Zhang, Danni; Guo, Ruihan Optimal error estimates of the semi-discrete local discontinuous Galerkin method and exponential time differencing schemes for the thin film epitaxy problem without slope selection. (English) Zbl 1524.65627 Adv. Appl. Math. Mech. 15, No. 3, 545-567 (2023). MSC: 65M60 35L75 65M06 65N30 65M15 76A20 35R09 35Q35 PDFBibTeX XMLCite \textit{D. Zhang} and \textit{R. Guo}, Adv. Appl. Math. Mech. 15, No. 3, 545--567 (2023; Zbl 1524.65627) Full Text: DOI
Guo, Ruihan; Xu, Yan High order numerical simulations for the binary fluid-surfactant system using the discontinuous Galerkin and spectral deferred correction methods. (English) Zbl 1435.65158 SIAM J. Sci. Comput. 42, No. 2, B353-B378 (2020). MSC: 65M60 65M70 35L75 35G25 76D45 65M55 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, SIAM J. Sci. Comput. 42, No. 2, B353--B378 (2020; Zbl 1435.65158) Full Text: DOI
Guo, Ruihan; Xu, Yan Efficient, accurate and energy stable discontinuous Galerkin methods for phase field models of two-phase incompressible flows. (English) Zbl 1473.65194 Commun. Comput. Phys. 26, No. 4, 1224-1248 (2019). MSC: 65M60 35Q35 35Q30 35G25 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, Commun. Comput. Phys. 26, No. 4, 1224--1248 (2019; Zbl 1473.65194) Full Text: DOI
Guo, Ruihan; Xu, Yan Semi-implicit spectral deferred correction method based on the invariant energy quadratization approach for phase field problems. (English) Zbl 1473.65193 Commun. Comput. Phys. 26, No. 1, 87-113 (2019). MSC: 65M60 35L75 35G25 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, Commun. Comput. Phys. 26, No. 1, 87--113 (2019; Zbl 1473.65193) Full Text: DOI
Guo, Ruihan; Xu, Yan A high order adaptive time-stepping strategy and local discontinuous Galerkin method for the modified phase field crystal equation. (English) Zbl 1488.65420 Commun. Comput. Phys. 24, No. 1, 123-151 (2018). MSC: 65M60 35L75 35G25 65M55 65M50 65M12 65M22 35Q92 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, Commun. Comput. Phys. 24, No. 1, 123--151 (2018; Zbl 1488.65420) Full Text: DOI
Guo, Ruihan; Filbet, Francis A \(p\)-adaptive local discontinuous Galerkin level set method for Willmore flow. (English) Zbl 1397.65187 J. Sci. Comput. 76, No. 2, 1148-1167 (2018). MSC: 65M60 65L06 53A05 35Q35 76A05 PDFBibTeX XMLCite \textit{R. Guo} and \textit{F. Filbet}, J. Sci. Comput. 76, No. 2, 1148--1167 (2018; Zbl 1397.65187) Full Text: DOI arXiv
Guo, Ruihan; Xia, Yinhua; Xu, Yan Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. (English) Zbl 1415.65153 J. Comput. Phys. 338, 269-284 (2017). MSC: 65L05 65L04 65M60 76R50 PDFBibTeX XMLCite \textit{R. Guo} et al., J. Comput. Phys. 338, 269--284 (2017; Zbl 1415.65153) Full Text: DOI
Guo, Ruihan; Filbet, Francis; Xu, Yan Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. (English) Zbl 1352.65301 J. Sci. Comput. 68, No. 3, 1029-1054 (2016). MSC: 65M20 65M60 65L06 65M55 35Q35 PDFBibTeX XMLCite \textit{R. Guo} et al., J. Sci. Comput. 68, No. 3, 1029--1054 (2016; Zbl 1352.65301) Full Text: DOI HAL
Guo, Ruihan; Xu, Yan Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation. (English) Zbl 1330.65149 SIAM J. Sci. Comput. 38, No. 1, A105-A127 (2016). MSC: 65M60 82D25 35Q82 65M20 65M12 65M55 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, SIAM J. Sci. Comput. 38, No. 1, A105--A127 (2016; Zbl 1330.65149) Full Text: DOI
Guo, Ruihan; Xu, Yan An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system. (English) Zbl 1349.65452 J. Comput. Phys. 298, 387-405 (2015). MSC: 65M60 65M12 65M55 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, J. Comput. Phys. 298, 387--405 (2015; Zbl 1349.65452) Full Text: DOI
Guo, Ruihan; Xu, Yan; Xu, Zhengfu Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation. (English) Zbl 1319.65096 J. Sci. Comput. 63, No. 3, 913-937 (2015). MSC: 65M60 35Q53 65M55 65M12 PDFBibTeX XMLCite \textit{R. Guo} et al., J. Sci. Comput. 63, No. 3, 913--937 (2015; Zbl 1319.65096) Full Text: DOI
Guo, Ruihan; Xia, Yinhua; Xu, Yan An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1349.76211 J. Comput. Phys. 264, 23-40 (2014). MSC: 76M10 65M60 65M12 76D27 PDFBibTeX XMLCite \textit{R. Guo} et al., J. Comput. Phys. 264, 23--40 (2014; Zbl 1349.76211) Full Text: DOI