A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 3, pp. 1181-1206.

We design and analyze a Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints on convex polygonal domains. It is based on the formulation of the optimal control problem as a fourth order variational inequality. Numerical results that illustrate the performance of the method are also presented.

DOI : 10.1051/cocv/2017031
Classification : 49J20, 65K15, 65N30
Mots-clés : Elliptic distributed optimal control problem, pointwise state and control constraints, fourth order variational inequality, Morley element
Brenner, Susanne C. 1 ; Gudi, Thirupathi 1 ; Porwal, Kamana 1 ; Sung, Li-yeng 1

1 
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     title = {A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1181--1206},
     publisher = {EDP-Sciences},
     volume = {24},
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Brenner, Susanne C.; Gudi, Thirupathi; Porwal, Kamana; Sung, Li-yeng. A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 3, pp. 1181-1206. doi : 10.1051/cocv/2017031. http://www.numdam.org/articles/10.1051/cocv/2017031/

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