The goal of this paper is to study the so-called worst-case or robust optimal design problem for minimal compliance. In the context of linear elasticity we seek an optimal shape which minimizes the largest, or worst, compliance when the loads are subject to some unknown perturbations. We first prove that, for a fixed shape, there exists indeed a worst perturbation (possibly non unique) that we characterize as the maximizer of a nonlinear energy. We also propose a stable algorithm to compute it....
The goal of this paper is to study the so-called worst-case or robust
optimal design problem for minimal compliance. In the context of linear
elasticity we seek an optimal shape which minimizes the largest, or worst,
compliance when the loads are subject to some unknown perturbations.
We first prove that, for a fixed shape, there exists indeed a worst
perturbation (possibly non unique) that we characterize as the maximizer
of a nonlinear energy. We also propose a stable algorithm to
compute...
Electroporation consists in increasing the permeability of a tissue by applying high
voltage pulses. In this paper we discuss the question of optimal placement and optimal
loading of electrodes such that electroporation holds only in a given open set of the
domain. The electroporated set of the domain is where the norm of the electric field is
above a given threshold value. We use a standard gradient algorithm to optimize the
loading of the electrodes...
Download Results (CSV)