Simple and efficient volume merging method for triply periodic minimal structures. - Yibao Li; Qing Xia 009; Sungha Yoon; Chaeyoung Lee; Bingheng Lu; Junseok Kim (Comput. Phys. Commun., 2021)

An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase-field model. - Qing Xia 009; Junseok Kim; Binhu Xia; Yibao Li (Comput. Math. Appl., 2022)

Unconditionally energy stable schemes for fluid-based topology optimization. - Yibao Li; Kunyang Wang; Qian Yu; Qing Xia 009; Junseok Kim (Commun. Nonlinear Sci. Numer. Simul., 2022)

First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces. - Yibao Li; Rui Liu; Qing Xia 009; Chenxi He; Zhong Li (J. Comput. Appl. Math., 2022)

A phase field-based systematic multiscale topology optimization method for porous structures design. - Qian Yu; Qing Xia 009; Yibao Li (J. Comput. Phys., 2022)

A robust and efficient fingerprint image restoration method based on a phase-field model. - Yibao Li; Qing Xia 009; Chaeyoung Lee; Sangkwon Kim; Junseok Kim (Pattern Recognit., 2022)

Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model. - Qing Xia 009; Gangming Sun; Qian Yu; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

An effective phase field method for topology optimization without the curvature effects. - Wenxuan Xie; Qing Xia 009; Qian Yu; Yibao Li (Comput. Math. Appl., 2023)

A modified and efficient phase field model for the biological transport network. - Qing Xia 009; Xiaoyu Jiang; Yibao Li (J. Comput. Phys., 2023)

An efficient linear and unconditionally stable numerical scheme for the phase field sintering model. - Jingjie Cheng; Qing Xia 009; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model. - Qing Xia 009; Yuehan Liu; Junseok Kim; Yibao Li (J. Comput. Appl. Math., 2023)

An unconditional energy stable data assimilation scheme for Navier-Stokes-Cahn-Hilliard equations with local discretized observed data. - Xin Song; Qing Xia 009; Junseok Kim; Yibao Li (Comput. Math. Appl., 2024)

Efficient second-order accurate scheme for fluid-surfactant systems on curved surfaces with unconditional energy stability. - Bing Jiang; Qing Xia 009; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2024)

Phase-field based modeling and simulation for selective laser melting techniques in additive manufacturing. - Sijing Lai; Qing Xia 009; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2024)

On the phase field based model for the crystalline transition and nucleation within the Lagrange multiplier framework. - Qing Xia 009; Junxiang Yang; Junseok Kim; Yibao Li (J. Comput. Phys., 2024)

A practical algorithm for the design of multiple-sized porous scaffolds with triply periodic structures. - Yibao Li; Qing Xia 009; Seungyoon Kang; Soobin Kwak; Junseok Kim (Math. Comput. Simul., 2024)

Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer. - Qing Xia 009; Junxia Zhu; Qian Yu; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2024)

A second-order accurate numerical method with unconditional energy stability for the Lifshitz-Petrich equation on curved surfaces. - Xiaochuan Hu; Qing Xia 009; Binhu Xia; Yibao Li (Appl. Math. Lett., 2025)

Decoupled, efficient and structure-preserving numerical scheme for a non-isothermal phase field sintering model. - Jingjie Cheng; Qing Xia 009; Binhu Xia; Junseok Kim; Yibao Li (Comput. Math. Appl., 2025)

Phase field modeling of melting and solidification dynamics in metallic powders during the bed fusion process. - Qing Xia 009; Sijing Lai; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2025)

Phase-field modeling of fiber-based thermal diffusion and phase transitions in the fused deposition modeling process. - Binhu Xia; Sijing Lai; Qing Xia 009; Xiang Liu; Yibao Li; Junseok Kim (Commun. Nonlinear Sci. Numer. Simul., 2025)

Non-isothermal hydrodynamic modeling and analysis for the flow boiling in microchannels based heat exchanger. - Jingjie Cheng; Qing Xia 009; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2026)