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数学学院、所2019年系列学术活动(第145场):孔令华 教授 江西师范大学

发表于: 2019-08-22 08:27  点击:

报告题目:Splitting Energy-preserving Schemes for Three-dimensional Maxwell Equations

报 告 人:孔令华 教授 江西师范大学

报告时间:2019822 10:30 - 11:30

报告地点:数学楼202

报告摘要:

We propose four energy-conserved splitting methods for Maxwell's equations in three dimensions. To avoid solving large scale algebraic equations, we use local one- dimensional (LOD) technique and split the original equations into six LOD subsystems. Then, it results in some efficient numerical scheme by discretizing the LOD equations with Crank-Nicolson scheme in time and high order compact (HOC) method in space. Some benchmark symbols, such as stability, conservation laws of the schemes are analyzed. Some numerical examples confirm the theoretical analysis. Numerical results show that the new schemes not only can simulate the electromagnetic waves, including profiles, amplitude well, but also energy structure-preserving.

报告人简介:

孔令华,教授,江西省百千万人才,江西省青年科学家培养对象,江西省高校学科带头人。主要研究偏微分方程的保结构算法,特别是在哈密尔顿系统高效辛和多辛格式的构造方面取得了一些研究成果,并获江西省自然科学三等奖。主持国家自然科学基金3项,江西省自然科学基金7项。发表SCI收录论文三十余篇。