# On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 15, Issue: 2, page 426-453
- ISSN: 1292-8119

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topNeitzel, Ira, and Tröltzsch, Fredi. "On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints." ESAIM: Control, Optimisation and Calculus of Variations 15.2 (2008): 426-453. <http://eudml.org/doc/90920>.

@article{Neitzel2008,

abstract = {
In this paper we study Lavrentiev-type regularization concepts for
linear-quadratic parabolic control problems with pointwise state constraints. In
the first part, we apply classical Lavrentiev regularization to a problem with
distributed control, whereas in the second part, a Lavrentiev-type
regularization method based on the adjoint operator is applied to boundary
control problems with state constraints in the whole domain. The analysis for
both classes of control problems is investigated and numerical tests are
conducted. Moreover the method is compared with other numerical techniques.
},

author = {Neitzel, Ira, Tröltzsch, Fredi},

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

keywords = {Optimal control; parabolic equation;
pointwise state constraints; boundary control; Lavrentiev-type
regularization; optimal control; parabolic differential equations; pointwise state constraints; Lavrentiev-type regularization},

language = {eng},

month = {6},

number = {2},

pages = {426-453},

publisher = {EDP Sciences},

title = {On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints},

url = {http://eudml.org/doc/90920},

volume = {15},

year = {2008},

}

TY - JOUR

AU - Neitzel, Ira

AU - Tröltzsch, Fredi

TI - On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/6//

PB - EDP Sciences

VL - 15

IS - 2

SP - 426

EP - 453

AB -
In this paper we study Lavrentiev-type regularization concepts for
linear-quadratic parabolic control problems with pointwise state constraints. In
the first part, we apply classical Lavrentiev regularization to a problem with
distributed control, whereas in the second part, a Lavrentiev-type
regularization method based on the adjoint operator is applied to boundary
control problems with state constraints in the whole domain. The analysis for
both classes of control problems is investigated and numerical tests are
conducted. Moreover the method is compared with other numerical techniques.

LA - eng

KW - Optimal control; parabolic equation;
pointwise state constraints; boundary control; Lavrentiev-type
regularization; optimal control; parabolic differential equations; pointwise state constraints; Lavrentiev-type regularization

UR - http://eudml.org/doc/90920

ER -

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