Work presents some results on the substantiation of the finite superelement method (FSEM) for solving the Navier-Stokes equations. The equivalent weak formulation of the problem of determining the traces of the desired solution on the boundaries of superelement is built. The calculations of the flow of two-phase liquid are executed in the single-liquid model, which leads to Stokes's problem with the interface, and in the stationary version to Stokes's problem with the discontinuity coefficients.

Mathematical problems and theory of numerical methods