The Role of the Stability Parameter in a Stabilized Finite Element Method
by
Denise A. Krueger
College of Mount St. Joseph
Coauthors: Belinda Batten John Burns

Numerical schemes in the context of linear quadratic regulator (LQR) control problems for the convection diffusion equation can be unstable. We develop a stabilization scheme based on the Galerkin Least Squares (GLS) method and compare this scheme to the standard Galerkin finite element method. A careful numerical investigation into the convergence and accuracy of the functional gains computed using stabilization is conducted. We then perform numerical studies of the role that the stabilization parameter plays in this convergence.

Date received: September 24, 2007