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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:  Ma, Chuwen;  Zheng, Weiying
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
作者:  Zhang, Shuo
收藏  |  浏览/下载：133/0  |  提交时间：2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
作者:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2021, 页码: 15
作者:  Liu, Xuefeng;  Nakao, Mitsuhiro T.;  You, Chun'guang;  Oishi, Shin'ichi
收藏  |  浏览/下载：126/0  |  提交时间：2021/04/26
Stokes equation  A posteriori error estimation  A priori error estimation  Finite element method  Hypercircle method  Eigenvalue problem  
Local weak solution of the isentropic compressible Navier-Stokes equations in a half-space 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 10
作者:  Duan, Qin;  Huang, Xiangdi
收藏  |  浏览/下载：124/0  |  提交时间：2021/01/14
Navier-Stokes equation  half-space  local weak solution  vacuum  
Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2019, 卷号: 41, 期号: 1, 页码: 14
作者:  Abbas, Suhail;  Yuan, Li;  Shah, Abdullah
收藏  |  浏览/下载：158/0  |  提交时间：2019/03/05
Incompressible Navier-Stokes equation  WENO scheme  Line Gauss-Seidel scheme  Spherical Couette flow  Spiral wavy Taylor vortex  
MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION 期刊论文
ACTA MATHEMATICA SCIENTIA, 2018, 卷号: 38, 期号: 5, 页码: 1549-1566
作者:  Huang, Feimin;  Wang, Yong
收藏  |  浏览/下载：285/0  |  提交时间：2018/11/16
Boltzmann equation  macroscopic regularity  compressible Navier-Stokes equations  
STABILITY OF PLANAR RAREFACTION WAVE TO TWO-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 卷号: 50, 期号: 5, 页码: 4937-4963
作者:  Li, Lin-An;  Wang, Yi
收藏  |  浏览/下载：172/0  |  提交时间：2019/01/11
planar rarefaction wave  stability  compressible Navier-Stokes equation  
The Navier-Stokes-alpha equation via forward-backward stochastic differential systems 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 1, 页码: 1-28
作者:  Liu, Guoping
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Navier-Stokes-alpha equation  vorticity equation  forward-backward stochastic differential equations  Feynman-Kac formula  
Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 1, 页码: 97-118
作者:  Dong, Zhao;  Peng, Xu-hui
收藏  |  浏览/下载：178/0  |  提交时间：2018/07/30
tochastic Navier-Stokes equation  asymptotically strong Feller property  ergodicity