Numerical Analysis of a System of Singularly Perturbed Convection-Diffusion Equations Related to Optimal Control  

作　　者：Hans-Görg Roos Christian Reibiger 

机构地区：[1]Technische Universität Dresden,Institut für Numerische Mathematik,01062 Dresden,Germany

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2011年第4期562-575,共14页高等学校计算数学学报（英文版）

摘　　要：We consider an optimal control problem with an 1D singularly perturbed differential state equation.For solving such problems one uses the enhanced system of the state equation and its adjoint form.Thus,we obtain a system of two convectiondiffusion equations.Using linear finite elements on adapted grids we treat the effects of two layers arising at different boundaries of the domain.We proof uniform error estimates for this method on meshes of Shishkin type.We present numerical results supporting our analysis.

关 键 词：CONVECTION-DIFFUSION linear finite elements a priori analysis layer-adapted meshes singular perturbed optimal control 

分 类 号：O17[理学—数学]