数学
分段
有限元法
分歧(语言学)
斯托克斯流
子空间拓扑
常量(计算机编程)
数学分析
平方(代数)
超收敛
多边形网格
扩展有限元法
趋同(经济学)
间断伽辽金法
混合有限元法
离散化
应用数学
斯托克斯问题
收敛速度
几何学
物理
热力学
哲学
语言学
程序设计语言
计算机科学
流量(数学)
出处
期刊:Journal of Numerical Mathematics
[De Gruyter]
日期:2020-12-01
卷期号:28 (4): 247-261
标识
DOI:10.1515/jnma-2019-0056
摘要
Abstract Recently, the P 1 -nonconforming finite element space over square meshes has been proved stable to solve Stokes equations with the piecewise constant space for velocity and pressure, respectively. In this paper, we will introduce its locally divergence-free subspace to solve the elliptic problem for the velocity only decoupled from the Stokes equation. The concerning system of linear equations is much smaller compared to the Stokes equations. Furthermore, it is split into two smaller ones. After solving the velocity first, the pressure in the Stokes problem can be obtained by an explicit method very rapidly.
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