3 papers
math.NA2021
An EMA-conserving, pressure-robust and Re-semi-robust reconstruction method for the unsteady incompressible Navier-Stokes equations
Xu Li, Hongxing Rui
Proper EMA-balance (E: kinetic energy; M: momentum; A: angular momentum), pressure-robustness and -semi-robustness (: Reynolds number) are three important properties of Nav…
math.NA2020
A low order divergence-free H(div)-conforming finite element method for Stokes flows
Xu Li, Hongxing Rui
In this paper, we propose a discretization of the Stokes equations on general simplicial meshes in two/three dimensions (2D/3D), which yields an exact…
math.NA2019
A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity
Chunyan Niu, Hongxing Rui, Xiaozhe Hu
In this work, we consider a hybrid mixed finite element method for Biot's model. The hybrid P1-RT0-P0 discretization of the displacement-pressure-Darcy's velocity system of Biot's…