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19932021
most citedNumerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment

64 citations · 212 across the 21 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.NA2021★ 17 cited

HEI: hybrid explicit-implicit learning for multiscale problems

Yalchin Efendiev, Wing Tat Leung, Guang Lin +1

Splitting is a method to handle application problems by splitting physics, scales, domain, and so on. Many splitting algorithms have been designed for efficient temporal discretiza…

math.NA2021★ 6 cited

Multi-variance replica exchange stochastic gradient MCMC for inverse and forward Bayesian physics-informed neural network

Guang Lin, Yating Wang, Zecheng Zhang

Physics-informed neural network (PINN) has been successfully applied in solving a variety of nonlinear non-convex forward and inverse problems. However, the training is challenging…

math.NA2021

Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems

Hugo Esquivel, Arun Prakash, Guang Lin

For decades, uncertainty quantification techniques based on the spectral approach have been demonstrated to be computationally more efficient than the Monte Carlo method for a wide…

physics.flu-dyn2021★ 13 cited

Implementing contact angle boundary conditions for second-order Phase-Field models of wall-bounded multiphase flows

Ziyang Huang, Guang Lin, Arezoo M. Ardekani

In the present work, a general formulation is proposed to implement the contact angle boundary conditions for the second-order Phase-Field models, which is applicable to -phase…

physics.comp-ph2021★ 2 cited

A consistent and conservative Phase-Field model for thermo-gas-liquid-solid flows including liquid-solid phase change

Ziyang Huang, Guang Lin, Arezoo M. Ardekani

In the present study, a consistent and conservative Phase-Field model is developed to study thermo-gas-liquid-solid flows with liquid-solid phase change. The proposed model is deri…

physics.comp-ph2021★ 29 cited

A consistent and conservative model and its scheme for -phase--component incompressible flows

Ziyang Huang, Guang Lin, Arezoo M. Ardekani

In the present work, we propose a consistent and conservative model for multiphase and multicomponent incompressible flows, where there can be arbitrary numbers of phases and compo…