17 citations · 24 across the 8 of their papers we have counts for
6 papers · 1 filter
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 Estimates for Adaptive QM/MM Coupling Methods
Yangshuai Wang, Huajie Chen, Mingjie Liao +3
Hybrid quantum/molecular mechanics models (QM/MM methods) are widely used in material and molecular simulations when MM models do not provide sufficient accuracy but pure QM models…
Adaptive QM/MM Coupling for Crystalline Defects
Huajie Chen, Mingjie Liao, Hao Wang +2
QM (quantum mechenics) and MM (molecular mechenics) coupling methods are widely used in simulations of crystalline defects. In this paper, we construct a residual based a posterior…
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…
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 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…