Ham, Seokjun; Li, Yibao; Kwak, Soobin; Jeong, Darae; Kim, Junseok An efficient and fast adaptive numerical method for a novel phase-field model of crystal growth. (English) Zbl 07810026 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107822, 14 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 80A22 80A19 35K05 74N05 35Q79 PDFBibTeX XMLCite \textit{S. Ham} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107822, 14 p. (2024; Zbl 07810026) Full Text: DOI
Wang, Jian; Han, Ziwei; Jiang, Wenjing; Kim, Junseok A fast, efficient, and explicit phase-field model for 3D mesh denoising. (English) Zbl 1528.94019 Appl. Math. Comput. 458, Article ID 128239, 13 p. (2023). MSC: 94A12 35Q82 82D20 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Comput. 458, Article ID 128239, 13 p. (2023; Zbl 1528.94019) Full Text: DOI
Li, Yibao; Qin, Kang; Xia, Qing; Kim, Junseok A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field. (English) Zbl 1505.65257 Appl. Numer. Math. 184, 512-526 (2023). MSC: 65M55 65M06 65N06 80A22 35K05 35Q79 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Numer. Math. 184, 512--526 (2023; Zbl 1505.65257) Full Text: DOI
Jeong, Darae; Ham, Seokjun; Kim, Junseok Direct comparison study of the Cahn-Hilliard equation with real experimental data. (English) Zbl 1511.35213 J. Korean Soc. Ind. Appl. Math. 26, No. 4, 333-342 (2022). MSC: 35K35 35K58 35-11 PDFBibTeX XMLCite \textit{D. Jeong} et al., J. Korean Soc. Ind. Appl. Math. 26, No. 4, 333--342 (2022; Zbl 1511.35213) Full Text: DOI
Xia, Qing; Kim, Junseok; Xia, Binhu; Li, Yibao An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase-field model. (English) Zbl 1524.76143 Comput. Math. Appl. 123, 26-39 (2022). MSC: 76D05 65M06 76M10 35Q35 65M12 76T06 PDFBibTeX XMLCite \textit{Q. Xia} et al., Comput. Math. Appl. 123, 26--39 (2022; Zbl 1524.76143) Full Text: DOI
Li, Yibao; Wang, Kunyang; Yu, Qian; Xia, Qing; Kim, Junseok Unconditionally energy stable schemes for fluid-based topology optimization. (English) Zbl 07526842 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106433, 21 p. (2022). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106433, 21 p. (2022; Zbl 07526842) Full Text: DOI
Wang, Jian; Lee, Chaeyoung; Lee, Hyun Geun; Zhang, Qimeng; Yang, Junxiang; Yoon, Sungha; Park, Jintae; Kim, Junseok Phase-field modeling and numerical simulation for ice melting. (English) Zbl 1488.80011 Numer. Math., Theory Methods Appl. 14, No. 2, 540-558 (2021). MSC: 80A22 80-10 80M20 35Q79 65M06 65N06 PDFBibTeX XMLCite \textit{J. Wang} et al., Numer. Math., Theory Methods Appl. 14, No. 2, 540--558 (2021; Zbl 1488.80011) Full Text: DOI
Yoon, Sungha; Wang, Jian; Lee, Chaeyoung; Yang, Junxiang; Park, Jintae; Kim, Hyundong; Kim, Junseok Numerical investigation to the effect of initial guess for phase-field models. (English) Zbl 1475.65086 East Asian J. Appl. Math. 11, No. 3, 618-646 (2021). MSC: 65M06 68U10 PDFBibTeX XMLCite \textit{S. Yoon} et al., East Asian J. Appl. Math. 11, No. 3, 618--646 (2021; Zbl 1475.65086) Full Text: DOI
Yang, Junxiang; Lee, Hyun Geun; Kim, Junseok Side wall boundary effect on the Rayleigh-Taylor instability. (English) Zbl 1479.76040 Eur. J. Mech., B, Fluids 85, 361-374 (2021). MSC: 76E17 76D05 76M99 PDFBibTeX XMLCite \textit{J. Yang} et al., Eur. J. Mech., B, Fluids 85, 361--374 (2021; Zbl 1479.76040) Full Text: DOI
Kim, Hyundong; Yoon, Sungha; Wang, Jian; Lee, Chaeyoung; Kim, Sangkwon; Park, Jintae; Kim, Junseok Shape transformation using the modified Allen-Cahn equation. (English) Zbl 1440.65089 Appl. Math. Lett. 107, Article ID 106487, 7 p. (2020). MSC: 65M06 35K55 80A22 35Q79 65D05 PDFBibTeX XMLCite \textit{H. Kim} et al., Appl. Math. Lett. 107, Article ID 106487, 7 p. (2020; Zbl 1440.65089) Full Text: DOI
Li, Yibao; Luo, Chaojun; Xia, Binhu; Kim, Junseok An efficient linear second order unconditionally stable direct discretization method for the phase-field crystal equation on surfaces. (English) Zbl 1481.82014 Appl. Math. Modelling 67, 477-490 (2019). MSC: 82C26 82D25 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Modelling 67, 477--490 (2019; Zbl 1481.82014) Full Text: DOI
Li, Yibao; Kim, Junseok An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation. (English) Zbl 1439.76122 Comput. Methods Appl. Mech. Eng. 319, 194-216 (2017). MSC: 76M20 65M06 65M12 74N05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Kim}, Comput. Methods Appl. Mech. Eng. 319, 194--216 (2017; Zbl 1439.76122) Full Text: DOI
Jeong, Darae; Kim, Junseok Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows. (English) Zbl 1390.76577 Comput. Fluids 156, 239-246 (2017). MSC: 76M20 65M06 76D05 76D27 PDFBibTeX XMLCite \textit{D. Jeong} and \textit{J. Kim}, Comput. Fluids 156, 239--246 (2017; Zbl 1390.76577) Full Text: DOI
Lee, Hyun Geun; Kim, Junseok A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces. (English) Zbl 1436.74084 Comput. Methods Appl. Mech. Eng. 307, 32-43 (2016). MSC: 74S20 65M06 65M12 74M25 PDFBibTeX XMLCite \textit{H. G. Lee} and \textit{J. Kim}, Comput. Methods Appl. Mech. Eng. 307, 32--43 (2016; Zbl 1436.74084) Full Text: DOI
Lee, Seunggyu; Jeong, Darae; Choi, Yongho; Kim, Junseok Comparison of numerical methods for ternary fluid flows: immersed boundary, level-set, and phase-field methods. (English) Zbl 1338.76018 J. Korean Soc. Ind. Appl. Math. 20, No. 1, 83-106 (2016). MSC: 76D05 76M20 76T30 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Korean Soc. Ind. Appl. Math. 20, No. 1, 83--106 (2016; Zbl 1338.76018) Full Text: DOI
Yun, Ana; Li, Yibao; Kim, Junseok A new phase-field model for a water-oil-surfactant system. (English) Zbl 1364.76038 Appl. Math. Comput. 229, 422-432 (2014). MSC: 76D05 76T99 76M25 PDFBibTeX XMLCite \textit{A. Yun} et al., Appl. Math. Comput. 229, 422--432 (2014; Zbl 1364.76038) Full Text: DOI
Jeong, Darae; Ha, Taeyoung; Kim, Myoungnyoun; Shin, Jaemin; Yoon, In-Han; Kim, Junseok An adaptive finite difference method using far-field boundary conditions for the Black-Scholes equation. (English) Zbl 1296.91282 Bull. Korean Math. Soc. 51, No. 4, 1087-1100 (2014). MSC: 91G60 65M06 65M50 91G20 PDFBibTeX XMLCite \textit{D. Jeong} et al., Bull. Korean Math. Soc. 51, No. 4, 1087--1100 (2014; Zbl 1296.91282) Full Text: DOI Link
Li, Yibao; Kim, Junseok An unconditionally stable hybrid method for image segmentation. (English) Zbl 1291.65187 Appl. Numer. Math. 82, 32-43 (2014). MSC: 65K10 65D18 49M25 49J20 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Kim}, Appl. Numer. Math. 82, 32--43 (2014; Zbl 1291.65187) Full Text: DOI
Li, Yibao; Lee, Dongsun; Lee, Hyun Geun; Jeong, Darae; Lee, Chaeyoung; Yang, Donggyu; Kim, Junseok A robust and accurate phase-field simulation of snow crystal growth. (English) Zbl 1316.65083 J. Korean Soc. Ind. Appl. Math. 16, No. 1, 15-29 (2012). MSC: 65M55 80A22 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Korean Soc. Ind. Appl. Math. 16, No. 1, 15--29 (2012; Zbl 1316.65083) Full Text: DOI
Lee, Hyun Geun; Kim, Junseok Regularized Dirac delta functions for phase field models. (English) Zbl 1246.76148 Int. J. Numer. Methods Eng. 91, No. 3, 269-288 (2012). MSC: 76T99 76M25 PDFBibTeX XMLCite \textit{H. G. Lee} and \textit{J. Kim}, Int. J. Numer. Methods Eng. 91, No. 3, 269--288 (2012; Zbl 1246.76148) Full Text: DOI
Li, Yibao; Kim, Junseok Multiphase image segmentation using a phase-field model. (English) Zbl 1228.94009 Comput. Math. Appl. 62, No. 2, 737-745 (2011). MSC: 94A08 65M06 65M55 68U10 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Kim}, Comput. Math. Appl. 62, No. 2, 737--745 (2011; Zbl 1228.94009) Full Text: DOI
Li, Yibao; Kim, Junseok A fast and accurate numerical method for medical image segmentation. (English) Zbl 1280.92031 J. Korean Soc. Ind. Appl. Math. 14, No. 4, 201-210 (2010). MSC: 92C55 65M55 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Kim}, J. Korean Soc. Ind. Appl. Math. 14, No. 4, 201--210 (2010; Zbl 1280.92031)
Kim, Junseok A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows. (English) Zbl 1229.76105 Comput. Methods Appl. Mech. Eng. 198, No. 37-40, 3105-3112 (2009). MSC: 76T30 76D45 76M25 PDFBibTeX XMLCite \textit{J. Kim}, Comput. Methods Appl. Mech. Eng. 198, No. 37--40, 3105--3112 (2009; Zbl 1229.76105) Full Text: DOI
Kim, Junseok Phase field computations for ternary fluid flows. (English) Zbl 1173.76423 Comput. Methods Appl. Mech. Eng. 196, No. 45-48, 4779-4788 (2007). MSC: 76T30 76D05 76M45 76M12 PDFBibTeX XMLCite \textit{J. Kim}, Comput. Methods Appl. Mech. Eng. 196, No. 45--48, 4779--4788 (2007; Zbl 1173.76423) Full Text: DOI
Kim, Junseok Three-dimensional numerical simulations of a phase-field model for anisotropic interfacial energy. (English) Zbl 1168.74416 Commun. Korean Math. Soc. 22, No. 3, 453-464 (2007). MSC: 74N20 65M06 65M55 PDFBibTeX XMLCite \textit{J. Kim}, Commun. Korean Math. Soc. 22, No. 3, 453--464 (2007; Zbl 1168.74416) Full Text: DOI