Static two-grid mixed finite-element approximations to the Navier-Stokes equations

Details Static two-grid mixed finite-element approximations to the Navier-Stokes equations Static two-grid mixed finite-element approximations to the Navier-Stokes equations

2010-11-12

arxiv.org/abs/1011.2972v1

Mathematics

Numerical Analysis

Scientific paper

A two-grid scheme based on mixed finite-element approximations to the incompressible Navier-Stokes equations is introduced and analyzed. In the first level the standard mixed finite-element approximation over a coarse mesh is computed. In the second level the approximation is postprocessed by solving a discrete Oseen-type problem on a finer mesh. The two-level method is optimal in the sense that, when a suitable value of the coarse mesh diameter is chosen, it has the rate of convergence of the standard mixed finite-element method over the fine mesh. Alternatively, it can be seen as a postprocessed method in which the rate of convergence is increased by one unit with respect to the coarse mesh. The analysis takes into account the loss of regularity at initial time of the solution of the Navier-Stokes equations in absence of nonlocal compatibility conditions. Some numerical experiments are shown.

Affiliated with

Also associated with

No associations

Rating

Static two-grid mixed finite-element approximations to the Navier-Stokes equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Static two-grid mixed finite-element approximations to the Navier-Stokes equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Static two-grid mixed finite-element approximations to the Navier-Stokes equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204588