报告题目：Efficient local energy dissipation preserving algorithms for theCahn–Hilliard equation
报告内容：In this talk, we show that the Cahn–Hilliard equation possesses alocal energy dissipation law, which is independent of boundary conditionsand produces much more information of the original problem. To inherit the intrinsic property, we derive three novel local structure-preserving algorithms for the 2D Cahn–Hilliard equation by the concatenating method. Thanks to the Leibnitz rules and properties of operators, the three schemes are rigorously proven to conserve the discrete local energy dissipation law in any local time–space region. Under periodic boundary conditions, the schemes are proven to possess the discrete mass conservation and total energy dissipation laws. Numerical experiments are conducted to show the performance of the proposed schemes.
报告人简介：穆振国，南京邮电大学天天爱彩票注册，2018年博士毕业于南京师范大学。主要研究兴趣为偏微分方程的保结构算法。近几年在International Journal of Computer Mathematics，Advances in Applied Mathematics and Mechanics Journal of Computational Physics等杂志发表多篇论文。