Geodesic
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

Voir la notice de l'article provenant de la source Numdam

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
Keywords: 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 
@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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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, Tome 24 (2018) no. 3, pp. 1181-1206. doi: 10.1051/cocv/2017031

Cité par Sources :