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Optimal location of controllers for the one-dimensional wave equation 

Privat, Y.; Trélat, E.; Zuazua, E. (2013-12-31)
In this paper, we consider the homogeneous one-dimensional wave equation defined on (0,π). For every subset ωâŠ[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in ...
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The vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks 

Ou, Y.; Zhu, P. (2013-12-31)
In this article we study, by the vanishing viscosity method, the sensitivity analysis of an optimal control problem for 1-D scalar conservation laws in the presence of shocks. It is reduced to investigate the vanishing ...
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A penalization and regularization technique in shape optimization problems 

Philip, P.; Tiba, D. (2013-12-31)
We consider shape optimization problems, where the state is governed by elliptic partial differential equations. Using a regularization technique, unknown shapes are encoded via shape functions, turning the shape optimization ...
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Flux identification for 1-d scalar conservation laws in the presence of shocks 

Castro, C.; Zuazua, E. (2011-12-31)
We consider the problem of flux identification for 1-d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. ...

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AuthorZuazua, E. (2)Castro, C. (1)Ou, Y. (1)Philip, P. (1)Privat, Y. (1)Tiba, D. (1)Trélat, E. (1)Zhu, P. (1)Subject
Optimal control (4)
Shape optimization (2)1-d scalar conservation laws (1)Alternating descent method (1)Conservation laws (1)Elliptic partial differential equation (1)Error estimate (1)Exact controllability (1)Fixed domain method (1)Flux identification (1)... másFecha2013 (3)2011 (1)

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