Iterative penalty methods for the steady Navier-Stokes equations

Hailong Qiu; Liquan Mei; Yamiao Zhang

doi:10.1016/j.amc.2014.03.112

Iterative penalty methods for the steady Navier-Stokes equations

Hailong Qiu
, Liquan Mei
, Yamiao Zhang

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

This paper presents one-level and two-level iterative penalty finite element methods to approximate the solutions of steady Navier-Stokes equations. First, one-level iterative penalty finite element method is applied to solve the steady Navier-Stokes equations numerically, and its H¹ and L ² error estimates are derived. Then, two-level iterative penalty scheme is given and its error estimates are obtained for velocity and pressure. Finally, the numerical results are displayed to verify the theoretical analysis.

Original language	English
Pages (from-to)	110-119
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	237
DOIs	https://doi.org/10.1016/j.amc.2014.03.112
State	Published - 15 Jun 2014

Keywords

Error estimates
Inf-sup condition
Iterative penalty methods
Navier-Stokes equations

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10.1016/j.amc.2014.03.112

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title = "Iterative penalty methods for the steady Navier-Stokes equations",

abstract = "This paper presents one-level and two-level iterative penalty finite element methods to approximate the solutions of steady Navier-Stokes equations. First, one-level iterative penalty finite element method is applied to solve the steady Navier-Stokes equations numerically, and its H1 and L 2 error estimates are derived. Then, two-level iterative penalty scheme is given and its error estimates are obtained for velocity and pressure. Finally, the numerical results are displayed to verify the theoretical analysis.",

keywords = "Error estimates, Inf-sup condition, Iterative penalty methods, Navier-Stokes equations",

author = "Hailong Qiu and Liquan Mei and Yamiao Zhang",

year = "2014",

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doi = "10.1016/j.amc.2014.03.112",

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pages = "110--119",

journal = "Applied Mathematics and Computation",

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T1 - Iterative penalty methods for the steady Navier-Stokes equations

AU - Qiu, Hailong

AU - Mei, Liquan

AU - Zhang, Yamiao

PY - 2014/6/15

Y1 - 2014/6/15

N2 - This paper presents one-level and two-level iterative penalty finite element methods to approximate the solutions of steady Navier-Stokes equations. First, one-level iterative penalty finite element method is applied to solve the steady Navier-Stokes equations numerically, and its H1 and L 2 error estimates are derived. Then, two-level iterative penalty scheme is given and its error estimates are obtained for velocity and pressure. Finally, the numerical results are displayed to verify the theoretical analysis.

AB - This paper presents one-level and two-level iterative penalty finite element methods to approximate the solutions of steady Navier-Stokes equations. First, one-level iterative penalty finite element method is applied to solve the steady Navier-Stokes equations numerically, and its H1 and L 2 error estimates are derived. Then, two-level iterative penalty scheme is given and its error estimates are obtained for velocity and pressure. Finally, the numerical results are displayed to verify the theoretical analysis.

KW - Error estimates

KW - Inf-sup condition

KW - Iterative penalty methods

KW - Navier-Stokes equations

UR - https://www.scopus.com/pages/publications/84899029482

U2 - 10.1016/j.amc.2014.03.112

DO - 10.1016/j.amc.2014.03.112

M3 - 文章

AN - SCOPUS:84899029482

SN - 0096-3003

VL - 237

SP - 110

EP - 119

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Iterative penalty methods for the steady Navier-Stokes equations

Abstract

Keywords

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