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题目：Linear Stabilized Semi-implicit Schemes for the Nonlocal Cahn-Hilliard Equation

报告人：Zhonghua Qiao (The Hong Kong Polytechnic University)

地点：致远楼102室

时间：2017年7月11日 10：00-11：00

摘要：

In this paper, two linear stabilized semi-implicit schemes with first and second

order temporal accuracy respectively, are proposed for solving the nonlocal Cahn-

Hilliard equation. In both schemes we treat the nonlocal diffusion term implicitly

and the nonlinear chemical potential part explicitly, and add an artificial term for

the sake of stability. The energy stabilities and error estimates of the schemes

are rigorously established in the time-discrete sense. Numerical experiments are

carried out for the nonlocal Cahn-Hilliard equipped with the Gaussian kernel. We

numerically verify convergence rates of the proposed schemes and make a comparison

of the phase transition process with the corresponding local case. In addition, long

time simulations of the coarsening dynamics are also performed to predict the 1/3

power law of the energy decay.