Stability for a certain class of numerical methods – abstract approach and application to the stationary Navier-Stokes equations

Annales de la faculté des sciences de Toulouse Mathématiques ◽

10.5802/afst.1348 ◽

2012 ◽

Vol 21 (4) ◽

pp. 651-743 ◽

Author(s):

Elżbieta Motyl

Keyword(s):

Numerical Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Abstract Approach ◽

Stationary Navier Stokes Equations

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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

Download Full-text

Numerical methods for the compressible Navier-Stokes equations using an explicit time-marching technique (Comparison between the four stage Runge-Kutta and two stage Rational Runge-Kutta schemes)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.52.3874 ◽

1986 ◽

Vol 52 (484) ◽

pp. 3874-3879

Author(s):

Masato FURUKAWA ◽

Hidetoshi TOMIOKA ◽

Masahiro INOUE

Keyword(s):

Numerical Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Two Stage ◽

Navier Stokes Equations ◽

Time Marching ◽

Runge Kutta ◽

Technique Comparison

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

An Optimal Error Estimate for a Nonconforming Finite Element Method of Upwind Type Applied to the Stationary Navier–Stokes Equations in Two and Three Dimensions

finite element methods ◽

10.1201/b16924-40 ◽

2016 ◽

pp. 427-436 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes Equations ◽

Three Dimensions ◽

Navier Stokes ◽

Optimal Error Estimate ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

Download Full-text