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math.OC2024
A Convergent ADMM Algorithm for Grain Boundary Energy Minimization
Yue Wu, Luchan Zhang, Yang Xiang
In this paper, we study a constrained minimization problem that arise from materials science to determine the dislocation (line defect) structure of grain boundaries. The problems…
cond-mat.mtrl-sci2024
A unified variational model for grain boundary dynamics incorporating microscopic structure
Luchan Zhang, Xiaoxue Qin, Yang Xiang
Recent experiments, atomistic simulations, and theoretical predictions have identified various new types of grain boundary motions that are controlled by the dynamics of underlying…