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

被引：5

作者：

Kim, SD ^{[1
]}

Lee, YH

机构：

[1] Kyungpook Natl Univ, Coll Nat Sci, Dept Math, Taegu 702701, South Korea

[2] Chonbuk Natl Univ, Dept Math, Chonju, South Korea

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2003年 / 19卷 / 04期

关键词：

compressible Stokes equations; Newton's method;

D O I：

10.1002/num.10061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The finite element discretization error estimate and H-1 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. (C) 2003 Wiley Periodicals, Inc.

引用

页码：511 / 524

页数：14

共 50 条

[1] On the regularity of solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
[J]. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL 1, 1999, 129 : 215 - 224
[2] Regularity of weak solutions of the compressible Navier-Stokes equations
Choe, HJ
Jin, BJ
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2003, 40 (06) : 1031 - 1050
[3] CAVITY DYNAMICS AND REGULARITY FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS
Kweon, Jae Ryong
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (05) : 4599 - 4639
[4] Regularity and uniqueness for the compressible full Navier-Stokes equations
Xu, Hao
Zhang, Jianwen
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 272 : 46 - 73
[5] Regularity for compressible isentropic Navier-Stokes equations with cylinder symmetry
Huang, Lan
Lian, Ruxu
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 16
[6] Regularity of weak solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (5-6) : 977 - 1008
[7] Regularity criterion on the energy conservation for the compressible Navier-Stokes equations
Liang, Zhilei
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (06) : 1954 - 1971
[8] Regularity for compressible isentropic Navier-Stokes equations with cylinder symmetry
Lan Huang
Ruxu Lian
[J]. Journal of Inequalities and Applications, 2016
[9] Error estimate for a two-level scheme of newton type for the Navier-Stokes equations
Hou, YR
Li, KT
[J]. CURRENT TRENDS IN SCIENTIFIC COMPUTING, 2003, 329 : 183 - 190
[10] A Numerical Method for Compressible Navier-Stokes Equations
HUANG AIXIANG(Xi’an Jiaotong University
[J]. 工程数学学报, 1990, (02) : 58 - 76

← 1 2 3 4 5 →