Min Joo-Hong
Ewha Womans University · 工学
研究室紹介
Professor Min Joo-Hong's research lab specializes in computational mathematics and applied numerical analysis, with a focus on developing and analyzing numerical methods for partial differential equations, particularly on complex and irregular domains. The lab investigates interface and boundary treatment techniques in PDEs, including the Ghost Fluid Method for Poisson and diffusion-type problems, and explores their applications in multiphase and Stefan-type problems. Additionally, the lab engages in experimental and computational studies of nonlinear dynamical systems, exemplified by their work on the Malkus–Lorenz waterwheel, where they combine image processing with bifurcation analysis to study chaotic behavior. The lab also emphasizes pedagogical innovation in numerical linear algebra, particularly in simplifying the understanding of advanced algorithms like the QR method for eigenvalue computation.
Research Overview
Research Output Trend
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Selected Papers
15We consider the variable coefficient Poisson equation with Dirichlet boundary conditions on irregular domains. We present numerical evidence for the accuracy of the solution and its gradients for different treatments at the interface using the Ghost Fluid Method for Poisson problems of Gibou et al . (J. Comput. Phys. 176:205–227, 2002 ; 202:577–601, 2005 ). This paper is therefore intended as a guide for those interested in using the GFM for Poisson-type problems (and by consequence diffusion-li