Computation of minimal norm control asymptotics relative to the null controllability of non-standard parabolic-like dynamics

被引：0

作者：

Avalos, George ^{[1
]}

Gunderson, Michael ^{[1
]}

Hottovy, Scott ^{[1
]}

机构：

[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Parabolic partial differential equations; Null controllability; Numerical analysis; THERMOELASTIC PLATES; SINGULARITY;

D O I：

10.1016/j.na.2009.06.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Semidiscrete finite element method (FEM) approximation schemes are presented for the null controllability of two non-standard parabolic PDE control systems. The key feature here is that the null controllers being approximated exhibit the asymptotics of the associated minimal energy function. The main driver is the appropriate use of a result in [R. Triggiani, Optimal estimates of norms of fast controls in exact null controllability of two non-classical abstract parabolic systems, Advances in Differential Equations 8 (2) (2003) 189-229.], which was originally devised to derive the sharp minimal norm control asymptotics for the fully continuous problem. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E2674 / E2689

页数：16