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Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:  Shen, Yue;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：63/0  |  提交时间：2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
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：152/0  |  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：127/0  |  提交时间：2021/04/26
Stokes equation  A posteriori error estimation  A priori error estimation  Finite element method  Hypercircle method  Eigenvalue problem  
Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 1, 页码: 129-157
作者:  Bian, Dong-fen;  Fan, Li-li;  He, Lin;  Zhao, Hui-jiang
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
compressible Navier-Stokes equations  inflow problem  viscous shock wave  large density oscillations  
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 35-62
作者:  Lundberg, Andrew;  Sun, Pengtao;  Wang, Cheng;  Zhang, Chen-song
收藏  |  浏览/下载：168/0  |  提交时间：2020/01/10
Transient Stokes interface problem  jump coefficients  distributed Lagrange multiplier  fictitious domain method  mixed finite element  an optimal error estimate  stability  
On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations 期刊论文
NUMERICAL ALGORITHMS, 2018, 卷号: 79, 期号: 1, 页码: 41-64
作者:  Huang, Na;  Ma, Chang-Feng
收藏  |  浏览/下载：155/0  |  提交时间：2018/10/07
Navier-Stokes equations  Saddle point problem  Spectral estimates  Preconditioner  Nonsymmetric  
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018, 卷号: 35, 期号: 1, 页码: 335-354
作者:  Xie, Manting;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载：163/0  |  提交时间：2018/07/30
Stokes eigenvalue problem  Eigenvalue bound  Crouzeix-Raviart element  Enriched Crouzeix-Raviart element  Explicit lower bound  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
浏览  |  Adobe PDF(1589Kb)  |  收藏  |  浏览/下载：488/123  |  提交时间：2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 323, 页码: 53-70
作者:  Chen, Yuyan;  Zhang, Shuo
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Incompressible Stokes problem  Nearly incompressible linear elasticity problem  Stable finite element  Conservative  
A multilevel correction method for Stokes eigenvalue problems and its applications 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 卷号: 38, 期号: 18, 页码: 4540-4552
作者:  Lin, Qun;  Luo, Fusheng;  Xie, Hehu
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Stokes eigenvalue problem  finite element method  multilevel correction  multigrid  adaptive technique