128 citations · 513 across the 59 of their papers we have counts for
4 papers · 2 filters
Fast multilevel solvers for a class of discrete fourth order parabolic problems
Bin Zheng, Luoping Chen, Xiaozhe Hu +3
In this paper, we study fast iterative solvers for the solution of fourth order parabolic equations discretized by mixed finite element methods. We propose to use consistent mass m…
Stability and Monotonicity for Some Discretizations of the Biot's Model
Carmen Rodrigo, Francisco Gaspar, Xiaozhe Hu +1
We consider finite element discretizations of the Biot's consolidation model in poroelasticity with MINI and stabilized P1-P1 elements. We analyze the convergence of the fully disc…
A Finite Element Framework for Some Mimetic Finite Difference Discretizations
Carmen Rodrigo, Francisco Gaspar, Xiaozhe Hu +1
In this work we derive equivalence relations between mimetic finite difference schemes on simplicial grids and modified Nédélec-Raviart-Thomas finite element methods for model prob…
Robust Preconditioners for Incompressible MHD Models
Yicong Ma, Kaibo Hu, Xiaozhe Hu +1
In this paper, we develop two classes of robust preconditioners for the structure-preserving discretization of the incompressible magnetohydrodynamics (MHD) system. By studying the…