Approximations to Problems of Optimal Control of Leading Coefficients of Elliptic Equations in Nondivergence Form with an Unbounded Nonlinearity in the Coefficients

2021 ◽  
Vol 57 (6) ◽  
pp. 780-804
Author(s):  
F. V. Lubyshev ◽  
A. R. Manapova
Keyword(s):  
Optimal Control ◽  
Elliptic Equations ◽  
Nondivergence Form

Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations

2016 ◽  
Vol 8 (6) ◽  
pp. 1050-1071 ◽  
Author(s):  
Tianliang Hou ◽  
Li Li
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Error Estimates ◽  
Elliptic Equations ◽  
Optimal Control Problems ◽  
Mixed Finite Element ◽  
Control Variable ◽  
The State ◽  
Control Problems ◽  
General Elliptic

AbstractIn this paper, we investigate the error estimates of mixed finite element methods for optimal control problems governed by general elliptic equations. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. We derive L2 and H–1-error estimates both for the control variable and the state variables. Finally, a numerical example is given to demonstrate the theoretical results.

scholarly journals Optimal control of systems governed by some elliptic equations

1999 ◽  
Vol 5 (2) ◽  
pp. 279-290 ◽  
Author(s):  
Urszula Ledzewicz ◽  
◽  
Stanislaw Walczak ◽  
Keyword(s):  
Optimal Control ◽  
Elliptic Equations
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