3 papers
math.NA2026
A superconvergent hybridizable discontinuous Galerkin method for the convective Cahn--Hilliard equation
Gang Chen, Daozhi Han, Jiaxuan Liu +2
We propose a hybridizable discontinuous Galerkin (HDG) method combined with convex-concave splitting for the temporal discretization of the convective Cahn-Hilliard equation. The c…
math.NA2024
An efficient scheme for approximating long-time dynamics of a class of non-linear models
Jack Coleman, Daozhi Han, Xiaoming Wang
We propose a novel, highly efficient, mean-reverting-SAV-BDF2-based, long-time unconditionally stable numerical scheme for a class of finite-dimensional nonlinear models important…
math.NA2024
Long-time stable SAV-BDF2 numerical schemes for the forced Navier-Stokes equations
Daozhi Han, Xiaoming Wang
We propose a novel second-order accurate, long-time unconditionally stable time-marching scheme for the forced Navier-Stokes equations. A new Forced Scalar Auxiliary Variable appro…