activity
20132026
most citedTwo-Grid Domain Decomposition Methods for the Coupled Stokes-Darcy System

31 citations · 32 across the 7 of their papers we have counts for

collaborators

8 papers

math.AP2026

Global Regularity for the Chemotaxis-Stokes System with Signal Consumption in

Fengqiang Shi, Wendong Wang, Guoxu Yang

In 2005, Tuval et al. introduced a continuum model for the interaction of aerobic bacteria, oxygen, and an incompressible fluid. For the associated three-dimensional chemotaxis-con…

math.AP2026

Zero-viscosity limit of the chemotaxis-Navier-Stokes equations with the Navier-slip boundary condition

Bolun Li, Fengqiang Shi, Wendong Wang

The interplay of chemotaxis and diffusion of nutrients or signaling chemicals in bacterial suspensions can produce a variety of structures with locally high concentrations of cells…

math.AP2026

Existence and partial regularity of suitable weak solutions to the 3D Navier-Stokes-Vlasov-Fokker-Planck equations

Renjun Duan, Fengqiang Shi, Wendong Wang +1

In this paper, we investigate the incompressible Navier-Stokes equations coupled with the Vlasov-Fokker-Planck equation, which describes a two-phase mixture of the viscous incompre…

math.NA2022★ 1 cited

Parallel Domain Decomposition method for the fully-mixed Stokes-dual-permeability fluid flow model with Beavers-Joseph interface conditions

Zheng Li, Feng Shi, Yizhong Sun +1

In this paper, a parallel domain decomposition method is proposed for solving the fully-mixed Stokes-dual-permeability fluid flow model with Beavers-Joseph (BJ) interface condition…

math.NA2022

Ensemble Domain Decomposition Algorithm for the Fully-mixed Random Stokes-Darcy Model with the Beavers-Joseph Interface Conditions

Feng Shi, Yizhong Sun, Haibiao Zheng

In this paper, an efficient ensemble domain decomposition algorithm is proposed for fast solving the fully-mixed random Stokes-Darcy model with the physically realistic Beavers-Jos…

math.NA2021★ 31 cited

Two-Grid Domain Decomposition Methods for the Coupled Stokes-Darcy System

Yizhong Sun, Feng Shi, Haibiao Zheng +2

In this paper, we propose two novel Robin-type domain decomposition methods based on the two-grid techniques for the coupled Stokes-Darcy system. Our schemes firstly adopt the exis…

math.NA2020

Expandable Local and Parallel Two-Grid Finite Element Scheme for the Stokes Equations

Yanren Hou, Feng Shi, Haibiao Zheng

In this paper, we present a novel local and parallel two-grid finite element scheme for solving the Stokes equations, and rigorously establish its a priori error estimates. The sch…

math-ph2013

A New Splitting Method for Time-dependent Convection-dominated Diffusion Problems

Feng Shi, Guoping Liang, Yubo Zhao +1

We present a new splitting method for time-dependent convection-dominated diffusion problems. The original convection diffusion system is split into two sub-systems: a pure convect…