A LOCAL L(2)-ERROR ANALYSIS OF THE STREAMLINE DIFFUSION METHOD FOR NONSTATIONARY CONVECTION-DIFFUSION SYSTEMS

被引：0

作者：

ZHOU, GH

机构：

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1995年 / 29卷 / 05期

关键词：

HYPERBOLIC SYSTEMS; CONVECTION-DIFFUSION PROBLEMS; FINITE ELEMENT METHOD; STREAM-LINE DIFFUSION; LOCAL ERROR ESTIMATES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the discretization of linear, nonstationary, convection-dominated, convection-diffusion systems by the streamline diffusion finite element method and give local error estimates in the energy norm for both linear scalar equations in arbitrary dimensions and for systems in one space dimension. For piecewise linear shape functions in time-space that are continuous in space and discontinuous in time, we obtain optimal local error estimates of order O(h(3/2)) in those strip regions parallel to the streamline direction in which the exact solution is smooth.

引用

页码：577 / 603

页数：27

共 50 条

[1] THE CHARACTERISTIC STREAMLINE DIFFUSION METHOD FOR CONVECTION-DIFFUSION PROBLEMS
HANSBO, P
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (02) : 239 - 253
[2] Convergence analysis of a streamline diffusion method for a singularly perturbed convection-diffusion problem
Cen, Zhongdi
Xi, Lifeng
WSEAS Transactions on Mathematics, 2008, 7 (10) : 615 - 625
[3] Linear enhancements of the streamline diffusion method for convection-diffusion problems
Madden, N
Stynes, M
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (10) : 29 - 42
[4] A Streamline Diffusion Method for a Singularly Perturbed Conservative Convection-diffusion Problem
Cen, Zhongdi
Xi, Lifeng
CEA'09: PROCEEDINGS OF THE 3RD WSEAS INTERNATIONAL CONFERENCE ON COMPUTER ENGINEERING AND APPLICATIONS, 2009, : 211 - +
[5] The streamline-diffusion method for a convection-diffusion problem with a point source
Roos, HG
Zarin, H
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 150 (01) : 109 - 128
[6] Error estimates of the discontinuous Galerkin method for nonlinear nonstationary convection-diffusion problems
Dolejsí, V
Feistauer, M
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2005, 26 (03) : 349 - 383
[7] Pointwise error estimates for a streamline diffusion scheme on a shishkin mesh for a convection-diffusion problem
Department of Mathematics, University College, Cork, Ireland
IMA J. Numer. Anal., 1 (29-59):
[8] Modified streamline diffusion schemes for convection-diffusion problems
Shih, YT
Elman, HC
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 174 (1-2) : 137 - 151
[9] Pointwise error estimates for a streamline diffusion scheme on a Shishkin mesh for a convection-diffusion problem
Guo, W
Stynes, M
IMA JOURNAL OF NUMERICAL ANALYSIS, 1997, 17 (01) : 29 - 59
[10] Robust a posteriori error estimates for nonstationary convection-diffusion equations
Verfürth, R
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 43 (04) : 1783 - 1802

← 1 2 3 4 5 →