phase shifts at a fixed energy level $k^2>0$. However, numerical experiments show that two quite different potentials can pr
Externí odkaz:
http://arxiv.org/abs/math-ph/0010033