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.
Keywords: Elliptic distributed optimal control problem, pointwise state and control constraints, fourth order variational inequality, Morley element
@article{COCV_2018__24_3_1181_0, author = {Brenner, Susanne C. and Gudi, Thirupathi and Porwal, Kamana and Sung, Li-yeng}, 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}, number = {3}, year = {2018}, doi = {10.1051/cocv/2017031}, mrnumber = {3877198}, zbl = {1412.49025}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2017031/} }
TY - JOUR AU - Brenner, Susanne C. AU - Gudi, Thirupathi AU - Porwal, Kamana AU - Sung, Li-yeng TI - A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2018 SP - 1181 EP - 1206 VL - 24 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2017031/ DO - 10.1051/cocv/2017031 LA - en ID - COCV_2018__24_3_1181_0 ER -
%0 Journal Article %A Brenner, Susanne C. %A Gudi, Thirupathi %A Porwal, Kamana %A Sung, Li-yeng %T A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints %J ESAIM: Control, Optimisation and Calculus of Variations %D 2018 %P 1181-1206 %V 24 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2017031/ %R 10.1051/cocv/2017031 %G en %F COCV_2018__24_3_1181_0
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, Volume 24 (2018) no. 3, pp. 1181-1206. doi : 10.1051/cocv/2017031. http://archive.numdam.org/articles/10.1051/cocv/2017031/
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