Bailo, Rafael; Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P. Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation. (English) Zbl 07783558 Commun. Comput. Phys. 34, No. 3, 713-748 (2023). MSC: 65M08 35Q92 35Q35 35Q70 PDFBibTeX XMLCite \textit{R. Bailo} et al., Commun. Comput. Phys. 34, No. 3, 713--748 (2023; Zbl 07783558) Full Text: DOI arXiv
Bergermann, Kai; Deibel, Carsten; Herzog, Roland; Mackenzie, Roderick C. I.; Pietschmann, Jan-Frederik; Stoll, Martin Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors. (English) Zbl 1519.65037 Commun. Comput. Phys. 34, No. 1, 1-17 (2023). MSC: 65M60 65F08 65F10 82D37 PDFBibTeX XMLCite \textit{K. Bergermann} et al., Commun. Comput. Phys. 34, No. 1, 1--17 (2023; Zbl 1519.65037) Full Text: DOI arXiv
Wang, Weiwen; Xu, Chuanju A stable arbitrarily high order time-stepping method for thermal phase change problems. (English) Zbl 1509.65065 Commun. Comput. Phys. 33, No. 2, 477-510 (2023). MSC: 65L06 35Q79 65M12 65M70 80A22 PDFBibTeX XMLCite \textit{W. Wang} and \textit{C. Xu}, Commun. Comput. Phys. 33, No. 2, 477--510 (2023; Zbl 1509.65065) Full Text: DOI
Zhou, Li; Li, Yunzhang An LDG method for stochastic Cahn-Hilliard type equation driven by general multiplicative noise involving second-order derivative. (English) Zbl 1482.65016 Commun. Comput. Phys. 31, No. 2, 516-547 (2022). MSC: 65C30 60H35 PDFBibTeX XMLCite \textit{L. Zhou} and \textit{Y. Li}, Commun. Comput. Phys. 31, No. 2, 516--547 (2022; Zbl 1482.65016) Full Text: DOI
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, Xi; Chai, Zhenhua; Shi, Baochang Phase-field-based axisymmetric lattice Boltzmann method for two-phase electro-hydrodynamic flows. (English) Zbl 1485.76067 Commun. Comput. Phys. 30, No. 5, 1346-1369 (2021). MSC: 76M28 76W05 76T10 PDFBibTeX XMLCite \textit{X. Liu} et al., Commun. Comput. Phys. 30, No. 5, 1346--1369 (2021; Zbl 1485.76067) 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
El Ouafa, Mohamed; Vincent, Stéphane; Le Chenadec, Vincent Navier-Stokes solvers for incompressible single- and two-phase flows. (English) Zbl 1480.76078 Commun. Comput. Phys. 29, No. 4, 1213-1245 (2021). MSC: 76M12 76D05 76T06 PDFBibTeX XMLCite \textit{M. El Ouafa} et al., Commun. Comput. Phys. 29, No. 4, 1213--1245 (2021; Zbl 1480.76078) Full Text: DOI
Fu, Jing; Gan, Zecheng Harmonic surface mapping algorithm for electrostatic potentials in an atomistic/continuum hybrid model for electrolyte solutions. (English) Zbl 1477.31021 Commun. Comput. Phys. 29, No. 2, 571-587 (2021). MSC: 31B15 65M80 78A30 PDFBibTeX XMLCite \textit{J. Fu} and \textit{Z. Gan}, Commun. Comput. Phys. 29, No. 2, 571--587 (2021; Zbl 1477.31021) Full Text: DOI arXiv
Liu, Bangde; Lin, Guang High-dimensional nonlinear multi-fidelity model with gradient-free active subspace method. (English) Zbl 1477.62094 Commun. Comput. Phys. 28, No. 5, 1937-1969 (2020). MSC: 62G08 60G15 68T05 PDFBibTeX XMLCite \textit{B. Liu} and \textit{G. Lin}, Commun. Comput. Phys. 28, No. 5, 1937--1969 (2020; Zbl 1477.62094) Full Text: DOI
Jeong, Darae; Li, Yibao; Lee, Chaeyoung; Yang, Junxiang; Kim, Junseok A conservative numerical method for the Cahn-Hilliard equation with generalized mobilities on curved surfaces in three-dimensional space. (English) Zbl 1486.65107 Commun. Comput. Phys. 27, No. 2, 412-430 (2020). MSC: 65M06 65M22 35K55 PDFBibTeX XMLCite \textit{D. Jeong} et al., Commun. Comput. Phys. 27, No. 2, 412--430 (2020; Zbl 1486.65107) Full Text: DOI
van den Bos, Laurent; Sanderse, Benjamin; Bierbooms, Wim; van Bussel, Gerard Bayesian model calibration with interpolating polynomials based on adaptively weighted Leja nodes. (English) Zbl 1473.62096 Commun. Comput. Phys. 27, No. 1, 33-69 (2020). MSC: 62F15 PDFBibTeX XMLCite \textit{L. van den Bos} et al., Commun. Comput. Phys. 27, No. 1, 33--69 (2020; Zbl 1473.62096) Full Text: DOI arXiv
Li, Xiao; Ju, Lili; Meng, Xucheng Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation. (English) Zbl 1483.65141 Commun. Comput. Phys. 26, No. 5, 1510-1529 (2019). MSC: 65M06 65N06 65L05 65L06 35K35 35K59 65M12 65M15 PDFBibTeX XMLCite \textit{X. Li} et al., Commun. Comput. Phys. 26, No. 5, 1510--1529 (2019; Zbl 1483.65141) Full Text: DOI
Church, Jon Matteo; Guo, Zhenlin; Jimack, Peter K.; Madzvamuse, Anotida; Promislow, Keith; Wetton, Brian; Wise, Steven M.; Yang, Fengwei High accuracy benchmark problems for Allen-Cahn and Cahn-Hilliard dynamics. (English) Zbl 1473.65099 Commun. Comput. Phys. 26, No. 4, 947-972 (2019). MSC: 65M06 65M70 PDFBibTeX XMLCite \textit{J. M. Church} et al., Commun. Comput. Phys. 26, No. 4, 947--972 (2019; Zbl 1473.65099) Full Text: DOI
Yang, Xiaofeng; Zhao, Jia On linear and unconditionally energy stable algorithms for variable mobility Cahn-Hilliard type equation with logarithmic Flory-Huggins potential. (English) Zbl 1473.65218 Commun. Comput. Phys. 25, No. 3, 703-728 (2019). MSC: 65M60 65M12 65M15 65M70 PDFBibTeX XMLCite \textit{X. Yang} and \textit{J. Zhao}, Commun. Comput. Phys. 25, No. 3, 703--728 (2019; Zbl 1473.65218) Full Text: DOI arXiv
Xu, Shixin; Alber, Mark; Xu, Zhiliang Three-phase model of visco-elastic incompressible fluid flow and its computational implementation. (English) Zbl 1476.92017 Commun. Comput. Phys. 25, No. 2, 586-624 (2019). MSC: 92C35 76D05 35Q35 35Q92 PDFBibTeX XMLCite \textit{S. Xu} et al., Commun. Comput. Phys. 25, No. 2, 586--624 (2019; Zbl 1476.92017) Full Text: DOI
Diegel, Amanda E.; Walker, Shawn W. A finite element method for a phase field model of nematic liquid crystal droplets. (English) Zbl 1473.65189 Commun. Comput. Phys. 25, No. 1, 155-188 (2019). MSC: 65M60 65M12 35Q99 PDFBibTeX XMLCite \textit{A. E. Diegel} and \textit{S. W. Walker}, Commun. Comput. Phys. 25, No. 1, 155--188 (2019; Zbl 1473.65189) Full Text: DOI arXiv
Shen, Jie; Xu, Jie Stabilized predictor-corrector schemes for gradient flows with strong anisotropic free energy. (English) Zbl 1475.82027 Commun. Comput. Phys. 24, No. 3, 635-654 (2018). MSC: 82M20 65M06 65M12 PDFBibTeX XMLCite \textit{J. Shen} and \textit{J. Xu}, Commun. Comput. Phys. 24, No. 3, 635--654 (2018; Zbl 1475.82027) Full Text: DOI
Lou, Qin; Yang, Mo; Xu, Hongtao Wetting boundary condition in an improved lattice Boltzmann method for nonideal gases. (English) Zbl 1474.76055 Commun. Comput. Phys. 23, No. 4, 1116-1130 (2018). MSC: 76M28 76N15 76T10 76D45 82C40 PDFBibTeX XMLCite \textit{Q. Lou} et al., Commun. Comput. Phys. 23, No. 4, 1116--1130 (2018; Zbl 1474.76055) Full Text: DOI
Bosch, Jessica; Kahle, Christian; Stoll, Martin Preconditioning of a coupled Cahn-Hilliard Navier-Stokes system. (English) Zbl 1488.65065 Commun. Comput. Phys. 23, No. 2, 603-628 (2018). MSC: 65F10 65F08 65F50 65M60 76D05 35Q35 PDFBibTeX XMLCite \textit{J. Bosch} et al., Commun. Comput. Phys. 23, No. 2, 603--628 (2018; Zbl 1488.65065) Full Text: DOI arXiv
Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M. A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. (English) Zbl 1488.65367 Commun. Comput. Phys. 23, No. 2, 572-602 (2018). MSC: 65M12 65M60 35K35 35K55 PDFBibTeX XMLCite \textit{Y. Yan} et al., Commun. Comput. Phys. 23, No. 2, 572--602 (2018; Zbl 1488.65367) Full Text: DOI
Zhang, Yujie; Ye, Wenjing A flux-corrected phase-field method for surface diffusion. (English) Zbl 1488.82007 Commun. Comput. Phys. 22, No. 2, 422-440 (2017). MSC: 82C24 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. Ye}, Commun. Comput. Phys. 22, No. 2, 422--440 (2017; Zbl 1488.82007) Full Text: DOI
Deng, Yongbo; Liu, Zhenyu; Wu, Yihui Topology optimization of capillary, two-phase flow problems. (English) Zbl 1488.76041 Commun. Comput. Phys. 22, No. 5, 1413-1438 (2017). MSC: 76D55 76D45 76T10 65K10 65M60 PDFBibTeX XMLCite \textit{Y. Deng} et al., Commun. Comput. Phys. 22, No. 5, 1413--1438 (2017; Zbl 1488.76041) Full Text: DOI
Ma, Lina; Chen, Rui; Yang, Xiaofeng; Zhang, Hui Numerical approximations for Allen-Cahn type phase field model of two-phase incompressible fluids with moving contact lines. (English) Zbl 1488.65266 Commun. Comput. Phys. 21, No. 3, 867-889 (2017). MSC: 65M06 65M12 76D05 76T06 65N06 PDFBibTeX XMLCite \textit{L. Ma} et al., Commun. Comput. Phys. 21, No. 3, 867--889 (2017; Zbl 1488.65266) Full Text: DOI