A note on the importance of mass conservation in long-time stability of Navier–Stokes simulations using finite elements

Applied Mathematics Letters ◽

10.1016/j.aml.2015.01.018 ◽

2015 ◽

Vol 45 ◽

pp. 98-102 ◽

Author(s):

Mine Akbas Belenli ◽

Leo G. Rebholz ◽

Florentina Tone

Keyword(s):

Finite Elements ◽

Mass Conservation ◽

Navier Stokes ◽

Time Stability ◽

Long Time ◽

Long Time Stability

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On the long-time stability of the Crank–Nicolson scheme for the 2D Navier–Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20219 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1235-1248 ◽

Author(s):

Florentina Tone

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Nicolson Scheme ◽

Long Time Stability ◽

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On the long-time stability of finite element solutions of the navier-stokes equations in a rotating frame of reference

Bitlis Eren Üniversitesi Fen Bilimleri Dergisi ◽

10.17798/bitlisfen.601653 ◽

2020 ◽

Vol 9 (2) ◽

pp. 549-560

Author(s):

Mine AKBAŞ

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Frame Of Reference ◽

Navier Stokes ◽

Rotating Frame ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Long Time Stability

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On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/040618527 ◽

2006 ◽

Vol 44 (1) ◽

pp. 29-40 ◽

Author(s):

F. Tone ◽

D. Wirosoetisno

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Euler Scheme ◽

Two Dimensional ◽

Time Stability ◽

Navier Stokes Equations ◽

Implicit Euler Scheme ◽

Long Time ◽

Long Time Stability

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Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/16m1061588 ◽

2016 ◽

Vol 54 (5) ◽

pp. 3123-3144 ◽

Author(s):

Kelong Cheng ◽

Cheng Wang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Time Stability ◽

Numerical Schemes ◽

Navier Stokes Equations ◽

Long Time ◽

Long Time Stability

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Unconditional long-time stability of a velocity–vorticity method for the 2D Navier–Stokes equations

Numerische Mathematik ◽

10.1007/s00211-016-0794-1 ◽

2016 ◽

Vol 135 (1) ◽

pp. 143-167 ◽

Author(s):

Timo Heister ◽

Maxim A. Olshanskii ◽

Leo G. Rebholz

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Long Time Stability

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Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/110834901 ◽

2012 ◽

Vol 50 (1) ◽

pp. 126-150 ◽

Author(s):

S. Gottlieb ◽

F. Tone ◽

C. Wang ◽

X. Wang ◽

D. Wirosoetisno

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Efficient Scheme ◽

Long Time Stability

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Density and sound velocity measurement by an Anton Paar DSA 5000 density meter: Precision and long-time stability

Journal of Molecular Liquids ◽

10.1016/j.molliq.2021.115547 ◽

2021 ◽

Vol 329 ◽

pp. 115547

Author(s):

Zdeněk Wagner ◽

Magdalena Bendová ◽

Jan Rotrekl ◽

Adéla Sýkorová ◽

Maja Čanji ◽

...

Keyword(s):

Sound Velocity ◽

Velocity Measurement ◽

Time Stability ◽

Long Time ◽

Long Time Stability

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Sulfur-rich Benzodithieno[3,2-b]thiophene-Cored Hole Transporting Materials for Long-time Stability of Perovskite Solar Cells

Dyes and Pigments ◽

10.1016/j.dyepig.2021.109506 ◽

2021 ◽

pp. 109506

Author(s):

Shihui Liu ◽

Wei Cao ◽

Debin Xia ◽

Jian Zhang ◽

Jizhuang Fan ◽

...

Keyword(s):

Solar Cells ◽

Perovskite Solar Cells ◽

Time Stability ◽

Hole Transporting ◽

Long Time ◽

Hole Transporting Materials ◽

Long Time Stability

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Small and Bright Water-Protected Upconversion Nanoparticles with Long-Time Stability in Complex, Aqueous Media by Phospholipid Membrane Coating

Nano Letters ◽

10.1021/acs.nanolett.0c03327 ◽

2020 ◽

Vol 20 (12) ◽

pp. 8620-8625

Author(s):

Susanne Märkl ◽

Alexandra Schroter ◽

Thomas Hirsch

Keyword(s):

Aqueous Media ◽

Upconversion Nanoparticles ◽

Phospholipid Membrane ◽

Time Stability ◽

Long Time ◽

Membrane Coating ◽

Long Time Stability

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On the long-time stability of a backward Euler scheme for Burgers' equation with polynomial force

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20323 ◽

2008 ◽

Vol 24 (6) ◽

pp. 1371-1387 ◽

Author(s):

J.K. Djoko

Keyword(s):

Burgers Equation ◽

Euler Scheme ◽

Time Stability ◽

Backward Euler Scheme ◽

Backward Euler ◽

Long Time ◽

Long Time Stability

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