# Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 8, page 345-374
- ISSN: 1292-8119

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topCasas, Eduardo. "Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 345-374. <http://eudml.org/doc/90652>.

@article{Casas2010,

abstract = {
The goal of this paper is to derive some error estimates for the
numerical discretization of some optimal control problems governed
by semilinear elliptic equations with bound constraints on the
control and a finitely number of equality and inequality state
constraints. We prove some error estimates for the optimal
controls in the L∞ norm and we also obtain error estimates
for the Lagrange multipliers associated to the state constraints
as well as for the optimal states and optimal adjoint states.
},

author = {Casas, Eduardo},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Distributed control; state constraints; semilinear elliptic equation;
numerical approximation; finite element method; error estimates.; distributed control; numerical approximation; error estimates},

language = {eng},

month = {3},

pages = {345-374},

publisher = {EDP Sciences},

title = {Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints},

url = {http://eudml.org/doc/90652},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Casas, Eduardo

TI - Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 8

SP - 345

EP - 374

AB -
The goal of this paper is to derive some error estimates for the
numerical discretization of some optimal control problems governed
by semilinear elliptic equations with bound constraints on the
control and a finitely number of equality and inequality state
constraints. We prove some error estimates for the optimal
controls in the L∞ norm and we also obtain error estimates
for the Lagrange multipliers associated to the state constraints
as well as for the optimal states and optimal adjoint states.

LA - eng

KW - Distributed control; state constraints; semilinear elliptic equation;
numerical approximation; finite element method; error estimates.; distributed control; numerical approximation; error estimates

UR - http://eudml.org/doc/90652

ER -

## References

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