2 papers
math.NA2017
A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations
Xunxun Wu, Kristoffer van der Zee, Gorkem Simsek +1
While many methods exist to discretize nonlinear time-dependent partial differential equations (PDEs), the rigorous estimation and adaptive control of their discretization errors r…
physics.flu-dyn2016
Diffuse-Interface Two-Phase Flow Models with Different Densities: A New Quasi-Incompressible Form and a Linear Energy-Stable Method
Mahnaz Shokrpour Roudbari, Gorkem Simsek, E. Harald van Brummelen +1
While various phase-field models have recently appeared for two-phase fluids with different densities, only some are known to be thermodynamically consistent, and practical stable…