ERROR ESTIMATES FOR THE NUMERICAL APPROXIMATION OF A DISTRIBUTED OPTIMAL CONTROL PROBLEM GOVERNED BY THE VON KARMAN EQUATIONS

被引：7

作者：

Mallik, Gouranga ^{[1
]}

Nataraj, Neela ^{[1
]}

Raymond, Jean-Pierre ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India

[2] Univ Paul Sabatier Toulouse III, Inst Math Toulouse, UMR CNRS 5219, F-31062 Toulouse 9, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2018年 / 52卷 / 03期

关键词：

von Karman equations; distributed control; plate bending; semilinear; conforming finite element methods; error estimates; FINITE-ELEMENT APPROXIMATION; NAVIER-STOKES EQUATIONS; THIN ELASTIC PLATE; INTERIOR PENALTY METHOD; VONKARMAN EQUATIONS;

D O I：

10.1051/m2an/2018023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the numerical approximation of a distributed optimal control problem governed by the von Karman equations, defined in polygonal domains with point-wise control constraints. Conforming finite elements are employed to discretize the state and adjoint variables. The control is discretized using piece-wise constant approximations. A priori error estimates are derived for the state, adjoint and control variables. Numerical results that justify the theoretical results are presented.

引用

页码：1137 / 1172

页数：36

共 30 条

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