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A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations (2107.04804v2)
Published 10 Jul 2021 in math.NA, cs.NA, and math.OC
Abstract: This article discusses numerical analysis of the distributed optimal control problem governed by the von K\'{a}rm\'{a}n 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.