H(div)-conforming HDG methods for the Brinkman equations
报告人：Guosheng Fu (Brown University)
We present new parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations on both simplicial and rectangular meshes using a velocity gradient-velocity-pressure formulation. We obtain an optimal L2-error estimate for the velocity in both the Stokes-dominated and Darcy-dominated regimes. Moreover, thanks to H(div)-conformity of the velocity, the velocity error estimates are independent of the pressure regularity.
Guosheng Fu, Prager Assistant Professor of Applied Mathematics at Brown University. Dr. Fu got his Ph.D. from University of Minnesota in 2016. His research area includes numerical analysis for partial differential equations, hybridizable discontinuous Galerkin (HDG) and hybrid-mixed finite element methods, convection-dominated problems and computational fluid dynamics.