Axisymmetric stokes exterior problem and its numerical computation

被引：0

作者：

Neng-sheng Fang

Cai-xiu Liao

机构：

[1] Southwestern University of Finance and Economics,School of Finance

[2] Xiamen University,School of Mathematical Sciences

[3] South China Normal University,School of Mathematical Sciences

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2011年 / 27卷

关键词：

Axisymmetric flow; Stokes equation; exterior problem; infinite element method; 65N35; 76M10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish variational formulation and prove the existence and uniqueness of the three dimensional axisymmetric Stokes exterior problem in weighted spaces. Error estimates and convergence for P2 − P0 elements with infinite element methods are also obtained. Numerical experiments are presented to verify the theoretical analysis.

引用

页码：115 / 128

页数：13

共 50 条

[1] Axisymmetric stokes exterior problem and its numerical computation
Fang, Neng-sheng
Liao, Cai-xiu
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (01): : 115 - 128
[2] Exterior problem of the Darwin model and its numerical computation
Ying, LA
Li, FY
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2003, 37 (03): : 515 - 532
[3] THREE-DIMENSIONAL EXTERIOR PROBLEM OF DARWIN MODEL AND ITS NUMERICAL COMPUTATION
Fang, Nengsheng
Ying, Lung-An
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2008, 18 (10): : 1673 - 1701
[4] ASYMPTOTIC BEHAVIOR OF AN AXISYMMETRIC SOLUTION TO EXTERIOR PROBLEM OF NATIER-STOKES EQUATIONS
PUKHNACH.VV
DOKLADY AKADEMII NAUK SSSR, 1969, 186 (02): : 283 - &
[5] Exterior axisymmetric Neumann problem for the Laplace equation: Numerical algorithms without saturation
V. N. Belykh
Doklady Mathematics, 2007, 76 : 882 - 885
[6] Particular features of implementation of an unsaturated numerical method for the exterior axisymmetric Neumann problem
V. N. Belykh
Siberian Mathematical Journal, 2013, 54 : 984 - 993
[7] An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace’s equation
V. N. Belykh
Siberian Mathematical Journal, 2011, 52 : 980 - 994
[8] Exterior axisymmetric Neumann problem for the Laplace equation: Numerical algorithms without saturation
Belykh, V. N.
DOKLADY MATHEMATICS, 2007, 76 (03) : 882 - 885
[9] Particular features of implementation of an unsaturated numerical method for the exterior axisymmetric Neumann problem
Belykh, V. N.
SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (06) : 984 - 993
[10] An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace's equation
Belykh, V. N.
SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (06) : 980 - 994

← 1 2 3 4 5 →