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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].

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D07 Stokes and related (Oseen, etc.) flows
65T60 Numerical methods for wavelets
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