DEPARTMENT OF APPLIED MATHEMATICS 88 Email yanping.lin@polyu.edu.hk Qualification BSc (Northeastern University) MSc (Washington State University) PhD (Washington State University) ORCID ID 0000-0002-2461-7166 Prof. LIN Yanping Research Professor Research Overview It is well known that numerical algorithms with extensive simulations has been an integral part of modeling in any modern engineering applications, so that better and efficient numerical algorithms play a central role in better understanding the complex physical phenomena. My research concerns with the development, analysis and applications of efficient numerical methods for partial differential equation models in engineering sciences. Recently I focus on the mathematical analysis for the finite/volume methods involved in accurately capturing sharp interfaces in porous media flow flows, electrodynamics (Maxwell types) and parameter/ shape identifications. Representative Publications • S Geng, Y Lin, M Mei, Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case, SIAM Journal on Mathematical Analysis, 52(2), (2020) 1463-1488 • R Guo, T Lin, Y Lin, Recovering elastic inclusions by shape optimization methods with immersed finite elements, Journal of Computational Physics, 404, (2020) 109123 • C Qiu, X He, J Li, Y Lin, A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition, Journal of Computational Physics, 411, (2020) 109400 • C Ma, L Cao and Y Lin, Energy Conserving Galerkin Finite Element Methods for the Maxwell-Klein-Gordon System, SIAM Journal on Numerical Analysis, 58(2), (2020) 13391366 • C Ma, L Cao, Y Lin, Multiscale Algorithms and Computations for the Time-Dependent Maxwell-Schrödinger System in Heterogeneous Nanostructures, SIAM Journal on Scientific Computing, 41(2), (2019) A1091-A1120
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