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Divergence-free wavelet solution to the Stokes problem. (English) Zbl 1150.42013

Summary: In this paper, we use divergence-free wavelets to give an adaptive solution to the velocity field of the Stokes problem. We first use divergence-free wavelets to discretize the divergence-free weak formulation of the Stokes problem and obtain a discrete positive definite linear system of equations whose coefficient matrix is quasi-sparse;secondly, an adaptive scheme is used to solve the discrete linear system of equations and the error estimation and complexity analysis are given.

MSC:

42C15 General harmonic expansions, frames
94A11 Application of orthogonal and other special functions
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