| Issue |
ESAIM: COCV
Volume 24, Number 3, July–September 2018
|
|
|---|---|---|
| Page(s) | 1181 - 1206 | |
| DOI | https://doi.org/10.1051/cocv/2017031 | |
| Published online | 11 July 2018 | |
A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints★
1
Department of Mathematics and Center for Computation and Technology, Louisiana State University,
Baton Rouge
70803, LA
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2
Indian Institute of Science,
Bangalore
560 01, India.
3
Thirupathi Gudi, Department of Mathematics, Indian Institute of Science,
Bangalore
560 01, India.
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a Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
19
September
2016
Revised:
22
March
2017
Accepted:
17
April
2017
Abstract
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.
Mathematics Subject Classification: 49J20 / 65K15 / 65N30
Key words: Elliptic distributed optimal control problem / pointwise state and control constraints / fourth order variational inequality / Morley element
The work of the first and fourth authors was supported in part by the National Science Foundation under Grant Nos. DMS-13-19172 and Grant No. DMS-16-20273. The second author acknowledges the financial support from the DST Fast Track Project DST01302.
© EDP Sciences, SMAI 2018
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