155 citations · 987 across the 104 of their papers we have counts for
6 papers · 1 filter
Modeling and Simulation for Fluid-Rotating Structure Interaction
Kai Yang, Pengtao Sun, Lu Wang +2
In this paper, we study a dynamic fluid-structure interaction (FSI) model for an elastic structure that is immersed and spinning in the fluid. We develop a linear constitutive mode…
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…
Interior Penalty Mixed Finite Element Methods of Any Order in Any Dimension for Linear Elasticity with Strongly Symmetric Stress Tensor
Shuonan Wu, Shihua Gong, Jinchao Xu
We propose two classes of mixed finite elements for linear elasticity of any order, with interior penalty for nonconforming symmetric stress approximation. One key point of our met…
Energetically stable discretizations for charge carrier transport and electrokinetic models
Chun Liu, Maximilian Metti, Jinchao Xu
A finite element discretization using a method of lines approached is proposed for approximately solving the Poisson-Nernst-Planck (PNP) equations. This discretization scheme enfor…
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…
Structure-preserving Finite Element Methods for Stationary MHD Models
Kaibo Hu, Jinchao Xu
In this paper, we develop a class of mixed finite element scheme for stationary magnetohydrodynamics (MHD) models, using magnetic field and current density as the d…