From Godunov to a Unified HDG Framework HDG Methods for Shallow Water Equations From Rankine-Hugoniot to a Unified HDG Framework Phrase DPG as a unified finite element computing framework
Guermond's work: Entropy viscosity Flux corrected transport Phase-field modeling HDG IMEX Automatic differentiation L1 DPG + NURBS = less internal oscillations?
Stability Low diffusion High order Adaptivity Local computation Multiphysics
Brinkman equation with DPG Stokes with epsilon=1, Darcy with epsilon=0 (classical methods are stable for one or the other)
Euler Vortex problem