# Robust multigrid methods for isogeometric discretizations of the Stokes equations

## TL;DR

This paper explores extending a robust multigrid solver, previously successful for Poisson problems, to efficiently handle the more complex Stokes equations in isogeometric analysis.

## Contribution

It investigates the feasibility of adapting a proven multigrid method from Poisson to Stokes equations within isogeometric discretizations.

## Key findings

- Multigrid method shows promise for Stokes equations
- Convergence rates remain robust in grid size and polynomial degree
- Extension from Poisson to Stokes is feasible

## Abstract

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.