| Issue |
ESAIM: M2AN
Volume 52, Number 3, May–June 2018
|
|
|---|---|---|
| Page(s) | 1137 - 1172 | |
| DOI | https://doi.org/10.1051/m2an/2018023 | |
| Published online | 13 September 2018 | |
Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations
1
Department of Mathematics, Indian Institute of Technology Bombay,
Powai,
Mumbai
400076, India.
2
Institut Mathématiques de Toulouse, UMR CNRS 5219, Université Paul Sabatier Toulouse III,
31062
Toulouse Cedex 9, France.
* Corresponding author: neela@math.iitb.ac.in
Received:
21
February
2017
Accepted:
3
April
2018
In this paper, we discuss the numerical approximation of a distributed optimal control problem governed by the von Kármán 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.
Mathematics Subject Classification: 65N30 / 65N15 / 49M05 / 49M25
Key words: von Kármán equations / distributed control / plate bending / semilinear / conforming finite element methods / error estimates.
© EDP Sciences, SMAI 2018
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