81 citations · 82 across the 5 of their papers we have counts for
5 papers
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…
A variable timestepping algorithm for the unsteady Stokes/Darcy model
Yi Qin, Yanren Hou, Wenlong Pei
This report considers a variable step time discretization algorithm proposed by Dahlquist, Liniger and Nevanlinna and applies the algorithm to the unsteady Stokes/Darcy model. Alth…
On the Weak Solutions to Mixed Navier-Stokes-Darcy Model
Yanren Hou, Haibiao Zheng
In this paper, an a priori estimate of weak solutions to the mixed Navier-Stokes/Darcy model with Beavers-Joseph-Saffman's interface condition and the existence of a weak solution…
Optimal Error Estimates of A Decoupled Scheme Based on Two-Grid Finite Element for Mixed Stokes-Darcy Model
Yanren Hou
Although the numerical results suggest the optimal convergence order of the two-grid finite element decoupled scheme for mixed Stokes-Darcy model with Beaver-Joseph-Saffman interfa…
An Expandable Local and Parallel Two-Grid Finite Element Scheme
Yanren Hou, Guangzhi Du
An expandable local and parallel two-grid finite element scheme based on superposition principle for elliptic problems is proposed and analyzed in this paper by taking example of P…