Hyun Geun Lee

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 18

Top Topics

Lagrange Multipliers

Numerical Methods

Top Venues

Comput. Math. Appl.

Appl. Math. Lett.

J. Comput. Phys.

J. Sci. Comput.

Publications

Hyun Geun Lee
A linear second-order convex splitting scheme for the modified phase-field crystal equation with a strong nonlinear vacancy potential. Appl. Math. Lett. 156 (2024)
Hyun Geun Lee, Jaemin Shin, June-Yub Lee
Energy quadratization Runge-Kutta scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier. Appl. Math. Lett. 132 (2022)
Hyun Geun Lee, Jaemin Shin, June-Yub Lee
A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen-Cahn Equation with a Nonlocal Lagrange Multiplier. J. Sci. Comput. 90 (1) (2022)
Hyun Geun Lee
A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity. Appl. Math. Lett. 123 (2022)
Soobin Kwak, Hyun Geun Lee, Yibao Li, Junxiang Yang, Chaeyoung Lee, Hyundong Kim, Seungyoon Kang, Junseok Kim
Motion by Mean Curvature with Constraints Using a Modified Allen-Cahn Equation. J. Sci. Comput. 92 (1) (2022)
Hyun Geun Lee, Junxiang Yang, Sang-Kwon Kim, Junseok Kim
Modeling and simulation of droplet evaporation using a modified Cahn-Hilliard equation. Appl. Math. Comput. 390 (2021)
Hyun Geun Lee
A new conservative Swift-Hohenberg equation and its mass conservative method. J. Comput. Appl. Math. 375 (2020)
Hyun Geun Lee, Junxiang Yang, Junseok Kim
Pinning boundary conditions for phase-field models. Commun. Nonlinear Sci. Numer. Simul. 82 (2020)
Hyun Geun Lee
Numerical Simulation of Pattern Formation on Surfaces Using an Efficient Linear Second-Order Method. Symmetry 11 (8) (2019)
Hyun Geun Lee
A second-order operator splitting Fourier spectral method for fractional-in-space reaction-diffusion equations. J. Comput. Appl. Math. 333 (2018)
Hyun Geun Lee, Jaemin Shin, June-Yub Lee
A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth. J. Sci. Comput. 71 (3) (2017)
Hyun Geun Lee
A semi-analytical Fourier spectral method for the Swift-Hohenberg equation. Comput. Math. Appl. 74 (8) (2017)
Jaemin Shin, Hyun Geun Lee, June-Yub Lee
Convex Splitting Runge-Kutta methods for phase-field models. Comput. Math. Appl. 73 (11) (2017)
Junseok Kim, Hyun Geun Lee
A new conservative vector-valued Allen-Cahn equation and its fast numerical method. Comput. Phys. Commun. 221 (2017)
Jaemin Shin, Hyun Geun Lee, June-Yub Lee
Unconditionally stable methods for gradient flow using Convex Splitting Runge-Kutta scheme. J. Comput. Phys. 347 (2017)
Jaemin Shin, Hyun Geun Lee, June-Yub Lee
First and second order numerical methods based on a new convex splitting for phase-field crystal equation. J. Comput. Phys. 327 (2016)
Hyun Geun Lee
High-order and mass conservative methods for the conservative Allen-Cahn equation. Comput. Math. Appl. 72 (3) (2016)
Yibao Li, Hyun Geun Lee, Binhu Xia, Junseok Kim
A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation. Comput. Phys. Commun. 200 (2016)
Hyun Geun Lee, Jaemin Shin, June-Yub Lee
First and second order operator splitting methods for the phase field crystal equation. J. Comput. Phys. 299 (2015)
Hyun Geun Lee, Junseok Kim
A simple and robust boundary treatment for the forced Korteweg-de Vries equation. Commun. Nonlinear Sci. Numer. Simul. 19 (7) (2014)
Hyun Geun Lee, June-Yub Lee
A semi-analytical Fourier spectral method for the Allen-Cahn equation. Comput. Math. Appl. 68 (3) (2014)
Hyun Geun Lee, Junseok Kim
Numerical simulation of the three-dimensional Rayleigh-Taylor instability. Comput. Math. Appl. 66 (8) (2013)
Hyun Geun Lee, Junseok Kim
An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations. Comput. Phys. Commun. 183 (10) (2012)
Seong-Deog Yang, Hyun Geun Lee, Junseok Kim
A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint. Comput. Phys. Commun. 181 (6) (2010)
Yibao Li, Hyun Geun Lee, Darae Jeong, Junseok Kim
An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation. Comput. Math. Appl. 60 (6) (2010)