Numerical simulation of Swift-Hohenberg equation by the fourth-order compact scheme. - Jian Su; Weiwei Fang; Qian Yu 004; Yibao Li (Comput. Appl. Math., 2019)

An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen-Cahn equation. - Jianmin Long; Chaojun Luo; Qian Yu 004; Yibao Li (Comput. Math. Appl., 2019)

A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system. - Yibao Li; Qian Yu 004; Weiwei Fang; Binhu Xia; Junseok Kim (Adv. Comput. Math., 2021)

First and second order unconditionally energy stable schemes for topology optimization based on phase field method. - Qian Yu 004; Kunyang Wang; Binhu Xia; Yibao Li (Appl. Math. Comput., 2021)

Unconditionally energy stable schemes for fluid-based topology optimization. - Yibao Li; Kunyang Wang; Qian Yu 004; Qing Xia 009; Junseok Kim (Commun. Nonlinear Sci. Numer. Simul., 2022)

A phase field-based systematic multiscale topology optimization method for porous structures design. - Qian Yu 004; Qing Xia 009; Yibao Li (J. Comput. Phys., 2022)

Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model. - Qing Xia 009; Gangming Sun; Qian Yu 004; 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 004; Yibao Li (Comput. Math. Appl., 2023)

Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer. - Qing Xia 009; Junxia Zhu; Qian Yu 004; Junseok Kim; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2024)