Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations

@inproceedings{Krueger2004StabilizedFE,
title={Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations},
author={Denise A. Krueger},
year={2004}
}

We study the behavior of numerical stabilization schemes in the context of linear quadratic regulator (LQR) control problems for convection diffusion equations. The motivation for this effort comes from the observation that when linearization is applied to fluid flow control problems the resulting equations have the form of a convection diffusion equation. This effort is focused on the specific problem of computing the feedback functional gains that are the kernels of the feedback operators… CONTINUE READING