报告题目：Fast Eigensolvers for 3D Maxwell’s Equations for Photonic Crystals
报 告 人：李铁香 教授 （东南大学）
报告时间：2023年6月12日（星期一） 10:00-11:00
报告地点：海山楼B1410
校内联系人：杜磊 副教授
报告摘要：In this talk, we consider studying the eigen-decomposition and developing the fast solver for 3D Maxwell’s equations for photonic crystals. The fast algorithm for Maxwell’s equations (FAME) is proposed for band structure calculations of 3D isotopic/anisotropic photonic crystals(PCs), especially with non-orthogonal Bravais lattices. By directly working with the intrinsic coordinate system with Bravais translation lattices/inverse lattices as basis/inverse basis and covariant/contravariant formulations, the frequency domain Maxwell’s equations are discretized into a genralized eigenvalue problem (GEP). With an alternative understanding of nullspace-deflation techniques, this GEP is transformed into several equivalent nullspace free GEPs (NFGEPs), whose smallest few positive eigenvalues and associated eigenvectors are solved by an iterative eigensolver of the inner-outer type. Comparison with other methods for band structure calculations of 3D anisotropic/isotropic PCs is made to demonstrate the effectiveness and strength of our present approach.
报告人简介：李铁香，东南大学教授，博士生导师，东南大学丘成桐中心主任助理，南京应用数学中心主任助理。主要研究方向为大规模矩阵计算及其应用、电磁场高效计算、三维计算共形几何及应用等。目前已经在 SISC、SIIMS、SIMAX、CPC、JCP、Inverse Problems等国际学术刊物发表学术论文50余篇，主持多项国家自然科学基金项目、以及国防创新特区项目等。2014年评为江苏省“青蓝工程”中青年学术带头人，获得了 2017 年和 2019 年世界华人数学家联盟最佳论文奖—“若琳奖”，2020年第三届江苏省工业与应用数学学会青年奖。
