Research in the MDO Lab embraces both the theory and applications perspectives. On the theory side, we develop numerical methods that are applicable to a wide range of problems. Much of our work has focused on the accurate and efficient computation of derivatives
to aid gradient-based optimization methods, but derivatives have many other applications. The complex-step method for computing derivatives
, for example, has been applied to a wide range of disciplines, including geophysics
. We have written a survey of MDO architectures
, and we are constantly looking for opportunities to improve these architectures. We are currently collaborating with NASA in the development of OpenMDAO
, a framework to facilitate the application of MDO to real world engineering design problems.