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Numerical solution of Stokes equations with pressure and filtration boundary conditions. (English) Zbl 0798.76042
A numerical algorithm is presented for two-dimensional Stokes equations (plane and axisymmetric case) with pressure and filtration boundary conditions. The numerical procedure is based on a divergence-free finite element method and is applicable to multiply connected domains. Comparisons between two types of finite elements are performed in order to choose the better one. The numerical method is tested on flows with known numerical and analytical solutions and on different grids.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76D07 Stokes and related (Oseen, etc.) flows
76S05 Flows in porous media; filtration; seepage
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