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Fully Discrete Finite Element Methods for Two-Dimensional Bingham Flows

机译:二维Bingham流的全离散有限元方法

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摘要

This paper presents fully discrete stabilized finite element methods for two-dimensional Bingham fluid flow based on the method of regularization. Motivated by the Brezzi-Pitkaranta stabilized finite element method, the equal-order piecewise linear finite element approximation is used for both the velocity and the pressure. Based on Euler semi-implicit scheme, a fully discrete scheme is introduced. It is shown that the proposed fully discrete stabilized finite element scheme results in the h(1/2) error order for the velocity in the discrete norms corresponding to L-2(0,T; H-1(Omega)(2)) boolean AND L-infinity(0, T; L-2(Omega)(2)).
机译:本文基于正则化方法,提出了二维宾汉流体的全离散稳定有限元方法。受Brezzi-Pitkaranta稳定有限元方法的启发,对速度和压力均使用等阶分段线性有限元逼近。基于欧拉半隐式方案,提出了一种完全离散的方案。结果表明,所提出的完全离散稳定有限元格式导致对应于L-2(0,T; H-1(Omega)(2))的离散范式中的速度的h(1/2)误差级。布尔AND L-infinity(0,T; L-2Omega(2))。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|4865849.1-4865849.13|共13页
  • 作者

    Fang Cheng; Li Yuan;

  • 作者单位

    Zhejiang Univ Finance & Econ, Sch Data Sci, Hangzhou 310018, Zhejiang, Peoples R China;

    Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China;

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