Optimal pumping in a single chamber microbial fuel cell

Abstract

In this work we study the numerical behavior of a diffusion equation with a discrete source term and control variables. Our goal is to use optimization techniques in order to obtain a numerical solution that minimizes a given objective function taking into account some restrictions. Some numerical results are presented concerning the application into a model that describes the oxygen concentration in a single chamber microbial fuel cell. These numerical results are used to obtain a continuous approximation with the least-squares method.