...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematics and computers in simulation >Localized forms of the LBB condition and a posteriori estimates for incompressible media problems
【24h】

Localized forms of the LBB condition and a posteriori estimates for incompressible media problems

机译：LBB条件的局部形式和不可压缩介质问题的后验估计

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The inf-sup (or LBB) condition plays a crucial role in analysis of viscous flow problems and other problems related to incompressible media. In this paper, we deduce localized forms of this condition that contain a collection of local constants associated with subdomains instead of one global constant for the whole domain. Localized forms of the LBB inequality imply estimates of the distance to the set of divergence free fields. We use them and deduce fully computable bounds of the distance between approximate and exact solutions of boundary value problems arising in the theory of viscous incompressible fluids. The estimates are valid for approximations, which satisfy the incompressibility condition only in a very weak (integral) form. Another important question considered in the paper is how to select proper measures that should be used in error analysis. We show that such a measure is dictated by the respective error identity and discuss properties of the measure for the Stokes, Oseen, and Navier-Stokes problems.
机译：inf-sup（或LBB）条件在分析粘性流动问题和其他与不可压缩介质有关的问题时起着至关重要的作用。在本文中，我们推导了这种情况的局部化形式，其中包含与子域关联的局部常数的集合，而不是整个域的一个全局常数。 LBB不等式的局部形式意味着需要估计到一组散度自由场的距离。我们使用它们并推导了粘性不可压缩流体理论中产生的边值问题的近似解与精确解之间的距离的完全可计算边界。该估计值对于近似值有效，这些近似值仅以非常弱的（整数）形式满足不可压缩性条件。本文考虑的另一个重要问题是如何选择错误分析中应使用的适当措施。我们证明了这种度量是由各自的错误身份决定的，并讨论了Stokes，Oseen和Navier-Stokes问题的度量属性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号