Error estimates of mixed finite element methods for time-fractional Navier-Stokes equations (Q520191)

The authors consider the Galerkin finite element approximation of time-fractional Navier-Stokes equations. The discretization in space is performed using the mixed finite element method whereas the time Caputo-fractional derivative is discretized by a finite difference method. By gathering the stability and convergence properties related to the time and space discretizations, the authors derive and prove error estimates for the fully discrete scheme. A numerical example is presented to support the theoretical results.