Decomposition of Vector-Valued Divergence Free Sobolev Functions and Shape Optimization for Stationary Navier–Stokes Equations

Communications in Partial Differential Equations ◽

10.1080/03605300801895258 ◽

2008 ◽

Vol 33 (3) ◽

pp. 429-449 ◽

Author(s):

Gengsheng Wang ◽

Donghui Yang

Keyword(s):

Shape Optimization ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Sobolev Functions ◽

Divergence Free ◽

Stationary Navier Stokes Equations ◽

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Using divergence free wavelets for the numerical solution of the 2-D stationary Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.04.001 ◽

2005 ◽

Vol 163 (2) ◽

pp. 593-607 ◽

Author(s):

Xiaolin Zhou ◽

Yinnian He

Keyword(s):

Numerical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Divergence Free ◽

Stationary Navier Stokes Equations

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Fixed Domain Algorithms in Shape Optimization for Stationary Navier-Stokes Equations

IFIP Advances in Information and Communication Technology - System Modeling and Optimization ◽

10.1007/978-3-642-36062-6_38 ◽

2013 ◽

pp. 378-386

Author(s):

Andrei Halanay ◽

Cornel Marius Murea

Keyword(s):

Shape Optimization ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Fixed Domain ◽

Stationary Navier Stokes Equations

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On a shape control problem for the stationary Navier-Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000125 ◽

2000 ◽

Vol 34 (6) ◽

pp. 1233-1258 ◽

Author(s):

Max D. Gunzburger ◽

Hongchul Kim ◽

Sandro Manservisi

Keyword(s):

Control Problem ◽

Shape Control ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Axisymmetric problem of non-stationary Navier-Stokes equations coupled with the heat equation

10.1063/5.0041937 ◽

2021 ◽

Author(s):

M. El Hatri ◽

R. Ghenji ◽

N. Popivanov

Keyword(s):

Heat Equation ◽

Axisymmetric Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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An Upwind Nonlinear Galerkin Finite Element Method For The Stationary Navier-Stokes Equations

10.1063/1.3452172 ◽

2010 ◽

Author(s):

Juan Wen ◽

Jane W. Z. Lu ◽

Andrew Y. T. Leung ◽

Vai Pan Iu ◽

Kai Meng Mok

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Stationary Navier Stokes Equations ◽

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Erratum to: Existence and Regularity of Very Weak Solutions of the Stationary Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-010-0310-1 ◽

2010 ◽

Vol 196 (3) ◽

pp. 1079-1080 ◽

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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A new defect-correction method for the stationary Navier-Stokes equations based on pressure projection

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4608 ◽

2017 ◽

Vol 41 (1) ◽

pp. 250-260 ◽

Author(s):

Juan Wen ◽

Yinnian He

Keyword(s):

Stokes Equations ◽

Correction Method ◽

Navier Stokes ◽

Defect Correction ◽

Navier Stokes Equations ◽

Pressure Projection ◽

Stationary Navier Stokes Equations

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Solving the stationary Navier–Stokes equations by using Taylor meshless method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.09.014 ◽

2019 ◽

Vol 98 ◽

pp. 8-16 ◽

Author(s):

Jie Yang ◽

Michel Potier-Ferry ◽

Heng Hu

Keyword(s):

Meshless Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations

Acta Mathematica Vietnamica ◽

10.1007/s40306-018-00304-3 ◽

2018 ◽

Vol 44 (2) ◽

pp. 431-448 ◽

Author(s):

Bui Trong Kien

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Solution Stability ◽

Navier Stokes Equations ◽

Second Order Optimality Conditions ◽

Stationary Navier Stokes Equations

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Finite-Difference Scheme for Stationary Navier-Stokes Equations with Variable Coefficients

Nonlinear Partial Differential Equations in Engineering and Applied Science ◽

10.1201/9780203745465-23 ◽

2017 ◽

pp. 343-371

Author(s):

Jerzyna Slomczynska ◽

Zbigniew Peradzyński

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Variable Coefficients ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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