Lecturer: Liang Dong

Abstract:

Efficient numerical computations of Maxwell’s equations are extremely crucial in electromagnetics and applications. When the domains of interest contain local solution behavior and geometrical feature or only occupy small parts of computational domains in practical problems, the computation of Maxwell’s equations is required to improve the resolution capacity and efficiency of solution, and thus it is interesting to utilize local mesh refinements over grids. However, in the presence of local mesh refinements, the sudden change of the mesh sizes inevitably produces spurious reflections in the electromagnetic waves, where the difficult task is to provide the required and suitable interface schemes/conditions to the local refinements of FDTD methods near the interfaces. In this talk, I will present our recent developments of energy-preserving S-FDTD schemes for metamaterial electromagnetics with Lorentz model and local mesh-refined FDTD schemes for Maxwell’s equations. Theoretical analysis, fast implementation and numerical experiments will be reported.

Introduction to the Lecturer:

Professor Liang Dong is a tenured full professor from York University, Canada. He has been engaged in the research of numerical solution of partial differential equations, numerical simulation of environment and energy, calculation method of porous media seepage mechanics and computational electromagnetics for a long time. He has made important achievements in aerosol prediction in atmospheric environment, numerical simulation of oil reservoirs, groundwater environment calculation, Maxwell equation calculation and electromagnetic calculation of metamaterial. He has issued more than 120 papers in international authoritative journal such asJ. Comput. Phys.,SIAM J. Numer. Anal.,SIAM J. Sci. Comput.,Numer. Math.,IMA J. Appl. Math.,IMA J. Numer. Anal.,Atmos. Environ.,J. Aerosol Sci.,J. Sci. Comput.,J. Nonlinear Sci.andIEEE Trans. Antennas Propagat. In 2012, he won the DAS Award from the National Natural Science Foundation of Canada (NSERC). In recent years, he has undertaken a number of NSERC programs and MITACS programs in Canada.

Invitee:

Rui Hongxing, Professor from School of Mathematics

Time:

10:00, December 6 (Monday)

Venue:

Tencent Meeting ID: 484 255 884; meeting password: 211206

Hosted by the School of Mathematics, Shandong University