Special Lecture - 4/19, 12:00PM, Duncan Hall 3076

Jesse Chan

Institute of Computational Engineering and Sciences (ICES)
University of Texas at Austin

"A Higher-order Adaptive DPG Method for Compressible Flow Problems"

The Discontinuous Petrov-Galerkin (DPG) method was introduced in 2009 as a connection between minimum residual methods and optimal test functions. Over the last four years, DPG has been applied to several problems where naive methods have failed - in particular, it has been used to address the problem of robustness in singular perturbation problems. In this talk, we introduce DPG and its properties, present an automatically adaptive DPG method for the model convection-diffusion problem that is robust in the diffusion parameter, and extrapolate the resulting method to the steady state compressible Navier-Stokes equations.