A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations

In this paper, a reduced-order extrapolation algorithm (ROEA) based on proper orthogonal decomposition (POD) technique and classical stabilized finite volume element (SFVE) method for non-stationary Stokes equations is established. The error estimates between the ROEA solutions and the classical SFVE solutions and the implementation for solving ROEA are provided. Some numerical examples are used to verify that the results of numerical computation are consistent with theoretical conclusions. Moreover, it is shown that ROEA based on SFVE formulation and POD method is feasible and efficient for solving non-stationary Stokes equations.