Zhao, Yong-Liang; Li, Meng Full-rank and low-rank splitting methods for the Swift-Hohenberg equation. (English) Zbl 07759116 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107532, 13 p. (2023). MSC: 65-XX 35K35 35K58 PDFBibTeX XMLCite \textit{Y.-L. Zhao} and \textit{M. Li}, Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107532, 13 p. (2023; Zbl 07759116) Full Text: DOI
Lee, Seunggyu; Yoon, Sungha; Kim, Junseok Effective time step analysis of convex splitting schemes for the Swift-Hohenberg equation. (English) Zbl 1502.65068 J. Comput. Appl. Math. 419, Article ID 114713, 14 p. (2023). MSC: 65M06 65M12 76R10 35Q35 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Comput. Appl. Math. 419, Article ID 114713, 14 p. (2023; Zbl 1502.65068) Full Text: DOI
Hashemian, Ali; Garcia, Daniel; Pardo, David; Calo, Victor M. Refined isogeometric analysis of quadratic eigenvalue problems. (English) Zbl 1507.65227 Comput. Methods Appl. Mech. Eng. 399, Article ID 115327, 27 p. (2022). MSC: 65N25 PDFBibTeX XMLCite \textit{A. Hashemian} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115327, 27 p. (2022; Zbl 1507.65227) Full Text: DOI arXiv
Dehghan, Mehdi; Gharibi, Zeinab; Eslahchi, Mohammad Reza Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation. (English) Zbl 1492.65263 Appl. Numer. Math. 178, 304-328 (2022). MSC: 65M60 65M06 65N30 76R10 35B36 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Numer. Math. 178, 304--328 (2022; Zbl 1492.65263) Full Text: DOI
Sun, Hong; Zhao, Xuan; Cao, Haiyan; Yang, Ran; Zhang, Ming Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation. (English) Zbl 07526833 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106412, 15 p. (2022). MSC: 65Mxx 35Kxx 35Bxx PDFBibTeX XMLCite \textit{H. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106412, 15 p. (2022; Zbl 07526833) Full Text: DOI
Liu, Hailiang; Yin, Peimeng High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation. (English) Zbl 1491.65145 J. Comput. Appl. Math. 407, Article ID 114015, 16 p. (2022). MSC: 65N30 65L06 65N12 35K35 PDFBibTeX XMLCite \textit{H. Liu} and \textit{P. Yin}, J. Comput. Appl. Math. 407, Article ID 114015, 16 p. (2022; Zbl 1491.65145) Full Text: DOI
Yang, Junxiang; Kim, Junseok Numerical simulation and analysis of the Swift-Hohenberg equation by the stabilized Lagrange multiplier approach. (English) Zbl 1509.65078 Comput. Appl. Math. 41, No. 1, Paper No. 20, 23 p. (2022). MSC: 65M06 65N06 65N55 65M12 65M15 65N22 35R09 37M05 35Q35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Comput. Appl. Math. 41, No. 1, Paper No. 20, 23 p. (2022; Zbl 1509.65078) Full Text: DOI
Lee, Hyun Geun A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity. (English) Zbl 1524.65664 Appl. Math. Lett. 123, Article ID 107579, 9 p. (2022). MSC: 65M70 65M12 35Q35 65M06 65M22 PDFBibTeX XMLCite \textit{H. G. Lee}, Appl. Math. Lett. 123, Article ID 107579, 9 p. (2022; Zbl 1524.65664) Full Text: DOI
Duda, Fernando P.; Sarmiento, Adel F.; Fried, Eliot Coupled diffusion and phase transition: phase fields, constraints, and the Cahn-Hilliard equation. (English) Zbl 1523.74087 Meccanica 56, No. 7, 1707-1725 (2021). MSC: 74N25 74N15 PDFBibTeX XMLCite \textit{F. P. Duda} et al., Meccanica 56, No. 7, 1707--1725 (2021; Zbl 1523.74087) Full Text: DOI
Yang, Junxiang; Kim, Junseok Linear and energy stable schemes for the Swift-Hohenberg equation with quadratic-cubic nonlinearity based on a modified scalar auxiliary variable approach. (English) Zbl 07443407 J. Eng. Math. 128, Paper No. 21, 16 p. (2021). MSC: 65-XX 35-XX 39-XX 65-XX PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, J. Eng. Math. 128, Paper No. 21, 16 p. (2021; Zbl 07443407) Full Text: DOI
Yang, Junxiang; Tan, Zhijun; Kim, Junseok High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model. (English) Zbl 1524.65426 Comput. Math. Appl. 102, 160-174 (2021). MSC: 65M06 65M12 74N05 82D25 65M70 35Q35 80A22 65N35 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 102, 160--174 (2021; Zbl 1524.65426) Full Text: DOI
Hashemian, Ali; Pardo, David; Calo, Victor M. Refined isogeometric analysis for generalized Hermitian eigenproblems. (English) Zbl 1506.65197 Comput. Methods Appl. Mech. Eng. 381, Article ID 113823, 25 p. (2021). MSC: 65N25 15A18 65D07 PDFBibTeX XMLCite \textit{A. Hashemian} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113823, 25 p. (2021; Zbl 1506.65197) Full Text: DOI arXiv Link
Yang, Xiaofeng On a novel fully decoupled, second-order accurate energy stable numerical scheme for a binary fluid-surfactant phase-field model. (English) Zbl 1478.65100 SIAM J. Sci. Comput. 43, No. 2, B479-B507 (2021). Reviewer: Xiaofei Zhao (Wuhan) MSC: 65M70 65N12 35K57 35A24 76D05 35Q30 PDFBibTeX XMLCite \textit{X. Yang}, SIAM J. Sci. Comput. 43, No. 2, B479--B507 (2021; Zbl 1478.65100) Full Text: DOI
Lee, Hyun Geun A new conservative Swift-Hohenberg equation and its mass conservative method. (English) Zbl 1439.35217 J. Comput. Appl. Math. 375, Article ID 112815, 10 p. (2020). MSC: 35K35 65M70 35J35 35K25 82C10 82M22 PDFBibTeX XMLCite \textit{H. G. Lee}, J. Comput. Appl. Math. 375, Article ID 112815, 10 p. (2020; Zbl 1439.35217) Full Text: DOI
Lee, Hyun Geun An energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity. (English) Zbl 1440.65150 Comput. Methods Appl. Mech. Eng. 343, 40-51 (2019). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{H. G. Lee}, Comput. Methods Appl. Mech. Eng. 343, 40--51 (2019; Zbl 1440.65150) Full Text: DOI
Liu, Hailiang; Yin, Peimeng Unconditionally energy stable DG schemes for the Swift-Hohenberg equation. (English) Zbl 1427.65372 J. Sci. Comput. 81, No. 2, 789-819 (2019). MSC: 65N30 65N12 35K35 82D30 82M10 65M60 35B36 35Q35 65D32 PDFBibTeX XMLCite \textit{H. Liu} and \textit{P. Yin}, J. Sci. Comput. 81, No. 2, 789--819 (2019; Zbl 1427.65372) Full Text: DOI arXiv
Vignal, P.; Collier, N.; Dalcin, L.; Brown, D. L.; Calo, V. M. An energy-stable time-integrator for phase-field models. (English) Zbl 1439.74471 Comput. Methods Appl. Mech. Eng. 316, 1179-1214 (2017). MSC: 74S05 80M10 65M60 65D07 74N99 80A22 PDFBibTeX XMLCite \textit{P. Vignal} et al., Comput. Methods Appl. Mech. Eng. 316, 1179--1214 (2017; Zbl 1439.74471) Full Text: DOI Link