Nonconforming finite element method for stochastic Stokes equations

Xiaoyuan Yang; Ruisheng Qi

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Nonconforming finite element method for stochastic Stokes equations

机译：随机斯托克斯方程的非协调有限元方法

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摘要

In this paper, we study nonconforming finite element method for stochastic Stokes equation driven by white noise. We apply "green function framework" and standard duality technique to study the error estimate for velocity in L~2-norm and for pressure in H~(-1) -norm. Finally, numerical experiment proves our theoretical results.

机译：本文研究了由白噪声驱动的随机斯托克斯方程的非协调有限元方法。我们应用“绿色函数框架”和标准对偶技术研究L〜2-范数速度和H〜（-1）范数压力的误差估计。最后，数值实验证明了我们的理论结果。

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来源
《Applied Mathematical Modelling》 |2013年第8期|6110-6118|共9页
作者
Xiaoyuan Yang; Ruisheng Qi;
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作者单位

School of Mathematics and Systems Science, Beihang University, LMIB of the Ministry of Education, Beijing 100191, China;

School of Mathematics and Systems Science, Beihang University, LMIB of the Ministry of Education, Beijing 100191, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Stochastic Stokes equation; White noise; Nonconforming element;

机译：随机斯托克斯方程;白噪声;不合格元素;

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1. A nonconforming finite element method for the Stokes equations using the Crouzeix-Raviart element for the velocity and the standard linear element for the pressure [J] . Bishnu P. Lamichhane International Journal for Numerical Methods in Fluids . 2014,第3期

机译：使用Crouzeix-Raviart元素作为速度和标准线性元素作为压力的Stokes方程的非协调有限元方法
2. Connections between discontinuous Galerkin and nonconforming finite element methods for the Stokes equations [J] . Becker R., Capatina D., Joie J. Numerical Methods for Partial Differential Equations: An International Journal . 2012,第3期

机译：Stokes方程的不连续Galerkin方法与非协调有限元方法之间的联系
3. Locally stabilized P_1-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations [J] . Feng X., Kim I., Nam H., Journal of Computational and Applied Mathematics . 2011,第5期

机译：Stokes方程的局部稳定P_1-非协调四边形和六面体有限元方法
4. A Two-Level Stabilized Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations [C] . Liping Zhu, Zhangxin Chen International Conference on High Performance Computing and Applications . 2010

机译：静止Navier-Stokes方程的双层稳定的不合格有限元方法
5. Balancing Domain Decomposition by Constraints Algorithms for Incompressible Stokes Equations with Nonconforming Finite Element Discretizations [D] . Wang, Bin. 2017

机译：具有非协调有限元离散化的不可压缩Stokes方程的约束算法平衡域分解
6. Error estimates of finite element methods for fractional stochastic Navier–Stokes equations [O] . Xiaocui Li, Xiaoyuan Yang -1

机译：分数阶随机Navier–Stokes方程的有限元方法的误差估计
7. A nonconforming finite element method for the Stokes equations using the Crouzeix-Raviart element for the velocity and the standard linear element for the pressure [O] . Lamichhane, Bishnu P. 2014

机译：使用Crouzeix-Raviart元素作为速度和标准线性元素作为压力的Stokes方程的非协调有限元方法

Nonconforming finite element method for stochastic Stokes equations

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