2 citations · 5 across the 8 of their papers we have counts for
8 papers
A decoupled energy-stable mixed finite element method for Poisson-Nernst-Planck-Navier-Stokes equations
Yanmei Peng, Ying Yang, Yi Zhang
We propose a novel linearized mixed finite element method for the Poisson-Nernst-Planck-Navier-Stokes (PNPNS) system. Specifically, the method combines a staggered time discretizat…
Error Analysis of Virtual Element Method for the Poisson-Boltzmann Equation
Linghan Huang, Shi Shu, Ying Yang
The Poisson-Boltzmann equation is a nonlinear elliptic equation with Dirac distribution sources, which has been widely applied to the prediction of electrostatics potential of biol…
Iterative two-level algorithm for nonsymmetric or indefinite elliptic problems
Ming Tang, Xiaoqing Xing, Ying Yang +1
In this paper, a new iterative two-level algorithm is presented for solving the finite element discretization for nonsymmetric or indefinite elliptic problems. The iterative two-le…
Error Analysis of Virtual Element Methods for the Time-dependent Poisson-Nernst-Planck Equations
Ying Yang, Ya Liu, Shi Shu
We discuss and analyze the virtual element method on general polygonal meshes for the time-dependent Poisson-Nernst-Planck equations, which are a nonlinear coupled system widely us…
Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations
Ying Yang, Ruigang Shen, Mingjuan Fang +1
The a posteriori error estimates are studied for a class of nonlinear stead-state Poisson-Nernst-Planck equations, which are a coupled system consisting of the Nernst-Planck equati…
A Decoupling Two-grid Method for the Time-dependent Poisson-Nernst-Planck Equations
Ruigang Shen, Shi Shu, Ying Yang +1
We study a two-grid strategy for decoupling the time-dependent Poisson-Nernst-Planck equations describing the mass concentration of ions and the electrostatic potential. The comput…
A Two-grid Method for Linearizing and Symmetrizing the Steady-state Poisson-Nernst-Planck Equations
Xuefang Li, Ying Yang, Hang Cheng
In this paper, a two-grid method is proposed to linearize and symmetrize the steady-state Poisson-Nernst-Planck equations. The computational system is decoupled to linearize and sy…
A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations
Ying Yang, Benzhuo Lu, Yan Xie
Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are prop…