activity
20222024
most citedA second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation

3 citations · 3 across the 3 of their papers we have counts for

collaborators
Showing math.NAShow all

6 papers · 1 filter

math.NA202413 cited

Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities

Jiancheng Wang, Maojun Li, Cheng Wang

In this paper, we present two multiple scalar auxiliary variable (MSAV)-based, finite element numerical schemes for the Abels-Garcke-Gr{ü}n (AGG) model, which is a thermodynamicall…

math.NA2024

Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation

Xiao Li, Zhonghua Qiao, Cheng Wang +1

The global-in-time energy estimate is derived for the second-order accurate exponential time differencing Runge-Kutta (ETDRK2) numerical scheme to the phase field crystal (PFC) equ…

math.NA2024

A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis

Jie Ding, Cheng Wang, Shenggao Zhou

This paper proposes a second-order accurate numerical scheme for the Patlak-Keller-Segel system with various mobilities for the description of chemotaxis. Formulated in a variation…

math.NA2024

On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance

Chun Liu, Cheng Wang, Yiwei Wang

In this paper, we provide a detailed theoretical analysis of the numerical scheme introduced in J. Comput. Phys. 436 (2021) 110253 for the reaction kinetics of a class of chemical…

math.NA2023

Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential

Yunzhuo Guo, Cheng Wang, Steven M. Wise +1

A finite difference numerical scheme is proposed and analyzed for the Cahn-Hilliard-Stokes system with Flory-Huggins energy functional. A convex splitting is applied to the chemica…

math.NA20223 cited

A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation

Chun Liu, Cheng Wang, Steven M. Wise +2

A second order accurate (in time) numerical scheme is proposed and analyzed for the Poisson-Nernst-Planck equation (PNP) system, reformulated as a non-constant mobility gr…