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报告题目:Fast solvers for numerical simulations with applications in microfluidics and antenna design
报告人：龚世华 助理教授 香港中文大学（深圳）
报告时间：2026年1月3日 上午10:00-11:00
报告地点：红瓦楼726
报告内容简介：Many modern technologies—such as wireless communication devices and microfluidic chips—rely on large-scale numerical simulations. In these simulations, solving the underlying algebraic systems often takes most of the computing time. In this talk, I will introduce several ideas that help accelerate two types of simulations arising from antenna electromagnetics and microfluidic particulate flows.
For antenna problems, we study frequency-domain models such as the Helmholtz and time-harmonic Maxwell equations, which lead to large, non-Hermitian, and highly oscillatory linear systems. I will explain the basic concepts behind overlapping Schwarz domain decomposition methods, highlight their theoretical property of power contractivity, and show how they lead to a massively parallel solver whose solving time grows almost linearly with the wave number. I will also present recent progress on applying similar strategies to Maxwell equations.
For microfluidics, we focus on simulations of rigid particles interacting with incompressible fluid flows. These problems involve a moving fluid–solid interface and require efficient algorithms for long-time simulations. I will introduce methods based on Eulerian–Lagrangian interface tracking and distributed Lagrange multipliers, which allow accurate quadrature, a sharp particle boundary representation, and the potential for high-order accuracy. I will also discuss the stability of the resulting variational formulations and how this leads to robust parallel solvers. The talk will conclude with several simulation examples in microfluidic environments.
报告人简介：Shihua Gong obtained his PhD degree in computational mathematics from Peking University in 2018. Before joining the Chinese University of Hong Kong (Shenzhen), He worked as a postdoctoral scholar at Pennsylvania State University and then as a research associate at the University of Bath. His research interests include scientific computing and numerical analysis, mainly focusing on finite element and preconditioning techniques for frequency-domain wave equations and coupled equations for multiphysics problems.
报告邀请人：黄学海
