Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

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Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

机译：非平滑域上的Stokes方程的非符合最小二乘谱元件方法

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In this paper we present a discontinuous least-squares spectral element method for Stokes equations with primitive variable formulation on both smooth and non-smooth domains. We propose an exponentially accurate numerical scheme based on the stability estimates and implement it on different polygonal domains. Preconditioned conjugate gradient method is used to obtain the numerical solution. (C) 2019 Elsevier B.V. All rights reserved.

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《Journal of Computational and Applied Mathematics》 |2020年第2020期|共20页
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正文语种 eng
中图分类计算数学;应用数学;
关键词
Least-squares methods; Stokes equations; Preconditioner; Corner singularities; Geometrical meshes;

机译：最小二乘法;Stokes方程;预处理器;角落奇点;几何网格;

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专利

1. Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains [J] . Journal of Computational and Applied Mathematics . 2020,第期

机译：非平滑域上的Stokes方程的非符合最小二乘谱元件方法
2. An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations [J] . Wilhelm Heinrichs Journal of engineering mathematics . 2006,第3期

机译：不可压缩的Navier-Stokes方程的带有三角元素的自适应最小二乘频谱配点方法
3. Domain decomposition for least-squares finite element methods for the Stokes equations [J] . Ye X. Applied mathematics and computation . 1998,第1期

机译：Stokes方程的最小二乘有限元方法的域分解
4. On Nonoverlapping Domain Decomposition Spectral Element Methods for the Steady Navier-Stokes Equations [C] . Yi-Zheng Hu, Chuan-Ju Xu China-Japan Seminar on Numerical Mathematics . 2006

机译：关于稳定Navier-Stokes方程的非对域分解谱元素方法
5. A least-squares/Galerkin split finite element method for incompressible and compressible Navier -Stokes equations [D] . Kumar, Rajeev 2008

机译：不可压缩和可压缩Navier -Stokes方程的最小二乘/ Galerkin分裂有限元方法
6. A Crank–Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity–stream functions [O] . Yanjie Zhou, Zhendong Luo, Fei Teng -1

机译：关于涡旋-流函数的二维非平稳斯托克斯方程的Crank-Nicolson有限谱元方法
7. Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations [O] . Liu Kuo 2012

机译：混合一阶系统最小二乘有限元方法及其在Stokes和Navier-Stokes方程中的应用

Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

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