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We consider a barotropic inviscid model of chaotic advection in a unidirectional pulsating background flow over a seamount of an elliptic form. We numerically study the process of passive tracer transport from the vortex area to the flow-through area, and in particular we give the dependence of...
In the framework of mixed and hybrid finite element methods for diffusion-type and other elliptic differential equations, it is necessary to apply numerical schemes with variables given as values of normal fluxes on the edges (faces) of the elementary cells and values of the scalar-valued...
In this paper, we consider problems involving the construction of adjoint equations for nonlinear equations of mathematical physics. Hydrodynamical-type systems, in particular, dynamic equations for two-dimensional incompressible ideal fluid are taken as the main subject of investigation. It is...
We consider the method of reconstructing the concentration of species and gases in the atmosphere by the measured values of intensity of radiation emitted and absorbed in various radiation frequency bands. At the first step, we reconstruct the altitude profile of the total absorption factor for...
In this paper we consider a variant of the additive Schwarz preconditioner for elliptic finite element problems on meshes which are strongly refined in the vicinity of the Neumann boundary condition. Local refinements can be motivated by a sharp boundary layer in the solution of the underlying...
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