Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method

Sang Dong Kim; Yong Hun Lee

doi:10.1002/num.10061

Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method

Sang Dong Kim^*
, Yong Hun Lee

^*Corresponding author for this work

Department of Mathematics

Kyungpook National University

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

The finite element discretization error estimate and H¹ regularity are shown for the solution generated by Newton's method to the stationary compressible Navier-Stokes equations by interpreting Newton's method as an equivalent iterative method.

Original language	English
Pages (from-to)	511-524
Number of pages	14
Journal	Numerical Methods for Partial Differential Equations
Volume	19
Issue number	4
DOIs	https://doi.org/10.1002/num.10061
State	Published - 2003.07

Keywords

Compressible Stokes equations
Newton's method

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1002/num.10061

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title = "Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method",

abstract = "The finite element discretization error estimate and H1 regularity are shown for the solution generated by Newton's method to the stationary compressible Navier-Stokes equations by interpreting Newton's method as an equivalent iterative method.",

keywords = "Compressible Stokes equations, Newton's method",

author = "Kim, \{Sang Dong\} and Lee, \{Yong Hun\}",

year = "2003",

month = jul,

doi = "10.1002/num.10061",

language = "English",

volume = "19",

pages = "511--524",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

number = "4",

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TY - JOUR

T1 - Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method

AU - Kim, Sang Dong

AU - Lee, Yong Hun

PY - 2003/7

Y1 - 2003/7

N2 - The finite element discretization error estimate and H1 regularity are shown for the solution generated by Newton's method to the stationary compressible Navier-Stokes equations by interpreting Newton's method as an equivalent iterative method.

AB - The finite element discretization error estimate and H1 regularity are shown for the solution generated by Newton's method to the stationary compressible Navier-Stokes equations by interpreting Newton's method as an equivalent iterative method.

KW - Compressible Stokes equations

KW - Newton's method

UR - https://www.scopus.com/pages/publications/0037596688

U2 - 10.1002/num.10061

DO - 10.1002/num.10061

M3 - Journal article

AN - SCOPUS:0037596688

SN - 0749-159X

VL - 19

SP - 511

EP - 524

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 4

ER -

Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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