Yang, Xiaofeng Efficient and energy stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-invariant energy quadratization (S-IEQ) approach. (English) Zbl 07505949 J. Comput. Phys. 438, Article ID 110342, 24 p. (2021). MSC: 65Mxx 35Kxx 76Dxx PDFBibTeX XMLCite \textit{X. Yang}, J. Comput. Phys. 438, Article ID 110342, 24 p. (2021; Zbl 07505949) Full Text: DOI
Yang, Xiaofeng Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen-Cahn phase-field model. (English) Zbl 1473.65247 Math. Models Methods Appl. Sci. 31, No. 4, 753-787 (2021). MSC: 65M70 65M12 65M60 35K57 PDFBibTeX XMLCite \textit{X. Yang}, Math. Models Methods Appl. Sci. 31, No. 4, 753--787 (2021; Zbl 1473.65247) Full Text: DOI
Xu, Zhen; Yang, Xiaofeng; Zhang, Hui Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows. (English) Zbl 1440.65104 J. Sci. Comput. 83, No. 3, Paper No. 57, 27 p. (2020). MSC: 65M06 65M12 65M15 65N08 65Z05 76D05 76T06 35Q30 PDFBibTeX XMLCite \textit{Z. Xu} et al., J. Sci. Comput. 83, No. 3, Paper No. 57, 27 p. (2020; Zbl 1440.65104) Full Text: DOI
Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. (English) Zbl 1441.76143 Comput. Methods Appl. Mech. Eng. 356, 435-464 (2019). MSC: 76W05 76M10 78M10 78A25 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Methods Appl. Mech. Eng. 356, 435--464 (2019; Zbl 1441.76143) Full Text: DOI
Yang, Xiaofeng Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system. (English) Zbl 1456.65080 J. Sci. Comput. 74, No. 3, 1533-1553 (2018). MSC: 65M06 65M12 76D45 35Q35 35Q56 PDFBibTeX XMLCite \textit{X. Yang}, J. Sci. Comput. 74, No. 3, 1533--1553 (2018; Zbl 1456.65080) Full Text: DOI arXiv
Gao, Yali; He, Xiaoming; Mei, Liquan; Yang, Xiaofeng Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model. (English) Zbl 1426.76261 SIAM J. Sci. Comput. 40, No. 1, B110-B137 (2018). MSC: 76M10 76S05 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Gao} et al., SIAM J. Sci. Comput. 40, No. 1, B110--B137 (2018; Zbl 1426.76261) Full Text: DOI
Yang, Xiaofeng; Ju, Lili Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model. (English) Zbl 1439.76029 Comput. Methods Appl. Mech. Eng. 318, 1005-1029 (2017). MSC: 76D27 76M99 76Txx PDFBibTeX XMLCite \textit{X. Yang} and \textit{L. Ju}, Comput. Methods Appl. Mech. Eng. 318, 1005--1029 (2017; Zbl 1439.76029) Full Text: DOI arXiv
Yang, Xiaofeng; Han, Daozhi Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model. (English) Zbl 1380.65209 J. Comput. Phys. 330, 1116-1134 (2017). MSC: 65M12 82D25 PDFBibTeX XMLCite \textit{X. Yang} and \textit{D. Han}, J. Comput. Phys. 330, 1116--1134 (2017; Zbl 1380.65209) Full Text: DOI
Yu, Haijun; Yang, Xiaofeng Numerical approximations for a phase-field moving contact line model with variable densities and viscosities. (English) Zbl 1375.76201 J. Comput. Phys. 334, 665-686 (2017). MSC: 76T10 76D05 65M60 PDFBibTeX XMLCite \textit{H. Yu} and \textit{X. Yang}, J. Comput. Phys. 334, 665--686 (2017; Zbl 1375.76201) Full Text: DOI arXiv
Yang, Xiaofeng; Zhao, Jia; Wang, Qi; Shen, Jie Numerical approximations for a three-component Cahn-Hilliard phase-field model based on the invariant energy quadratization method. (English) Zbl 1393.80003 Math. Models Methods Appl. Sci. 27, No. 11, 1993-2030 (2017). MSC: 80A22 80M25 35K25 35K45 35K55 PDFBibTeX XMLCite \textit{X. Yang} et al., Math. Models Methods Appl. Sci. 27, No. 11, 1993--2030 (2017; Zbl 1393.80003) Full Text: DOI arXiv
Zhao, Jia; Li, Huiyuan; Wang, Qi; Yang, Xiaofeng Decoupled energy stable schemes for a phase field model of three-phase incompressible viscous fluid flow. (English) Zbl 1397.76098 J. Sci. Comput. 70, No. 3, 1367-1389 (2017). MSC: 76M20 65M06 65Y10 76Dxx 76T30 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Sci. Comput. 70, No. 3, 1367--1389 (2017; Zbl 1397.76098) Full Text: DOI
Han, Daozhi; Brylev, Alex; Yang, Xiaofeng; Tan, Zhijun Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows. (English) Zbl 1397.76070 J. Sci. Comput. 70, No. 3, 965-989 (2017). MSC: 76M10 65M60 76T99 PDFBibTeX XMLCite \textit{D. Han} et al., J. Sci. Comput. 70, No. 3, 965--989 (2017; Zbl 1397.76070) Full Text: DOI
Zhao, Jia; Wang, Qi; Yang, Xiaofeng Numerical approximations to a new phase field model for two phase flows of complex fluids. (English) Zbl 1439.76123 Comput. Methods Appl. Mech. Eng. 310, 77-97 (2016). MSC: 76M20 65M06 65M12 76A15 76D27 PDFBibTeX XMLCite \textit{J. Zhao} et al., Comput. Methods Appl. Mech. Eng. 310, 77--97 (2016; Zbl 1439.76123) Full Text: DOI
Zhao, Jia; Yang, Xiaofeng; Shen, Jie; Wang, Qi A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. (English) Zbl 1349.76019 J. Comput. Phys. 305, 539-556 (2016). MSC: 76A15 82D30 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Comput. Phys. 305, 539--556 (2016; Zbl 1349.76019) Full Text: DOI
Liu, Chun; Shen, Jie; Yang, Xiaofeng Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. (English) Zbl 1326.76064 J. Sci. Comput. 62, No. 2, 601-622 (2015). MSC: 76M10 65M60 65M70 76D05 76D27 76T99 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Sci. Comput. 62, No. 2, 601--622 (2015; Zbl 1326.76064) Full Text: DOI
Yang, Xiaofeng; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. (English) Zbl 1286.65112 J. Comput. Phys. 236, 1-14 (2013). MSC: 65M12 76A15 76T99 76D05 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Comput. Phys. 236, 1--14 (2013; Zbl 1286.65112) Full Text: DOI
Shen, Jie; Yang, Xiaofeng Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows. (English) Zbl 1400.65049 Chin. Ann. Math., Ser. B 31, No. 5, 743-758 (2010). MSC: 65M12 65M70 35K55 76D05 80A22 PDFBibTeX XMLCite \textit{J. Shen} and \textit{X. Yang}, Chin. Ann. Math., Ser. B 31, No. 5, 743--758 (2010; Zbl 1400.65049) Full Text: DOI