An exactly computable Lagrange–Galerkin scheme for the Navier–Stokes equations and its error estimates

Masahisa Tabata; Shinya Uchiumi

doi:10.1090/mcom/3222

An exactly computable Lagrange–Galerkin scheme for the Navier–Stokes equations and its error estimates

Mathematics of Computation ◽

10.1090/mcom/3222 ◽

2017 ◽

Vol 87 (309) ◽

pp. 39-67 ◽

Cited By ~ 4

Author(s):

Masahisa Tabata ◽

Shinya Uchiumi

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Scheme

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Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015047 ◽

2016 ◽

Vol 50 (2) ◽

pp. 361-380 ◽

Cited By ~ 11

Author(s):

Hirofumi Notsu ◽

Masahisa Tabata

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Scheme

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Error Estimates of a Stabilized Lagrange–Galerkin Scheme of Second-Order in Time for the Navier–Stokes Equations

Mathematical Fluid Dynamics, Present and Future - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-4-431-56457-7_18 ◽

2016 ◽

pp. 497-530 ◽

Cited By ~ 1

Author(s):

Hirofumi Notsu ◽

Masahisa Tabata

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Second Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Scheme ◽

Second Order In Time

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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 ◽

Cited By ~ 5

Author(s):

Thierry Gallouët ◽

David Maltese ◽

Antonin Novotny

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Mac Scheme

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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 ◽

Cited By ~ 78

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Penalty Method ◽

Stokes Equations ◽

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 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 ◽

Cited By ~ 144

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Projection Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

First Order

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A horizontally explicit, vertically implicit (HEVI) Discontinuous Galerkin scheme for the 2-dimensional Euler and Navier-Stokes equations using terrain-following coordinates

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110635 ◽

2021 ◽

pp. 110635

Author(s):

Michael Baldauf

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

Terrain Following

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Application of a posteriori error estimates for Navier-Stokes equations to fluid flow in a channel with corners

PAMM ◽

10.1002/pamm.200310141 ◽

2003 ◽

Vol 2 (1) ◽

pp. 314-315 ◽

Cited By ~ 1

Author(s):

P. Burda ◽

J. Novotný ◽

B. Sousedík

Keyword(s):

Fluid Flow ◽

Error Estimates ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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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 ◽

Cited By ~ 116

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Projection Methods ◽

Second Order ◽

Navier Stokes ◽

Navier Stokes Equations

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