Quasisolution of the inverse 3D aerohydrodynamics problem
In the article we generalise the quasisolution approach to the planar aerohydrodynamics problems to 3D case. We search for solution in the form of the linear spline.
math-ph↗
arXiv subjects
Pyotr Ivanshin
Publications and source records attributed to Pyotr Ivanshin.
Spline-interpolation solution of 3D Dirichlet problem for one class of solids
We present the spline-interpolation approximate solution of the Dirichlet problem for the Laplace equation in the bodies of revolution, cones and cylinders. Our method is based on reduction of the 3D problem to the sequence of 2D Dirichlet problems. The main advantage of the spline-interpolation solution of the 3D Dirichlet problem is its continuity in the whole domain up to the boundary even for the case of the linear spline.
math-ph↗
Properties of two selections in metric spaces of Busemann nonpositive curvature
In this article the author presents results on the selection for the space of convex hulls of $n$ points and compacts of the complete convex metric space of Busemann nonpositve curvature. Namely, we determine Lipschitz and Hölder properties of barycenter and cirumcenter mappings.
math.MG↗