Yao, Changhui; Zhang, Fengdan; Wang, Cheng A scalar auxiliary variable (SAV) finite element numerical scheme for the Cahn-Hilliard-Hele-Shaw system with dynamic boundary conditions. (English) Zbl 07806683 J. Comput. Math. 42, No. 2, 544-569 (2024). MSC: 65N06 65B99 PDFBibTeX XMLCite \textit{C. Yao} et al., J. Comput. Math. 42, No. 2, 544--569 (2024; Zbl 07806683) Full Text: DOI
Li, Xiao; Qiao, Zhonghua A second-order, linear, \(L^\infty\)-convergent, and energy stable scheme for the phase field crystal equation. (English) Zbl 07805927 SIAM J. Sci. Comput. 46, No. 1, A429-A451 (2024). MSC: 65N06 65J10 65M12 65M15 74N05 74E15 80A22 65T50 65L06 PDFBibTeX XMLCite \textit{X. Li} and \textit{Z. Qiao}, SIAM J. Sci. Comput. 46, No. 1, A429--A451 (2024; Zbl 07805927) Full Text: DOI
Guo, Ruihan; Xu, Yan Semi-implicit spectral deferred correction methods based on second-order time integration schemes for nonlinear PDEs. (English) Zbl 07803024 J. Comput. Math. 42, No. 1, 111-133 (2024). MSC: 65M60 35L75 35G25 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, J. Comput. Math. 42, No. 1, 111--133 (2024; Zbl 07803024) Full Text: DOI
Zhang, Guo-Dong; Yang, Xiaofeng Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen-Cahn equation. (English) Zbl 1527.65100 Math. Models Methods Appl. Sci. 33, No. 12, 2463-2505 (2023). MSC: 65M60 35Q35 65M12 65M15 PDFBibTeX XMLCite \textit{G.-D. Zhang} and \textit{X. Yang}, Math. Models Methods Appl. Sci. 33, No. 12, 2463--2505 (2023; Zbl 1527.65100) Full Text: DOI
Yang, Junxiang; Tan, Zhijun; Wang, Jian; Kim, Junseok Modified diffuse interface fluid model and its consistent energy-stable computation in arbitrary domains. (English) Zbl 07696979 J. Comput. Phys. 488, Article ID 112216, 33 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{J. Yang} et al., J. Comput. Phys. 488, Article ID 112216, 33 p. (2023; Zbl 07696979) Full Text: DOI
Wang, Shuman; Yang, Junxiang; Pan, Xiaomin Highly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid system. (English) Zbl 07692017 Comput. Math. Appl. 139, 68-90 (2023). MSC: 65M06 65M12 76D05 35Q35 76M20 PDFBibTeX XMLCite \textit{S. Wang} et al., Comput. Math. Appl. 139, 68--90 (2023; Zbl 07692017) Full Text: DOI
Lan, Rihui; Li, Jingwei; Cai, Yongyong; Ju, Lili Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation. (English) Zbl 07620375 J. Comput. Phys. 472, Article ID 111695, 22 p. (2023). MSC: 65Mxx 65Lxx 35Kxx PDFBibTeX XMLCite \textit{R. Lan} et al., J. Comput. Phys. 472, Article ID 111695, 22 p. (2023; Zbl 07620375) Full Text: DOI
Chen, Chuanjun; Yang, Xiaofeng Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity. (English) Zbl 1504.65190 Sci. China, Math. 65, No. 12, 2631-2656 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M60 65M70 65L05 65M06 65M12 35J05 42C10 76D05 35Q35 PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Yang}, Sci. China, Math. 65, No. 12, 2631--2656 (2022; Zbl 1504.65190) Full Text: DOI
Chen, Chuanjun; Yang, Xiaofeng A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-nematic model for two-phase complex fluids confined in the Hele-Shaw cell. (English) Zbl 07518104 J. Comput. Phys. 456, Article ID 111026, 24 p. (2022). MSC: 65Mxx 76Axx 76Mxx PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Yang}, J. Comput. Phys. 456, Article ID 111026, 24 p. (2022; Zbl 07518104) Full Text: DOI
Chen, Lizhen; Zhang, Zengyan; Zhao, Jia Numerical approximations of phase field models using a general class of linear time-integration schemes. (English) Zbl 1482.65139 Commun. Comput. Phys. 30, No. 5, 1290-1322 (2021). MSC: 65M06 65M12 65M70 PDFBibTeX XMLCite \textit{L. Chen} et al., Commun. Comput. Phys. 30, No. 5, 1290--1322 (2021; Zbl 1482.65139) Full Text: DOI
Wang, Danxia; Wang, Xingxing; Jia, Hongen A second-order energy stable BDF numerical scheme for the viscous Cahn-Hilliard equation with logarithmic Flory-Huggins potential. (English) Zbl 1488.65463 Adv. Appl. Math. Mech. 13, No. 4, 867-891 (2021). MSC: 65M60 65M06 65N30 65M15 35Q35 PDFBibTeX XMLCite \textit{D. Wang} et al., Adv. Appl. Math. Mech. 13, No. 4, 867--891 (2021; Zbl 1488.65463) Full Text: DOI
Yang, Junxiang; Kim, Junseok Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach. (English) Zbl 1497.65157 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105923, 24 p. (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M55 76M99 35Q35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105923, 24 p. (2021; Zbl 1497.65157) Full Text: DOI
Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. (English) Zbl 1476.65178 J. Sci. Comput. 87, No. 3, Paper No. 98, 32 p. (2021). MSC: 65M06 65N06 35B50 65M12 35K55 65R20 PDFBibTeX XMLCite \textit{J. Li} et al., J. Sci. Comput. 87, No. 3, Paper No. 98, 32 p. (2021; Zbl 1476.65178) Full Text: DOI