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A finite element approximation of three dimensional motion of a Bingham fluid. (English) Zbl 0675.76009
Summary: We approximate solutions of an initial-boundary value problem associated with the motion of a Bingham fluid in a three dimensional domain. The method of approximation consists of the backward Euler scheme in the time variable and conforming piecewise linear finite elements in the space variables augmented by the penalty method. The convergence of this scheme is proved under a mild assumption on the data. Error estimates are also obtained when the data satisfy restrictive assumptions.
76A10 Viscoelastic fluids
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