Replacing H by H-2

被引：0
|
作者：
Rokyta, M [1 ]
机构：
[1] Charles Univ, Dept Math Anal, Prague 18675, Czech Republic
来源：
APPLIED NONLINEAR ANALYSIS | 1999年
关键词：
convection dominated diffusion equation in 2D; upwind finite volume scheme; higher order finite volume scheme; a-priori error estimates; MUSCL type reconstruction/limiter;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study higher order MUSCL type finite volume scheme applied to linear convection dominated diffusion problem in a bounded convex domain Omega subset of IR2. Although the original problem is linear, the numerical problem becomes non-linear, due to MUSCL type reconstruction/limiter technique. For second order schemes, an a-priori estimate of order h(2) for the discrete L-2 norm is obtained. Moreover, we discuss the solvability of the corresponding nonlinear discrete problem.
引用
收藏
页码：469 / 484
页数：16
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