SOLUTION OF THE STOKES NONSTATIONARY PROBLEMS BY THE FICTITIOUS DOMAIN METHOD

We have considered the fictitious domain method for solving the system of Stokes equations with the lowest term of absorption type. This system of equations occurs when solving numerically the Stokes and Navier-Stokes nonstationary problems. We have constructed an iterative method for the two-parameter problem of the fictitious domain method whose rate of convergence is independent of these parameters. The method considered becomes an iterative method for solving the initial problem of the fictitious domain method if one of these parameters has an infinite limiting value.