Cao, Weichen; Yang, Hengli; Chen, Wenbin An exponential time differencing Runge-Kutta method ETDRK32 for phase field models. (English) Zbl 07812560 J. Sci. Comput. 99, No. 1, Paper No. 6, 27 p. (2024). MSC: 65M70 65L06 65L05 65M12 35K61 35K55 PDFBibTeX XMLCite \textit{W. Cao} et al., J. Sci. Comput. 99, No. 1, Paper No. 6, 27 p. (2024; Zbl 07812560) Full Text: DOI
Liu, Qianqian; Duan, Chenghua; Chen, Wenbin EnVarA-FEM for the flux-limited porous medium equation. (English) Zbl 07748037 J. Comput. Phys. 493, Article ID 112432, 31 p. (2023). MSC: 35Kxx 65Mxx 35Qxx PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Comput. Phys. 493, Article ID 112432, 31 p. (2023; Zbl 07748037) Full Text: DOI
Liu, Qianqian; Jing, Jianyu; Yuan, Maoqin; Chen, Wenbin A positivity-preserving, energy stable BDF2 scheme with variable steps for the Cahn-Hilliard equation with logarithmic potential. (English) Zbl 07698850 J. Sci. Comput. 95, No. 2, Paper No. 37, 39 p. (2023). MSC: 65-XX 35K35 35K55 65M12 65M60 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Sci. Comput. 95, No. 2, Paper No. 37, 39 p. (2023; Zbl 07698850) Full Text: DOI
Duan, Chenghua; Chen, Wenbin; Liu, Chun; Wang, Cheng; Zhou, Shenggao Convergence analysis of structure-preserving numerical methods for nonlinear Fokker-Planck equations with nonlocal interactions. (English) Zbl 07780620 Math. Methods Appl. Sci. 45, No. 7, 3764-3781 (2022). MSC: 65M75 65M06 65M12 65M15 35K65 76M20 76M28 35B40 35R60 35Q84 PDFBibTeX XMLCite \textit{C. Duan} et al., Math. Methods Appl. Sci. 45, No. 7, 3764--3781 (2022; Zbl 07780620) Full Text: DOI
Guo, Liming; Chen, Wenbin Decoupled modified characteristic finite element method for the time-dependent Navier-Stokes/Biot problem. (English) Zbl 07779675 Numer. Methods Partial Differ. Equations 38, No. 6, 1684-1712 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76S05 74F10 74L10 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{L. Guo} and \textit{W. Chen}, Numer. Methods Partial Differ. Equations 38, No. 6, 1684--1712 (2022; Zbl 07779675) Full Text: DOI
Liu, Yi; Chen, Wenbin; Wang, Yanqiu A weak Galerkin mixed finite element method for second order elliptic equations on 2D curved domains. (English) Zbl 1498.65204 Commun. Comput. Phys. 32, No. 4, 1094-1128 (2022). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Commun. Comput. Phys. 32, No. 4, 1094--1128 (2022; Zbl 1498.65204) Full Text: DOI arXiv
Xu, Wei; Wang, Cheng; He, Mingyan; Chen, Wenbin; Han, Weimin; Huang, Ziping Numerical analysis of doubly-history dependent variational inequalities in contact mechanics. (English) Zbl 07525628 Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 24, 21 p. (2021). MSC: 47-XX 54-XX PDFBibTeX XMLCite \textit{W. Xu} et al., Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 24, 21 p. (2021; Zbl 07525628) Full Text: DOI
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
Duan, Chenghua; Chen, Wenbin; Liu, Chun; Yue, Xingye; Zhou, Shenggao Structure-preserving numerical methods for nonlinear Fokker-Planck equations with nonlocal interactions by an energetic variational approach. (English) Zbl 1457.65046 SIAM J. Sci. Comput. 43, No. 1, B82-B107 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M12 35K65 76S05 76M20 82C31 35A15 35Q84 35Q35 PDFBibTeX XMLCite \textit{C. Duan} et al., SIAM J. Sci. Comput. 43, No. 1, B82--B107 (2021; Zbl 1457.65046) Full Text: DOI arXiv
Wang, Shufen; Xu, Wei; Han, Weimin; Chen, Wenbin Numerical analysis of history-dependent variational-hemivariational inequalities. (English) Zbl 1482.65100 Sci. China, Math. 63, No. 11, 2207-2232 (2020). MSC: 65K15 65N30 65N15 74M15 PDFBibTeX XMLCite \textit{S. Wang} et al., Sci. China, Math. 63, No. 11, 2207--2232 (2020; Zbl 1482.65100) Full Text: DOI arXiv
Xu, Wei; Huang, Ziping; Han, Weimin; Chen, Wenbin; Wang, Cheng Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality. (English) Zbl 1463.65380 Comput. Appl. Math. 39, No. 4, Paper No. 265, 23 p. (2020). MSC: 65N30 65N15 74M10 74M15 74F15 65K15 74S05 35Q74 PDFBibTeX XMLCite \textit{W. Xu} et al., Comput. Appl. Math. 39, No. 4, Paper No. 265, 23 p. (2020; Zbl 1463.65380) Full Text: DOI
Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. Energy stable numerical schemes for ternary Cahn-Hilliard system. (English) Zbl 1447.65098 J. Sci. Comput. 84, No. 2, Paper No. 27, 36 p. (2020). MSC: 65M70 65M06 65L06 65M12 35K30 35K55 65K10 35R09 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Sci. Comput. 84, No. 2, Paper No. 27, 36 p. (2020; Zbl 1447.65098) Full Text: DOI
Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. (English) Zbl 1447.65097 Res. Math. Sci. 7, No. 3, Paper No. 13, 27 p. (2020). MSC: 65M70 65M06 65M15 65M12 65Z05 76A20 PDFBibTeX XMLCite \textit{W. Chen} et al., Res. Math. Sci. 7, No. 3, Paper No. 13, 27 p. (2020; Zbl 1447.65097) Full Text: DOI
Xu, Wei; Huang, Ziping; Han, Weimin; Chen, Wenbin; Wang, Cheng Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration. (English) Zbl 1442.65113 Comput. Math. Appl. 77, No. 10, 2596-2607 (2019). MSC: 65K15 49J40 74M15 PDFBibTeX XMLCite \textit{W. Xu} et al., Comput. Math. Appl. 77, No. 10, 2596--2607 (2019; Zbl 1442.65113) Full Text: DOI
Xu, Wei; Huang, Ziping; Han, Weimin; Chen, Wenbin; Wang, Cheng Numerical analysis of history-dependent variational-hemivariational inequalities with applications in contact mechanics. (English) Zbl 1458.74139 J. Comput. Appl. Math. 351, 364-377 (2019). MSC: 74S05 74M15 74H80 65M15 49J40 PDFBibTeX XMLCite \textit{W. Xu} et al., J. Comput. Appl. Math. 351, 364--377 (2019; Zbl 1458.74139) Full Text: DOI
Chen, Wenbin; Han, Daozhi; Wang, Xiaoming Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. (English) Zbl 1476.76089 Numer. Math. 137, No. 1, 229-255 (2017). MSC: 76T99 76S05 76M99 65M60 35Q35 65M12 76D07 PDFBibTeX XMLCite \textit{W. Chen} et al., Numer. Math. 137, No. 1, 229--255 (2017; Zbl 1476.76089) Full Text: DOI arXiv
Chen, Wenbin; Wang, Yanqiu Minimal degree \(H(\mathrm {curl})\) and \(H(\mathrm {div})\) conforming finite elements on polytopal meshes. (English) Zbl 1364.65244 Math. Comput. 86, No. 307, 2053-2087 (2017). MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Wang}, Math. Comput. 86, No. 307, 2053--2087 (2017; Zbl 1364.65244) Full Text: DOI arXiv
Liu, Yuan; Chen, Wenbin; Wang, Cheng; Wise, Steven M. Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1516.65091 Numer. Math. 135, No. 3, 679-709 (2017). MSC: 65M60 65M06 65N30 65K10 65M15 65M12 35K35 35K55 76D27 76S05 76M10 76M20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Numer. Math. 135, No. 3, 679--709 (2017; Zbl 1516.65091) Full Text: DOI
Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. (English) Zbl 1388.76127 Numer. Math. 134, No. 4, 857-879 (2016). MSC: 76M10 65M60 35Q35 65M55 76D07 76S05 PDFBibTeX XMLCite \textit{W. Chen} et al., Numer. Math. 134, No. 4, 857--879 (2016; Zbl 1388.76127) Full Text: DOI
Chen, Wenbin; Liu, Yuan; Wang, Cheng; Wise, Steven M. Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. (English) Zbl 1342.65174 Math. Comput. 85, No. 301, 2231-2257 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M12 35Q35 65M15 PDFBibTeX XMLCite \textit{W. Chen} et al., Math. Comput. 85, No. 301, 2231--2257 (2016; Zbl 1342.65174) Full Text: DOI Link
Wu, Xinming; Chen, Wenbin Error estimates of the finite element method for interior transmission problems. (English) Zbl 1457.65223 J. Sci. Comput. 57, No. 2, 331-348 (2013). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{X. Wu} and \textit{W. Chen}, J. Sci. Comput. 57, No. 2, 331--348 (2013; Zbl 1457.65223) Full Text: DOI