Robust Multigrid Methods for Isogeometric Discretizations of the Stokes Equations
In recent publications, the author and his coworkers have proposed a multigrid method for solving linear systems arising 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 discuss the extension the of these results to the Stokes equations.
This work was partially supported by the Austrian Science Fund (FWF): grant S117.
- 14.A. Mantzaflaris, S. Takacs et al., G+Smo. http://gs.jku.at/gismo (2017)