Publications (44)
Hydroxide Transport and Mechanical Properties of Polyolefin-Based Anion Exchange Membranes from Atomistic Molecular Dynamics Simulations
Mohammed Al Otmi, Ping Lin, William Schertzer +3
Anion exchange membranes are used in alkaline fuel cells and offer a promising alternative to the more expensive proton exchange membrane fuel cells. However, hydroxide ion conduct…
A Phase-Field Model for Vesicle Membranes Incorporating Area-Difference Elasticity
Yihong Liang, Emine Celiker, Ping Lin
This paper presents a phase-field model for simulating the three-dimensional deformation of vesicle membranes, incorporating area-difference elasticity, with constraints on bulk vo…
An Unconditionally Stable Explicit Robin-Robin Partitioned Scheme for Fluid-Structure Interaction
Shihan Guo, Ping Lin, Yifan Wang +2
We propose an explicit partitioned (loosely coupled) scheme for fluid structure interaction (FSI) problems, specifically designed to achieve high computational efficiency in modern…
Energy-based ghost force removing techniques for the quasicontinuum method
Ping Lin, Alexander V. Shapeev
This paper studies numerical methods for accurate treatment of the interface between the local and the nonlocal region in a QC approximation of atomistic materials. Only the energy…
A multiscale mathematical model of tumour invasive growth
Lu Peng, Dumitru Trucu, Ping Lin +2
Known as one of the hallmarks of cancer [30], cancer cell invasion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour t…
Numerical Methods for Multilattices
Assyr Abdulle, Ping Lin, Alexander V. Shapeev
Among the efficient numerical methods based on atomistic models, the quasicontinuum (QC) method has attracted growing interest in recent years. The QC method was first developed fo…
Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities
Hongxia Guo, Changfeng Gui, Ping Lin +1
The existence and multiplicity of similarity solutions for the steady, incompressible and fully developed laminar flows in a uniformly porous channel with two permeable walls are i…
Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle
Ping Lin, Jiongmin Yong
This paper is concerned with a class of controlled singular Volterra integral equations, which could be used to describe problems involving memories. The well-known fractional orde…
Bridging What the Model Thinks and How It Speaks: Expressive Speech Generation via Self-Aware Intent-Realization Alignment
Kuang Wang, Lai Wei, Ping Lin +8
Speech Language Models (SLMs) exhibit strong semantic understanding, yet often fail to translate this capacity into expressive acoustic realization, producing speech with flattened…
Revisiting AGN Placement on the BPT Diagram: A Spectral Decomposition Approach
Hossen Teimoorinia, Sara Shishehchi, Finn Archinuk +5
Traditional single-fibre spectroscopy provides a single galaxy spectrum, forming the basis for crucial parameter estimation. However, its accuracy can be compromised by various sou…
Unconditional stability and convergence analysis of novel regularization schemes for the Navier-Stokes equations
Zhaoyang Wang, Ping Lin
In this paper, we construct novel first- and second-order decoupled schemes for the Navier-Stokes equations based on the penalty method and the sequential regularization method (SR…
Error analysis of an effective numerical scheme for a temporal multiscale plaque growth problem
Zhaoyang Wang, Ping Lin
In this work, we propose a simple numerical scheme based on a fast front-tracking approach for solving a fluid-structure interaction (FSI) problem of plaque growth in blood vessels…
A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions
Mingjie Liao, Ping Lin, Lei Zhang
In this paper, we develop the residual based a posteriori error estimates and the corresponding adaptive mesh refinement algorithm for atomistic/continuum (a/c) coupling with finit…
Homogenization principle and numerical analysis for fractional stochastic differential equations with different scales
Zhaoyang Wang, Ping Lin
This work is concerned with fractional stochastic differential equations with different scales. We establish the existence and uniqueness of solutions for Caputo fractional stochas…
A temporal multiscale method and its analysis for a system of fractional differential equations
Zhaoyang Wang, Ping Lin
In this paper, a nonlinear system of fractional ordinary differential equations with multiple scales in time is investigated. We are interested in the effective long-term computati…
Generative Adversarial Network with Multi-Branch Discriminator for Cross-Species Image-to-Image Translation
Ziqiang Zheng, Zhibin Yu, Haiyong Zheng +3
Current approaches have made great progress on image-to-image translation tasks benefiting from the success of image synthesis methods especially generative adversarial networks (G…
Size Scaling of Velocity Field in Granular Flows through Apertures
Gaoke Hu, Ping Lin, Yongwen Zhang +3
For vertical velocity field of granular flow through an aperture of radius , we propose a size scaling form $v_{\rm z}(r,z;R)=v_{\rm z} (0,0;R)f (r/R_{\rm r}…
Causal State Feedback Representation for Linear Quadratic Optimal Control Problems of Singular Volterra Integral Equations
Shuo Han, Ping Lin, Jiongmin Yong
This paper is concerned with a linear quadratic optimal control for a class of singular Volterra integral equations. Under proper convexity conditions, optimal control uniquely exi…
Unconditionally stable Gauge-Uzawa finite element schemes for the chemo-repulsion-Navier-Stokes system
Chenyang Li, Ping Lin, Haibiao Zheng
This paper investigates a Gauge-Uzawa finite element method (GU-FEM) for the two-dimensional chemo-repulsion-Navier-Stokes (CRNS) system. The proposed approach establishes a fully…
A priori and a posteriori error analysis of a QC method for complex lattices
Assyr Abdulle, Ping Lin, Alexander V. Shapeev
In this paper we prove a priori and a posteriori error estimates for a multiscale numerical method for computing equilibria of multilattices under an external force. The error esti…
Mass Conservative and Energy Stable Finite Difference Methods for the Quasi-incompressible Navier-Stokes-Cahn-Hilliard system: Primitive Variable and Projection-Type Schemes
Zhenlin Guo, Ping Lin, Steven Wise +1
In this paper we describe two fully mass conservative, energy stable, finite difference methods on a staggered grid for the quasi-incompressible Navier-Stokes-Cahn-Hilliard (q-NSCH…
An astronomical image content-based recommendation system using combined deep learning models in a fully unsupervised mode
Hossen Teimoorinia, Sara Shishehchi, Ahnaf Tazwar +4
We have developed a method that maps large astronomical images onto a two-dimensional map and clusters them. A combination of various state-of-the-art machine learning (ML) algorit…
Error analysis of a fully discrete structure-preserving finite element scheme for a diffuse-interface model of tumour growth
Agus L. Soenjaya, Ping Lin, Thanh Tran
We develop a linear fully discrete structure-preserving finite element method for a diffuse-interface model of tumour growth. The system couples a Cahn--Hilliard type equation with…
A consistency study of coarse-grained dynamical chains through a nonlinear wave equation of mixed type
Mingjie Liao, Ping Lin
A dynamical atomistic chain to simulate mechanical properties of a one-dimensional material with zero temperature may be modelled by the molecular dynamics (MD) model. Because the…
A Regularized Auxiliary Variable (RAV) Approach for Gradient Flows
Zhaoyang Wang, Ping Lin
In this paper, we propose a regularized auxiliary variable (RAV) approach and construct accurate and robust time-discrete schemes for a large class of gradient flows. By introducin…
A thermodynamically consistent phase-field model for mass transport with interfacial reaction and deformation
Zhaoyang Wang, Huaxiong Huang, Ping Lin +1
In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of t…
A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law
Zhenlin Guo, Ping Lin, John S. Lowengrub
In this paper, we investigate numerically a diffuse interface model for the Navier-Stokes equation with fluid-fluid interface when the fluids have different densities \cite{Lowengr…
A Scalable Benchmark for Repository-Oriented Long-Horizon Conversational Context Management
Yang Liu, Li Zhang, Fang Liu +2
In recent years, large language models (LLMs) have advanced rapidly, substantially enhancing their code understanding and generation capabilities and giving rise to powerful code a…
Automatic Recognition of Landmarks on Digital Dental Models
Brénainn Woodsend, Eirini Koufoudaki, Peter A. Mossey +1
Fundamental to improving Dental and Orthodontic treatments is the ability to quantitatively assess and cross-compare their outcomes. Such assessments require calculating distances…
Homogenization-based Analysis of Quasicontinuum Method for Complex Crystals
Assyr Abdulle, Ping Lin, Alexander V. Shapeev
Among the efficient numerical methods based on atomistic models, the quasicontinuum (QC) method, introduced by Tadmor, Ortiz, and Phillips (1996), has attracted growing interest in…
An Energy Stable C0 Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation
Lingyue Shen, Zhiliang Xu, Ping Lin +2
A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip bound…
An energy stable finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
Lingyue Shen, Huaxiong Huang, Ping Lin +2
In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General N…
Thermodynamically Consistent Diffuse Interface Model for Cell Adhesion and Aggregation
Lingyue Shen, Ping Lin, Zhiliang Xu +1
A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type…
Pricing Two-asset Options under Exponential Lévy Model Using a Finite Element Method
Xun Li, Ping Lin, Xue-Cheng Tai +1
This article presents a finite element method (FEM) for a partial integro-differential equation (PIDE) to price two-asset options with underlying price processes modeled by an expo…
Feedback approximate controllability of blowup points for the heat equation with anti-interference blowup profile
Ping Lin, Hatem Zaag
This paper is concerned with a feedback approximate controllability problem of blowup points for the heat equation. We show that the system is approximately controllable for blowup…
A Thermodynamically Consistent Cahn-Hilliard-Navier-Stokes Model for Tumor Growth
Chenyang Li, Ping Lin, Hui Yu +1
This work develops a thermodynamically consistent phase-field model for tumor growth based on the energetic variational framework. The model couples the Cahn-Hilliard equations for…
A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects
Zhenlin Guo, Ping Lin
In this paper, we develop a phase-field model for binary incompressible (quasi-incompressible) fluid with thermocapillary effects, which allows for the different properties (densit…
A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional-order boundary growth
Zhaoyang Wang, Ping Lin, Lei Zhang
This paper is concerned with a blood flow problem coupled with a slow plaque growth at the artery wall. In the model, the micro (fast) system is the Navier-Stokes equation with a p…
Quenching Time Optimal Control for Some Ordinary Differential Equations
Ping Lin
This paper concerns some time optimal control problems of three different ordinary differential equations in . Corresponding to certain initial data and controls, the…
A Posteriori Error Estimation and Adaptive Algorithm for the Atomistic/Continuum Coupling in 2D
Hao Wang, Mingjie Liao, Ping Lin +1
Atomistic/continuum coupling methods aim to achieve optimal balance between accuracy and efficiency. Adaptivity is the key for the efficient implementation of such methods. In this…
Fully discrete finite element approximation for the projection method to solve the Chemotaxis-Fluid System
Chenyang Li, Ping Lin, Haibiao Zheng
In this paper, we investigate a chemotaxis-fluid interaction model governed by the incompressible Navier-Stokes equations coupled with the classical Keller-Segel chemotaxis system.…
Linear Relaxation Schemes with Asymptotically Compatible Energy Law for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
In this paper, we propose a variable time-step linear relaxation scheme for time-fractional phase-field equations with a free energy density in general polynomial form. The $L1^{+}…
Second-Order Linear Relaxation Schemes for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
This work uses a linear relaxation method to develop efficient numerical schemes for the time-fractional Allen-Cahn and Cahn-Hilliard equations. The L1+-CN formula is used to discr…
Feedback controllability for blowup points of heat equation
Ping Lin, Hatem Zaag
This paper concerns a controllability problem for blowup points on heat equation. It can be described as follows: In the absence of control, the solution to the linear heat system…