Reductions in a class of dissipative dynamical systems of macroscopic physics
Solution of inverse problems in contaminant transport with adsorption
Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver.
Stabilized Galerkin finite element methods for convection dominated and incompressible flow problems
In this paper, we analyze a class of stabilized finite element formulations used in computation of (i) second order elliptic boundary value problems (diffusion-convection-reaction model) and (ii) the Navier-Stokes problem (incompressible flow model). These stabilization techniques prevent numerical instabilities that might be generated by dominant convection/reaction terms in (i), (ii) or by inappropriate combinations of velocity/pressure interpolation functions in (ii). Stability and convergence...
Structure of the set of stationary solutions of viscous hydromagnetic equations with diffusivity
The evolution Darcy-Boussinesq system (a weak maximum principle and the uniqueness)
The generalized finite volume SUSHI scheme for the discretization of the peaceman model
We demonstrate some a priori estimates of a scheme using stabilization and hybrid interfaces applying to partial differential equations describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require special care while discretizing by a finite volume method SUSHI. Later,...
Нестационарное поле температур в газе и твердом теле при известном внешнем течении
О влиянии формы равочей поверхности термобура на показатели бурения льда протаибанием
О некоторых квазилинейных системах, встречающихся при изучении движения вязких жидкостей
Об одной гидродинамической модели химически активной жидкости