5 papers · 1 filter
Analysis of a finite element method for linear elasticity with Dirichlet and mixed boundary conditions
Hongpeng Li, Xu Li, Hongxing Rui
In this paper, we investigate a low-order robust numerical method for the linear elasticity problem. The method is based on a Bernardi--Raugel-like -c…
On efficient linear and fully decoupled finite difference method for wormhole propagation with heat transmission process on staggered grids
Xiaoli Li, Ziyan Li, Hongxing Rui
In this paper, we construct an efficient linear and fully decoupled finite difference scheme for wormhole propagation with heat transmission process on staggered grids, which only…
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…
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…
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…