Now showing items 1-3 of 3
Optimal location of controllers for the one-dimensional wave equation
(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 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 ...
The vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks
(Nonlinear Analysis: Real World Applications, 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 ...
A penalization and regularization technique in shape optimization problems
(SIAM Journal on Control and Optimization, 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 ...