6533b857fe1ef96bd12b4366
RESEARCH PRODUCT
Optimal shape design and unilateral boundary value problems: Part II
Pekka NeittaanmäkiJaroslav HaslingerArto KaarnaTimo Tiihonensubject
Dirichlet problemMathematical optimizationControl and OptimizationPartial differential equationDifferential equationApplied MathematicsExistence theoremOptimal controlFinite element methodControl and Systems EngineeringVariational inequalityApplied mathematicsBoundary value problemSoftwareMathematicsdescription
In the first part we give a general existence theorem and a regularization method for an optimal control problem where the control is a domain in R″ and where the system is governed by a state relation which includes differential equations as well as inequalities. In the second part applications for optimal shape design problems governed by the Dirichlet-Signorini boundary value problem are presented. Several numerical examples are included.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-10-29 | Optimal Control Applications and Methods |