8 citations · 20 across the 8 of their papers we have counts for
8 papers
Optimization Approach in Axisymmetric Problems of Manipulating DC Currents
Gennady Alekseev, Dmitry Tereshko, Yury Shestopalov
Inverse problems of electric conductivity are studied that arise in the design of spherical shielding or cloaking shells and other functional devices used to control DC electric fi…
Mixed variational approach to finding guaranteed estimates from solutions and right-hand sides of the second-order linear elliptic equations under incomplete data
Yuri Podlipenko, Yury Shestopalov
We investigate the problem of guaranteed estimation of values of linear continuous functionals defined on solutions to mixed variational equations generated by linear elliptic prob…
Stationary iteration methods for solving 3D electromagnetic scattering problems
Alexander Samokhin, Yury Shestopalov, Kazuya Kobayashi
Generalized Chebyshev iteration (GCI) applied for solving linear equations with nonselfadjoint operators is considered. Sufficient conditions providing the convergence of iteration…
Eigenwaves in Waveguides with Dielectric Inclusions: Completeness
Yury Shestopalov, Yury Smirnov
We formulate the definition of eigenwaves and associated waves in a nonhomogeneously filled waveguide using the system of eigenvectors and associated vectors of a pencil and prove…
Eigenwaves in Waveguides with Dielectric Inclusions: Spectrum
Yury Smirnov, Yury Shestopalov
We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for…
Estimation of parameters of boundary value problems for linear ordinary differential equations with uncertain data
Olexandr Nakonechnyi, Yury Podlipenko, Yury Shestopalov
In this paper we construct optimal, in certain sense, estimates of values of linear functionals on solutions to two-point boundary value problems (BVPs) for systems of linear first…