勷勤数学•专家报告

题      目：Numerical methods for preserving geometric properties in micromagnetics

报  告  人：詹嘉俊 讲师  (邀请人：钟柳强)

                                       湘潭大学

时      间： 10月21日  11:00-12:00

地     点：数学科学学院东楼401

报告人简介:

        詹嘉俊，2024年博士毕业于澳门科技大学，现为湘潭大学数学与计算科学学院博士后研究员。詹嘉俊博士的主要研究为有限元方法、间断有限元法、两网格方法的设计和分析、计算微磁学及其数值格式设计; 在Communications in Computational Physics、Journal of Computational Mathematics等计算数学领域高水平学术期刊上发表多篇研究论文。

摘      要：

        In micromagnetics, the governing equation exhibits two fundamental properties: the magnetization preserves constant magnitude in the pointwise sense, and the energy remains consistently dissipative under a constant external magnetic field. A key challenge in designing numerical algorithms lies in preserving these geometric properties. In this work, we analyze a wide range of numerical schemes within an abstract framework with respect to their ability to maintain such geometric structures. Furthermore, two efficient numerical schemes based on the scalar auxiliary variable approach are proposed for the micromagnetic energy minimization problem.

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