Mathematics Seminar - 10/29/25

Abstract:

Data assimilation is a broad topic that generally refers to incorporating observations into a given dynamical system to better estimate some relevant quantities of interest. One common use of data assimilation is to generate an accurate initial condition for the dynamical system so that its future state can be accurately predicted. In this talk, we focus on a type of data assimilation known as continuous data assimilation (CDA), originally developed by Azouani, Olson, and Titi in 2014, and show how combining continuous data assimilation with the finite element method (FEM) can help overcome bad initial conditions when running numerical simulations. In particular, we show that restrictions on the feedback control parameter inherent to continuous data assimilation can be relaxed when combined with finite element methods. We motivate the use of CDA FEMs with applications to fluid flow equations, such as the Navier-Stokes equations and a barotropic vorticity model for geophysical flows.

Note:

Contact Prof. Shantia Yarahmadian at syarahmadian@math.msstate.edu or (662) 325-7143 for additional information.