3 papers
math.NA2025
Formulation and Analysis of Blended Atomistic to Higher-Order Continuum Coupling Methods for Crystalline Defects
Junfeng Lu, Hao Wang, Yangshuai Wang
Concurrent multiscale methods play an important role in modeling and simulating materials with defects, aiming to achieve the balance between accuracy and efficiency. Atomistic-to-…
math.NA2025
Adaptive Quasicontinuum Methods and Simulations for Crystal Defects with a Theory based Unified a Posteriori Error Estimate
Hao Wang, Yangshuai Wang
Adaptive quasicontinuum (QC) methods are important methodologies in molecular mechanics for the simulations of materials with defects, intending to achieve the optimal balance of a…
math.NA2025
A General Framework of Linear Elasticity Enhanced Multiscale Coupling Methods for Crystalline Defects
Yanbo Zhan, Yangshuai Wang, Hao Wang
The atomistic-to-continuum (a/c) coupling methods, also known as the quasicontinuum (QC) methods, are a important class of concurrent multisacle methods for modeling and simulating…