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- Title
A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations.
- Authors
Chowdhury, Sudipto; Dond, Asha K.; Nataraj, Neela; Shylaja, Devika
- Abstract
This article discusses the numerical analysis of the distributed optimal control problem governed by the von Kármán equations defined on a polygonal domain in ℝ2. The state and adjoint variables are discretised using the nonconforming Morley finite element method and the control is discretized using piecewise constant functions. A priori and a posteriori error estimates are derived for the state, adjoint and control variables. The a posteriori error estimates are shown to be efficient. Numerical results that confirm the theoretical estimates are presented.
- Subjects
VON Karman equations; FINITE element method; DISTRIBUTED algorithms; A posteriori error analysis; NUMERICAL analysis
- Publication
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2022, Vol 56, Issue 5, p1655
- ISSN
2822-7840
- Publication type
Article
- DOI
10.1051/m2an/2022040