2 citations · 5 across the 10 of their papers we have counts for
11 papers
Hard-Trace First-Order Residual Learning for Coupled Stokes-Brinkman-Darcy Flow
Zefeng Liu, Hongxing Rui
Stokes-Brinkman-Darcy (SBD) models connect free flow and porous flow through a Brinkman layer of finite thickness. The proposed method for solving these coupled equations consists…
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…
Inf-sup stabilized Scott--Vogelius pairs on general simplicial grids by Raviart--Thomas enrichment
Volker John, Xu Li, Christian Merdon +1
This paper considers the discretization of the Stokes equations with Scott--Vogelius pairs of finite element spaces on arbitrary shape-regular simplicial grids. A novel way of stab…
Longer time simulation of the unsteady Navier-Stokes equations based on a modified convective formulation
Xu Li, Hongxing Rui
For the discretization of the convective term in the Navier-Stokes equations (NSEs), the commonly used convective formulation (CONV) does not preserve the energy if the divergence…
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…
Energy Stability and Convergence of SAV Block-centered Finite Difference Method for Gradient Flows
Xiaoli Li, Jie Shen, Hongxing Rui
We present in this paper construction and analysis of a block-centered finite difference method for the spatial discretization of the scalar auxiliary variable Crank-Nicolson schem…
Multigrid Methods for A Mixed Finite Element Method of The Darcy-Forchheimer Model
Jian Huang, Long Chen, Hongxing Rui
An efficient nonlinear multigrid method for a mixed finite element method of the Darcy-Forchheimer model is constructed in this paper. A Peaceman-Rachford type iteration is used as…
Convergence of a decoupled mixed FEM for miscible displacement in interfacial porous media
Buyang Li, Hongxing Rui, Chaoxia Yang
In this paper, we study the stability and convergence of a decoupled and linearized mixed finite element method (FEM) for incompressible miscible displacement in a porous media who…