Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten Convergent adaptive wavelet methods for the Stokes problem. (English) Zbl 0998.76067 Dick, Erik (ed.) et al., Multigrid methods VI. Proceedings of the 6th European multigrid conference, Gent, Belgium, September 27-30, 1999. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 14, 66-72 (2000). Summary: We consider wavelet discretizations of Stokes problem in mixed and divergence-free variational formulations. For both cases, we present convergent adaptive multiscale strategies. Moreover, for adaptive wavelet discretizations of the mixed formulation, we provide an easy-to-implement criterion for enforcing stability.For the entire collection see [Zbl 0946.00020]. Cited in 2 Documents MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76D07 Stokes and related (Oseen, etc.) flows 65T60 Numerical methods for wavelets Keywords:divergence-free variational formulations; Stokes problem; adaptive wavelet discretizations; mixed formulation PDFBibTeX XMLCite \textit{S. Dahlke} et al., Lect. Notes Comput. Sci. Eng. 14, 66--72 (2000; Zbl 0998.76067)