Liu, Chun; Wang, Cheng; Wise, Steven M.; Yue, Xingye; Zhou, Shenggao A second order accurate, positivity preserving numerical method for the Poisson-Nernst-Planck system and its convergence analysis. (English) Zbl 07751604 J. Sci. Comput. 97, No. 1, Paper No. 23, 35 p. (2023). MSC: 65-XX 35K35 35K55 65M06 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Sci. Comput. 97, No. 1, Paper No. 23, 35 p. (2023; Zbl 07751604) Full Text: DOI arXiv
Yuan, Maoqin; Chen, Wenbin; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru A second order accurate in time, energy stable finite element scheme for the Flory-Huggins-Cahn-Hilliard equation. (English) Zbl 1513.35293 Adv. Appl. Math. Mech. 14, No. 6, 1477-1508 (2022). MSC: 35K25 35K55 60F10 65M60 PDFBibTeX XMLCite \textit{M. Yuan} et al., Adv. Appl. Math. Mech. 14, No. 6, 1477--1508 (2022; Zbl 1513.35293) Full Text: DOI
Dong, Lixiu; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. (English) Zbl 1503.65168 J. Comput. Appl. Math. 415, Article ID 114474, 18 p. (2022). MSC: 65M06 35K35 65M12 65M15 PDFBibTeX XMLCite \textit{L. Dong} et al., J. Comput. Appl. Math. 415, Article ID 114474, 18 p. (2022; Zbl 1503.65168) Full Text: DOI
Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M. Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. (English) Zbl 07516278 SIAM J. Numer. Anal. 60, No. 2, 781-803 (2022). MSC: 65-XX 35K35 35K55 49J40 65M06 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Numer. Anal. 60, No. 2, 781--803 (2022; Zbl 07516278) Full Text: DOI arXiv
Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. (English) Zbl 07493157 Commun. Comput. Phys. 31, No. 1, 60-93 (2022). MSC: 65-XX 35K35 35K55 49J40 65K10 65M06 65M12 PDFBibTeX XMLCite \textit{W. Chen} et al., Commun. Comput. Phys. 31, No. 1, 60--93 (2022; Zbl 07493157) Full Text: DOI
Liu, Chun; Wang, Cheng; Wise, Steven M.; Yue, Xingye; Zhou, Shenggao An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. (English) Zbl 1503.65177 J. Comput. Appl. Math. 406, Article ID 114017, 13 p. (2022). MSC: 65M06 35K35 35K55 49J40 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Comput. Appl. Math. 406, Article ID 114017, 13 p. (2022; Zbl 1503.65177) Full Text: DOI
Dong, Lixiu; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. (English) Zbl 07513797 J. Comput. Phys. 442, Article ID 110451, 29 p. (2021). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{L. Dong} et al., J. Comput. Phys. 442, Article ID 110451, 29 p. (2021; Zbl 07513797) Full Text: DOI arXiv
Liu, Chun; Wang, Cheng; Wise, Steven M.; Yue, Xingye; Zhou, Shenggao A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. (English) Zbl 1480.65213 Math. Comput. 90, No. 331, 2071-2106 (2021). MSC: 65M06 65M12 35C20 35K35 35K55 35A01 35B09 49J40 78A57 35Q60 PDFBibTeX XMLCite \textit{C. Liu} et al., Math. Comput. 90, No. 331, 2071--2106 (2021; Zbl 1480.65213) Full Text: DOI arXiv
Yuan, Maoqin; Chen, Wenbin; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels. (English) Zbl 1473.65219 J. Sci. Comput. 87, No. 3, Paper No. 78, 30 p. (2021). MSC: 65M60 65N30 35K25 35K55 60F10 35Q35 PDFBibTeX XMLCite \textit{M. Yuan} et al., J. Sci. Comput. 87, No. 3, Paper No. 78, 30 p. (2021; Zbl 1473.65219) Full Text: DOI arXiv
Zhang, Juan; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. (English) Zbl 1468.65119 SIAM J. Sci. Comput. 43, No. 2, A1248-A1272 (2021). MSC: 65M06 65M12 76A20 35K35 35K55 49J40 PDFBibTeX XMLCite \textit{J. Zhang} et al., SIAM J. Sci. Comput. 43, No. 2, A1248--A1272 (2021; Zbl 1468.65119) Full Text: DOI arXiv
Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. (English) Zbl 07785514 J. Comput. Phys.: X 3, Article ID 100031, 29 p. (2019). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{W. Chen} et al., J. Comput. Phys.: X 3, Article ID 100031, 29 p. (2019; Zbl 07785514) Full Text: DOI arXiv