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- W2059173791 abstract "It is known that for the numerical approximation of Oldroyd's B model for viscoelastic fluid flows some upwinding is needed for the convection of the extra-stress tensor. In this paper we make the numerical analysis of such an approximation with upwinding by the method of characteristics in a finite element context. The approximate stress, velocity, and pressure are, respectively, P1 discontinuous, P2 continuous, and P1 continuous. We suppose that the continuous problem admits a sufficiently smooth and sufficiently small solution. We show by a fixed point method that the approximate problem has a solution and an error bound is given." @default.
- W2059173791 created "2016-06-24" @default.
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- W2059173791 date "2001-08-01" @default.
- W2059173791 modified "2023-09-25" @default.
- W2059173791 title "Finite element approximation of viscoelastic fluid flow using characteristics method" @default.
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- W2059173791 doi "https://doi.org/10.1016/s0045-7825(01)00186-4" @default.
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