On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes

SIAM Journal on Numerical Analysis ◽

10.1137/0729004 ◽

1992 ◽

Vol 29 (1) ◽

pp. 57-77 ◽

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Projection Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes

Mathematics of Computation ◽

10.1090/s0025-5718-96-00750-8 ◽

1996 ◽

Vol 65 (215) ◽

pp. 1039-1066 ◽

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Projection Methods ◽

Second Order ◽

Navier Stokes ◽

Navier Stokes Equations

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On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations

Numerische Mathematik ◽

10.1007/bf01396220 ◽

1992 ◽

Vol 62 (1) ◽

pp. 49-73 ◽

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Projection Methods ◽

Higher Order ◽

Navier Stokes ◽

Navier Stokes Equations

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Space and time error estimates for a first order, pressure stabilized finite element method for the incompressible Navier–Stokes equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(01)00048-4 ◽

2001 ◽

Vol 38 (4) ◽

pp. 475-497 ◽

Author(s):

J. Blasco ◽

R. Codina

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

First Order ◽

Stabilized Finite Element Method

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Optimal first-order error estimates of a fully segregated scheme for the Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.02.025 ◽

2017 ◽

Vol 321 ◽

pp. 348-370 ◽

Author(s):

F. Guillén-González ◽

M.V. Redondo-Neble

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Order Error ◽

Navier Stokes Equations ◽

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Error estimates of finite element methods for fractional stochastic Navier–Stokes equations

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1880-y ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Xiaocui Li ◽

Xiaoyuan Yang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Error estimates for the implicit MAC scheme for the compressible Navier–Stokes equations

Numerische Mathematik ◽

10.1007/s00211-018-1007-x ◽

2018 ◽

Vol 141 (2) ◽

pp. 495-567 ◽

Author(s):

Thierry Gallouët ◽

David Maltese ◽

Antonin Novotny

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0732016 ◽

1995 ◽

Vol 32 (2) ◽

pp. 386-403 ◽

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Solution of Incompressible Navier-Stokes Equations Using Projection Methods

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/3-540-48086-2_94 ◽

2002 ◽

pp. 841-848

Author(s):

Jan Jankowski ◽

Monika Warmowska

Keyword(s):

Stokes Equations ◽

Projection Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Accuracy Analysis Based on a Posteriori Error Estimates of SemiGLS Stabilization of FEM for Solving Navier-Stokes Equations

Computational Fluid Dynamics 2008 ◽

10.1007/978-3-642-01273-0_39 ◽

2009 ◽

pp. 315-320

Author(s):

Pavel Burda ◽

Jaroslav Novotný ◽

Jakub Šístek

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

Accuracy Analysis ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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On the stability of projection methods for the incompressible Navier–Stokes equations based on high-order discontinuous Galerkin discretizations

Journal of Computational Physics ◽

10.1016/j.jcp.2017.09.031 ◽

2017 ◽

Vol 351 ◽

pp. 392-421 ◽

Author(s):

Niklas Fehn ◽

Wolfgang A. Wall ◽

Martin Kronbichler

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Projection Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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