Robust multigrid methods for isogeometric discretizations of the Stokes equations
It provides a robust solver for Stokes equations in isogeometric analysis, a domain-specific problem for computational fluid dynamics.
The paper extends a robust multigrid method, previously proven for Poisson problems, to solve linear systems from isogeometric discretizations of Stokes equations, achieving convergence rates robust in grid size and polynomial degree.
In recent publications, the author and his coworkers have proposed a multigrid method for solving linear systems arizing from the discretization of partial differential equations in isogeometric analysis and have proven that the convergence rates are robust in both the grid size and the polynomial degree. So, far the method has only been discussed for the Poisson problem. In the present paper, we want to face the question if it is possible to extend the method to the Stokes equations.