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On the hydrostatic approximation of the Navier-Stokes equations in a thin strip 期刊论文
ADVANCES IN MATHEMATICS, 2020, 卷号: 372, 页码: 42
Authors:  Paicu, Marius;  Zhang, Ping;  Zhang, Zhifei
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Incompressible Navier-Stokes equations  Hydrostatic approximation  Radius of analyticity  
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
Authors:  Zhang, Shangyou;  Zhang, Shuo
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Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
Authors:  Huang, Na;  Ma, Chang-Feng
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
Authors:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
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Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
A dynamic-solver-consistent minimum action method: With an application to 2D Navier-Stokes equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 331, 页码: 209-226
Authors:  Wan, Xiaoliang;  Yu, Haijun
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Minimum action method  Rare events  White noise  Colored noise  Finite element method  Numerical adaptivity  
A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2011, 卷号: 31, 期号: 2, 页码: 367-382
Authors:  Shi Dongyang;  Ren Jincheng;  Gong Wei
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Stationary Navier-Stokes equations  nonconforming mixed finite element scheme  optimal order error estimates  
QUASI-OPTIMALITY OF ADAPTIVE NONCONFORMING FINITE ELEMENT METHODS FOR THE STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 3, 页码: 970-991
Authors:  Becker, Roland;  Mao, Shipeng
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adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality  
Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 卷号: 209, 期号: 2, 页码: 187-207
Authors:  Liu, Huipo;  Yan, Ningning
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optimal control  Stokes equations  finite element methods  superconvergence  recovery  
Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2006, 卷号: 86, 期号: 6, 页码: 471-491
Authors:  Huang, Feimin;  Li, Jing;  Xin, Zhouping
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stokes approximation equations  large external potential forces  large-time behavior  uniform upper bound  vacuum  blowup  
Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 221, 期号: 2, 页码: 275-308
Authors:  Li, J;  Xin, ZP
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Stokes approximation equations  isentropic compressible fluids  uniform upper bound  vacuum  blowup