Dmytro Chibisov

Learn More
Automatic generation of smooth, non-overlapping meshes on arbitrary regions is the well-known problem. Considered as optimization task the problem may be reduced to finding a minimizer of the weighted combination of so-called length, area, and orthogonality functionals. Unfortunately , it has been shown that on the one hand, certain weights of the(More)
In this paper, we propose a symbolic-numerical algorithm for collision-free placement and motion of an object avoiding collisions with obstacles. The algorithm is based on the combination of configuration space and energy approaches. According to the configuration space approach , the position and orientation of the geometric object to be moved or placed is(More)
In the present paper<sup>1</sup> we consider the kinematic properties of robots with 6 rotational joints and describe an approach for optimization of robot motion due to given geometric and differential constraints (i.e. constraints on velocity and orientation of the robot end-effector during the execution of some tasks, and limits on velocities and(More)
We investigate the stability of the modified difference scheme of Kim and Moin for numerical integration of two-dimensional incom-pressible Navier–Stokes equations by the Fourier method and by the method of discrete perturbations. The obtained analytic-form stability condition gives the maximum time steps allowed by stability, which are by factors from 2 to(More)
  • 1