Geodesic
Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 3, pp. 1137-1172

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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.

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DOI : 10.1051/m2an/2018023
Classification : 65N30, 65N15, 49M05, 49M25
Keywords: von Kármán equations, distributed control, plate bending, semilinear, conforming finite element methods, error estimates.

Mallik, Gouranga 1 ; Nataraj, Neela 1 ; Raymond, Jean-Pierre 1

1 
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     title = {Error estimates for the numerical approximation of a distributed optimal control problem governed by the von {K\'arm\'an} equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1137--1172},
     publisher = {EDP-Sciences},
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Mallik, Gouranga; Nataraj, Neela; Raymond, Jean-Pierre. Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 3, pp. 1137-1172. doi: 10.1051/m2an/2018023

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