7 citations · 14 across the 4 of their papers we have counts for
4 papers
Optimal Motions of an Elastic Structure under Finite-Dimensional Distributed Control
Georgy Kostin, Alexander Gavrikov
An optimal control problem for longitudinal motions of a thin elastic rod is considered. We suppose that a normal force, which changes piecewise constantly along the rod's length,…
Optimal Control of Longitudinal Motions for an Elastic Rod with Distributed Forces
Georgy Kostin, Alexander Gavrikov
The study is devoted to mathematical modeling and optimal control design of longitudinal motions of a rectilinear elastic rod. The control inputs are a force, which is normal to th…
Time Optimization of Constrained Control for a Thermoelectric Solid System with a Peltier Element
Alexander Gavrikov, Georgy Kostin
A solid system consisting of two heat conducting cylinders with a thermoelectric converter (Peltier element) between them is considered. A nonlinear model, which was previously ver…
Polynomial Finite Element Method for Domains Enclosed by Piecewise Conics
Oleg Davydov, Georgii Kostin, Abid Saeed
We consider bivariate piecewise polynomial finite element spaces for curved domains bounded by piecewise conics satisfying homogeneous boundary conditions, construct stable local b…