Stabilized spectral element approximation for the Navier-Stokes equations

被引：0

作者：

Gervasio, P ^{[1
]}

Saleri, F

机构：

[1] Univ Brescia, Dept Elect Automat, I-25121 Brescia, Italy

[2] Politecn Milan, Dept Math, I-20133 Milano, Italy

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 1998年 / 14卷 / 01期

关键词：

Navier-Stokes equations; spectral elements; stabilization techniques;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The conforming spectral element methods are applied to solve the linearized Navier-Stokes equations by the help of stabilization techniques like those applied for finite elements. The stability and convergence analysis is carried out and essential numerical results are presented demonstrating the high accuracy of the method as well as its robustness. (C) 1998 John Wiley & Sons, Inc.

引用

页码：115 / 141

页数：27

共 50 条

[1] COMBINED FINITE-ELEMENT AND SPECTRAL APPROXIMATION OF THE NAVIER-STOKES EQUATIONS
CANUTO, C
MADAY, Y
QUARTERONI, A
NUMERISCHE MATHEMATIK, 1984, 44 (02) : 201 - 217
[2] A SPECTRAL-TAU APPROXIMATION FOR THE STOKES AND NAVIER-STOKES EQUATIONS
SHEN, J
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1988, 22 (04): : 677 - 693
[3] A geometric cascade for the spectral approximation of the Navier-Stokes equations
Romito, M
PROBABILITY AND PARTIAL DIFFERENTIAL EQUATIONS IN MODERN APPLIED MATHEMATICS, 2005, 140 : 197 - 212
[4] Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
Ramon Codina
Jordi Blasco
Numerische Mathematik, 2000, 87 : 59 - 81
[5] Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
Codina, R
Blasco, J
NUMERISCHE MATHEMATIK, 2000, 87 (01) : 59 - 81
[6] Spectral element method for incompressible Navier-Stokes equations
Qin, Guoliang
Xu, Zhong
Ying Yong Li Xue Xue Bao/Chinese Journal of Applied Mechanics, 2000, 17 (04): : 20 - 25
[7] SPECTRAL APPROXIMATION OF THE PERIODIC-NONPERIODIC NAVIER-STOKES EQUATIONS
BERNARDI, C
MADAY, Y
METIVET, B
NUMERISCHE MATHEMATIK, 1987, 51 (06) : 655 - 700
[8] Spectral approximation of the Navier-Stokes equations coupled with the heat equation
Bernard, J. M.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (06) : 581 - 589
[9] A MIXED FINITE-ELEMENT APPROXIMATION OF THE NAVIER-STOKES EQUATIONS
LETALLEC, P
NUMERISCHE MATHEMATIK, 1980, 35 (04) : 381 - 404
[10] Stabilized formulation of the Navier-Stokes equations
Masud, A
ENGINEERING MECHANICS: PROCEEDINGS OF THE 11TH CONFERENCE, VOLS 1 AND 2, 1996, : 1135 - 1138

← 1 2 3 4 5 →