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arXiv · 2107.04804

A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations

Sudipto Chowdhury·Asha K. Dond·Neela Nataraj·Devika Shylaja
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Abstract

This article discusses numerical analysis of the distributed optimal control problem governed by the von Kármán equations defined on a polygonal domain in $\mathbb{R}^2$. 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.

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Sudipto Chowdhury, Asha K. Dond, Neela Nataraj, Devika Shylaja. 2021-07-13. A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations. https://arxiv.org/abs/2107.04804

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