报告时间：2022/10/18 13:30-15:00
重复周期：2022/09/13-2022/12/27 10:00-16:00, 每周 (周二)
报告人：安荣 教授
腾讯会议：932-7827-6364
点击链接入会，或添加至会议列表：
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报告人简介：安荣，温州大学数理学院教授。研究领域包括不可压缩流体力学方程的数值方法、非线性抛物方程的数值方法，变分不等式问题的数值方法等。主持完成国家自然科学基金和浙江省自然科学基金各2项，在SIAM J. Numer. Anal.、Numer. Math.、IMA J. Numer. Anal.、J. Sci. Comput.、Adv. Comput. Math.等期刊发表论文50余篇。
报告摘要：The Landau-Lifshitz equation has been widely used to describe the dynamics of magnetization in a ferromagnetic material, which is highly nonlinear with the nonconvex constraint. In designing numerical algorithm, a crucial issue is how to preserve the nonconvex constraint in the fully discrete level. A simple and frequently-used one is the sphere-projection method which projects the numerical solution onto a unit sphere at each time step. Due to the simplicity of the sphere-projection approach, the method has been extensively used in various applications. However, no rigorous error estimate is available up to now. In this talk, I will present an overview of numerical methods for the Landau-Lifshitz equation and report recent development on numerical analysis of the sphere-projection method.
邀请人：杜锐