Corrigenda: Fully Discrete Approximations to the Time-dependent Navier–Stokes Equations with a Projection Method in Time and Grad-div Stabilization

被引：0

作者：

Javier de Frutos

Bosco García-Archilla

Julia Novo

机构：

[1] Universidad de Valladolid,Instituto de Investigación en Matemáticas (IMUVA)

[2] Universidad de Sevilla,Departamento de Matemática Aplicada II

[3] Universidad Autónoma de Madrid,Departamento de Matemáticas

来源：

Journal of Scientific Computing | 2021年 / 88卷

关键词：

Incompressible Navier–Stokes equations; Inf-sup stable finite element methods; Grad-div stabilization; Error constants independent of the viscosity; Projection methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The proof of Lemma 5 in de Frutos et al. (J Sci Comput 80: 1330–1368, 2019) is not correct. An alternative statement of Lemma 5 and its proof is provided. With this new statement the order of convergence of the pressure is reduced by one half order in the spatial mesh size. Changes in the results relying Lemma 5 are also provided.

引用

共 50 条

[1] Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization
Javier de Frutos
Bosco García-Archilla
Julia Novo
[J]. Journal of Scientific Computing, 2019, 80 : 1330 - 1368
[2] Fully Discrete Approximations to the Time-Dependent Navier-Stokes Equations with a Projection Method in Time and Grad-Div Stabilization
de Frutos, Javier
Garcia-Archilla, Bosco
Novo, Julia
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2019, 80 (02) : 1330 - 1368
[3] Fully Discrete Approximations to the Time-dependent Navier-Stokes Equations with a Projection Method in Time and Grad-div Stabilization (vol 80, pg 1330, 2019)
de Frutos, Javier
Garcia-Archilla, Bosco
Novo, Julia
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2021, 88 (02)
[4] Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization
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[5] Numerical analysis of CNLF modular Grad-Div stabilization method for time-dependent Navier-Stokes equations
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[J]. APPLIED MATHEMATICS LETTERS, 2021, 112
[6] Analysis of the grad-div stabilization for the time-dependent Navier–Stokes equations with inf-sup stable finite elements
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[J]. Advances in Computational Mathematics, 2018, 44 : 195 - 225
[7] A Modular Grad-Div Stabilization Method for Time-Dependent Thermally Coupled MHD Equations
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[J]. ENTROPY, 2022, 24 (10)
[8] Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements
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[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2018, 44 (01) : 195 - 225
[9] On the grad-div stabilization for the steady Oseen and Navier-Stokes equations
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[J]. Calcolo, 2017, 54 : 471 - 501
[10] On the grad-div stabilization for the steady Oseen and Navier-Stokes equations
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[J]. CALCOLO, 2017, 54 (01) : 471 - 501

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