Now showing items 1-5 of 5
Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data
In this article, we consider parabolic equations on a bounded open connected subset Rn. We model and investigate the problem of optimal shape and location of the observation domain having a prescribed measure. This problem ...
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces
We develop finite difference numerical schemes for a model arising in multi-body structures, previously analyzed by H. Koch and E. Zuazua, constituted by two n-dimensional wave equations coupled with a (n - 1)- dimensional ...
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
We consider the homogeneous wave equation on a bounded open connected subset Î© of IRn. Some initial data being specified, we consider the problem of determining a measurable subset Ï‰ of Î© maximizing the L2-norm of the ...
Sparse initial data identification for parabolic PDE and its finite element approximations
We address the problem of inverse source identication for parabolic equations from the optimal control viewpoint employing measures of minimal norm as initial data. We adopt the point of view of approximate controllability ...
Numerical aspects of large-time optimal control of Burgers equation
In this paper, we discuss the efficiency of various numerical methods for the inverse design of the Burgers equation, both in the viscous and in the inviscid case, in long time-horizons. Roughly, the problem consists in, ...