7 citations · 28 across the 13 of their papers we have counts for
13 papers
Equations of motion for cracked beams and shallow arches
Semion Gutman, Junhong Ha, Sudeok Shon
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 th…
Variational setting for cracked beams and shallow arches
Semion Gutman, Junhong Ha, Sudeok Shon
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 rotati…
Computational method for acoustic wave focusing
A. G. Ramm, S. Gutman
Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behavior can be understood…
Modified Rayleigh Conjecture Method and Its Applications
A. G. Ramm, S. Gutman
The Rayleigh conjecture about convergence up to the boundary of the series representing the scattered field in the exterior of an obstacle is widely used by engineers in applic…
Analysis of a method for identification of obstacles
Alexander G. Ramm, Semion Gutman
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. Num…
Numerical Solution of Obstacle Scattering Problems
Alexander G. Ramm, Semion Gutman
Some novel numerical approaches to solving direct and inverse obstacle scattering problems (IOSP) are presented. Scattering by finite obstacles and by periodic structures is consid…