6 papers
An efficient coupled block preconditioner for the Marker-and-Cell discretization of the Stokes-Darcy equations
Zhen Chao, Tianwen Li
We consider the iterative solution of the large, sparse and nonsymmetric double saddle-point systems arising from the stationary Stokes-Darcy equations in two dimensions, discretiz…
A Two-Grid Finite Element Method for the Nonlinear Poisson-Boltzmann Equation Based on a Solution Decomposition
Zhen Chao, Jingchun Chen, Cong He
The nonlinear Poisson--Boltzmann equation (PBE) is a widely used implicit-solvent model for the electrostatics of biomolecules in ionic solvent. Its numerical solution is complicat…
A PNP ion channel deep learning solver with local neural network and finite element input data
Hwi Lee, Zhen Chao, Harris Cobb +2
In this paper, a deep learning method for solving an improved one-dimensional Poisson-Nernst-Planck ion channel (PNPic) model, called the PNPic deep learning solver, is presented.…
Integral equation method for the 1D steady-state Poisson-Nernst-Planck equations
Zhen Chao, Weihua Geng, Robert Krasny
An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels. The differential equations are re…
Almost Sure and Moment Exponential Stability of Regime-Switching Jump Diffusions
Zhen Chao, Kai Wang, Chao Zhu +1
This work is devoted to almost sure and moment exponential stability of regime-switching jump diffusions. The Lyapunov function method is used to derive sufficient conditions for s…
On the semi-convergence of regularized HSS iteration methods for singular saddle point problems from the Stokes equations
Zhen Chao, Guoliang Chen
Recently, Bai and Benzi proposed a class of regularized Hermitian and skew-Hermitian splitting methods (RHSS) iteration methods for solving the nonsingular saddle point problem. In…