# A priori error estimates for a state-constrained elliptic optimal control problem

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

- Volume: 46, Issue: 5, page 1107-1120
- ISSN: 0764-583X

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topRösch, Arnd, and Steinig, Simeon. "A priori error estimates for a state-constrained elliptic optimal control problem." ESAIM: Mathematical Modelling and Numerical Analysis 46.5 (2012): 1107-1120. <http://eudml.org/doc/277841>.

@article{Rösch2012,

abstract = {We examine an elliptic optimal control problem with control and state constraints in
ℝ3. An improved error estimate of
𝒪(hs)
with 3/4 ≤ s ≤ 1 − ε is proven for a discretisation
involving piecewise constant functions for the control and piecewise linear for the state.
The derived order of convergence is illustrated by a numerical example.},

author = {Rösch, Arnd, Steinig, Simeon},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Elliptic optimal control problem; state constraint; a priori error estimates; elliptic control problem; state constrained; a priori error estimates; convergence rate; finite elements},

language = {eng},

month = {2},

number = {5},

pages = {1107-1120},

publisher = {EDP Sciences},

title = {A priori error estimates for a state-constrained elliptic optimal control problem},

url = {http://eudml.org/doc/277841},

volume = {46},

year = {2012},

}

TY - JOUR

AU - Rösch, Arnd

AU - Steinig, Simeon

TI - A priori error estimates for a state-constrained elliptic optimal control problem

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2012/2//

PB - EDP Sciences

VL - 46

IS - 5

SP - 1107

EP - 1120

AB - We examine an elliptic optimal control problem with control and state constraints in
ℝ3. An improved error estimate of
𝒪(hs)
with 3/4 ≤ s ≤ 1 − ε is proven for a discretisation
involving piecewise constant functions for the control and piecewise linear for the state.
The derived order of convergence is illustrated by a numerical example.

LA - eng

KW - Elliptic optimal control problem; state constraint; a priori error estimates; elliptic control problem; state constrained; a priori error estimates; convergence rate; finite elements

UR - http://eudml.org/doc/277841

ER -

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