Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces
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DOI：
10.1016/j.cma.2005.06.014
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发表时间：
2006-05
影响因子：
7.2
通讯作者：
B. Rivière;V. Girault
中科院分区：
文献类型：
--
作者：
B. Rivière;V. Girault
本文针对一类间断 Galerkin 方法推导了一种改进的 inf-sup 条件，用于求解稳态不可压缩 Stokes 和 Navier-Stokes 方程。计算域被细分为界面处具有不匹配网格的子域。获得最佳误差估计。提出了包括两个基准问题的数值实验。
In this paper, an improved inf–sup condition is derived for a class of discontinuous Galerkin methods for solving the steady-state incompressible Stokes and Navier–Stokes equations. The computational domain is subdivided into subdomains with non-matching meshes at the interfaces. Optimal error estimates are obtained. Numerical experiments including two benchmark problems are presented.