UNIFORM ESTIMATES OF AN EULERIAN-LAGRANGIAN METHOD FOR TIME-DEPENDENT CONVECTION-DIFFUSION EQUATIONS IN MULTIPLE SPACE DIMENSIONS

被引：10
|
作者：
Wang, Hong [1 ,2 ]
Wang, Kaixin [1 ]
机构：
[1] Shandong Univ, Sch Math Sci, Jinan 250100, Shandong, Peoples R China
[2] Univ S Carolina, Dept Math, Columbia, SC 29208 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2010年 / 48卷 / 04期
基金：
美国国家科学基金会;
关键词：
characteristic methods; convergence analysis; error estimates; Eulerian-Lagrangian methods; interpolation of spaces; uniform error estimates; ADVECTION-REACTION EQUATIONS; LOCALIZED ADJOINT METHODS; ORDER ERROR ESTIMATE; CONVERGENCE ANALYSIS; ELLAM SCHEME;
D O I：
10.1137/070682952
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a priori error estimates for a family of Eulerian-Lagrangian methods for time-dependent convection-diffusion equations in multiple space dimensions, which hold uniformly with respect to the vanishing parameter e. We use the interpolation of spaces and stability estimates to derive an e-uniform estimate for problems with minimal or intermediate regularity, where the convergence rates are proportional to certain Besov norms of the initial and right-hand side data. These estimates theoretically justify the strength of Eulerian-Lagrangian methods.
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页码：1444 / 1473
页数：30
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