Hyun Geun Lee

ORCID: 0000-0001-5135-195X
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About
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Research Areas
  • Solidification and crystal growth phenomena
  • Fluid Dynamics and Thin Films
  • Aluminum Alloy Microstructure Properties
  • Differential Equations and Numerical Methods
  • Advanced Mathematical Modeling in Engineering
  • nanoparticles nucleation surface interactions
  • Nonlinear Dynamics and Pattern Formation
  • Advanced Numerical Methods in Computational Mathematics
  • Fractional Differential Equations Solutions
  • Fluid Dynamics and Turbulent Flows
  • Mathematical Biology Tumor Growth
  • Lattice Boltzmann Simulation Studies
  • Theoretical and Computational Physics
  • Fluid Dynamics and Heat Transfer
  • Liquid Crystal Research Advancements
  • Metallic Glasses and Amorphous Alloys
  • Cellular Mechanics and Interactions
  • Bone Tissue Engineering Materials
  • Generative Adversarial Networks and Image Synthesis
  • Magnetic Properties and Applications
  • Numerical methods for differential equations
  • Advanced Materials and Mechanics
  • Advanced Image Processing Techniques
  • Particle Dynamics in Fluid Flows
  • Nanomaterials and Printing Technologies

Kwangwoon University
2017-2024

Ewha Womans University
2014-2016

Korea University
2008-2014

National Institute for Mathematical Sciences
2013

10.1016/j.euromechflu.2014.08.001 article EN European Journal of Mechanics - B/Fluids 2014-08-27

In recent years, Fourier spectral methods have been widely used as a powerful tool for solving phase-field equations. To improve its effectiveness, many researchers employed stabilized semi-implicit (SIFS) which allow much larger time step than usual explicit scheme. Our mathematical analysis and numerical experiments, however, suggest that an effective is smaller specified in the SIFS schemes. consequence, scheme inaccurate considerably large may lead to incorrect morphologies phase...

10.1016/j.camwa.2014.05.015 article EN publisher-specific-oa Computers & Mathematics with Applications 2014-06-06

10.1016/j.camwa.2013.08.021 article EN publisher-specific-oa Computers & Mathematics with Applications 2013-09-10

Tissue engineering scaffolds provide temporary mechanical support for tissue regeneration. To regenerate tissues more efficiently, an ideal structure of should have appropriate porosity and pore structure. In this paper, we generate the Schwarz primitive (P) surface with various volume fractions using a phase‐field model. The model enables us to design surface‐to‐volume ratio structures high properties. Comparing P surface′s von Mises stress that triply periodic cylinders cubes, draw...

10.1155/2012/694194 article EN cc-by Mathematical Problems in Engineering 2012-01-01

10.1016/j.cma.2017.03.033 article EN Computer Methods in Applied Mechanics and Engineering 2017-04-11

10.1016/j.cma.2018.08.019 article EN Computer Methods in Applied Mechanics and Engineering 2018-08-20

10.1016/j.camwa.2017.06.053 article EN Computers & Mathematics with Applications 2017-08-04

10.1016/j.cam.2017.09.007 article EN publisher-specific-oa Journal of Computational and Applied Mathematics 2017-10-02

In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), crystal (PFC), and molecular beam epitaxy (MBE) growth. These equations are very important parabolic partial differential applicable to many interesting scientific problems. The AC equation is a reaction-diffusion modeling anti-phase domain coarsening dynamics. CH models phase segregation of binary mixtures. SH popular model generating patterns in...

10.3390/math8081385 article EN cc-by Mathematics 2020-08-18
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