TY - GEN A1 - Linke, Alexander A1 - Matthies, Gunar A1 - Tobiska, Lutz T1 - Non-Nested Multi-Grid Solvers for Mixed Divergence-free Scott-Vogelius Discretizations N2 - We apply the general framework developed by John et al. in [15] to analyze the convergence of multi-level methods for mixed finite element discretizations of the generalized Stokes problem using the Scott-Vogelius element. Having in mind that semi-implicit operator splitting schemes for the Navier-Stokes equations lead to this class of problems, we take symmetric stabilization operators into account. The use of the class of Scott-Vogelius elements seems to be promising since discretely divergence-free functions are pointwise divergence-free. However, to satisfy the Ladyzhenskaya-Babuska-Brezzi stability condition, we have to deal in the multi-grid analysis with non-nested families of meshes which are derived from nested macro element triangulations. KW - Non-Nested Multi-Grid KW - Stabilized Finite Elements KW - Navier-Stokes Equations KW - LBB-Stability Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/425 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4251 ER -