- search hit 1 of 1
Non-Nested Multi-Grid Solvers for Mixed Divergence-free Scott-Vogelius Discretizations
Please always quote using this URN:urn:nbn:de:0296-matheon-4251
- 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.
Author: | Alexander Linke, Gunar Matthies, Lutz Tobiska |
---|---|
URN: | urn:nbn:de:0296-matheon-4251 |
Referee: | Fredi Tröltzsch |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2007/11/14 |
Release Date: | 2007/10/31 |
Tag: | |
Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F10 Iterative methods for linear systems [See also 65N22] |
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Dxx Incompressible viscous fluids / 76D05 Navier-Stokes equations [See also 35Q30] | |
Preprint Number: | 416 |