Li, Na; Lin, Ping; Gao, Fuzheng A SAV finite element method for the Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 07756785 J. Comput. Appl. Math. 438, Article ID 115584, 15 p. (2024). MSC: 65M60 35Q82 PDFBibTeX XMLCite \textit{N. Li} et al., J. Comput. Appl. Math. 438, Article ID 115584, 15 p. (2024; Zbl 07756785) Full Text: DOI
Shen, Lingyue; Lin, Ping; Xu, Zhiliang; Xu, Shixin Diffuse interface model for cell interaction and aggregation with lennard-Jones type potential. (English) Zbl 07736349 Comput. Methods Appl. Mech. Eng. 415, Article ID 116257, 25 p. (2023). MSC: 92-XX 76-XX PDFBibTeX XMLCite \textit{L. Shen} et al., Comput. Methods Appl. Mech. Eng. 415, Article ID 116257, 25 p. (2023; Zbl 07736349) Full Text: DOI
Guo, Zhenlin; Cheng, Qing; Lin, Ping; Liu, Chun; Lowengrub, John Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density. (English) Zbl 07516811 J. Comput. Phys. 448, Article ID 110727, 17 p. (2022). MSC: 76M20 65M06 76T06 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Comput. Phys. 448, Article ID 110727, 17 p. (2022; Zbl 07516811) Full Text: DOI
Guo, Zhenlin; Yu, Fei; Lin, Ping; Wise, Steven; Lowengrub, John A diffuse domain method for two-phase flows with large density ratio in complex geometries. (English) Zbl 1461.76447 J. Fluid Mech. 907, Paper No. A38, 28 p. (2021). MSC: 76T06 76D05 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Fluid Mech. 907, Paper No. A38, 28 p. (2021; Zbl 1461.76447) Full Text: DOI Link
Shen, Lingyue; Huang, Huaxiong; Lin, Ping; Song, Zilong; Xu, Shixin An energy stable \(C^0\) finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. (English) Zbl 1453.65343 J. Comput. Phys. 405, Article ID 109179, 27 p. (2020). MSC: 65M60 76M10 76T06 76T10 PDFBibTeX XMLCite \textit{L. Shen} et al., J. Comput. Phys. 405, Article ID 109179, 27 p. (2020; Zbl 1453.65343) Full Text: DOI arXiv
Li, Na; Lin, Ping; Gao, Fuzheng Energy law preserving finite element scheme for the Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1474.76039 Commun. Comput. Phys. 26, No. 5, 1490-1509 (2019). MSC: 76M10 76T10 PDFBibTeX XMLCite \textit{N. Li} et al., Commun. Comput. Phys. 26, No. 5, 1490--1509 (2019; Zbl 1474.76039) Full Text: DOI
Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M. Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. (English) Zbl 1439.76121 Comput. Methods Appl. Mech. Eng. 326, 144-174 (2017). MSC: 76M20 65M06 65M12 76D05 PDFBibTeX XMLCite \textit{Z. Guo} et al., Comput. Methods Appl. Mech. Eng. 326, 144--174 (2017; Zbl 1439.76121) Full Text: DOI arXiv
Guo, Z.; Lin, P. A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. (English) Zbl 1337.76023 J. Fluid Mech. 766, 226-271 (2015). MSC: 76D45 76Txx PDFBibTeX XMLCite \textit{Z. Guo} and \textit{P. Lin}, J. Fluid Mech. 766, 226--271 (2015; Zbl 1337.76023) Full Text: DOI arXiv
Guo, Z.; Lin, P.; Lowengrub, J. S. A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law. (English) Zbl 1349.76057 J. Comput. Phys. 276, 486-507 (2014). MSC: 76D05 76M10 65M60 82C26 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Comput. Phys. 276, 486--507 (2014; Zbl 1349.76057) Full Text: DOI arXiv
Guo, Zhenlin; Lin, Ping; Wang, Yangfan Continuous finite element schemes for a phase field model in two-layer fluid Bénard-Marangoni convection computations. (English) Zbl 1344.76053 Comput. Phys. Commun. 185, No. 1, 63-78 (2014). MSC: 76M10 80A20 76R10 PDFBibTeX XMLCite \textit{Z. Guo} et al., Comput. Phys. Commun. 185, No. 1, 63--78 (2014; Zbl 1344.76053) Full Text: DOI
Lin, Ping; Shu, Chiwang Numerical solution of a virtual internal bond model for material fracture. (English) Zbl 1098.74525 Physica D 167, No. 1-2, 101-121 (2002). MSC: 74A45 PDFBibTeX XMLCite \textit{P. Lin} and \textit{C. Shu}, Physica D 167, No. 1--2, 101--121 (2002; Zbl 1098.74525) Full Text: DOI