Yang, Junxiang Linear energy-stable method with correction technique for the Ohta-Kawasaki-Navier-Stokes model of incompressible diblock copolymer melt. (English) Zbl 07810033 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107835, 22 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65F20 65N55 65M12 65M15 76T06 76V05 76D05 76A05 76M20 82D60 35R10 35Q35 35Q82 PDFBibTeX XMLCite \textit{J. Yang}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107835, 22 p. (2024; Zbl 07810033) Full Text: DOI
Ge, Ang; Shen, Jinye; Vong, Seakweng Space-time methods based on isogeometric analysis for time-fractional Schrödinger equation. (English) Zbl 07784033 J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023). MSC: 65M60 65D07 65M12 65M22 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{A. Ge} et al., J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023; Zbl 07784033) Full Text: DOI
Xia, Qing; Liu, Yuehan; Kim, Junseok; Li, Yibao Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model. (English) Zbl 07715666 J. Comput. Appl. Math. 433, Article ID 115319, 22 p. (2023). MSC: 65Mxx 76Mxx 35Kxx PDFBibTeX XMLCite \textit{Q. Xia} et al., J. Comput. Appl. Math. 433, Article ID 115319, 22 p. (2023; Zbl 07715666) Full Text: DOI
Ashour, Mohammed; Valizadeh, Navid; Rabczuk, Timon Phase-field Navier-Stokes model for vesicle doublets hydrodynamics in incompressible fluid flow. (English) Zbl 07692972 Comput. Methods Appl. Mech. Eng. 412, Article ID 116063, 31 p. (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{M. Ashour} et al., Comput. Methods Appl. Mech. Eng. 412, Article ID 116063, 31 p. (2023; Zbl 07692972) Full Text: DOI
Zhu, Xiaopeng; Wu, Zhizhang; Huang, Zhongyi The direct method of lines for forward and inverse linear elasticity problems of composite materials in star-shaped domains. (English) Zbl 1524.65739 Numer. Math., Theory Methods Appl. 16, No. 1, 242-276 (2023). MSC: 65N21 65N40 74A40 74B05 74E30 65N15 65K10 74B10 35Q74 PDFBibTeX XMLCite \textit{X. Zhu} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 242--276 (2023; Zbl 1524.65739) Full Text: DOI
Bahramifar, Saeed; Mossaiby, Farshid; Haftbaradaran, Hamed A local meshless method for transient nonlinear problems: preliminary investigation and application to phase-field models. (English) Zbl 1524.65701 Comput. Math. Appl. 124, 163-187 (2022). MSC: 65M99 65M12 65M06 65H10 35J05 78A57 35A30 PDFBibTeX XMLCite \textit{S. Bahramifar} et al., Comput. Math. Appl. 124, 163--187 (2022; Zbl 1524.65701) Full Text: DOI
Balcells-Quintana, Oscar; Codony, David; Fernández-Méndez, Sonia C0-IPM with generalised periodicity and application to flexoelectricity-based 2D metamaterials. (English) Zbl 1496.65206 J. Sci. Comput. 92, No. 1, Paper No. 5, 29 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 74B10 74F15 74S05 35Q74 PDFBibTeX XMLCite \textit{O. Balcells-Quintana} et al., J. Sci. Comput. 92, No. 1, Paper No. 5, 29 p. (2022; Zbl 1496.65206) Full Text: DOI
Hu, Tianyi; Leng, Yu; Gomez, Hector A novel method to impose boundary conditions for higher-order partial differential equations. (English) Zbl 1507.35139 Comput. Methods Appl. Mech. Eng. 391, Article ID 114526, 19 p. (2022). MSC: 35Q30 35M30 76M10 65M60 PDFBibTeX XMLCite \textit{T. Hu} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114526, 19 p. (2022; Zbl 1507.35139) Full Text: DOI
Tang, Zhuochao; Fu, Zhuojia; Chen, Meng; Ling, Leevan A localized extrinsic collocation method for Turing pattern formations on surfaces. (English) Zbl 1524.35321 Appl. Math. Lett. 122, Article ID 107534, 7 p. (2021). MSC: 35K57 65M70 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{Z. Tang} et al., Appl. Math. Lett. 122, Article ID 107534, 7 p. (2021; Zbl 1524.35321) Full Text: DOI
Ren, Huilong; Zhuang, Xiaoying; Trung, Nguyen-Thoi; Rabczuk, Timon Nonlocal operator method for the Cahn-Hilliard phase field model. (English) Zbl 1459.35011 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021). MSC: 35A35 35K35 35K58 65M12 PDFBibTeX XMLCite \textit{H. Ren} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021; Zbl 1459.35011) Full Text: DOI
Łoś, Marcin; Behnoudfar, P.; Paszyński, M.; Calo, Victor M. Fast isogeometric solvers for hyperbolic wave propagation problems. (English) Zbl 1446.65072 Comput. Math. Appl. 80, No. 1, 109-120 (2020). MSC: 65M06 65D07 65F05 35L05 74B10 PDFBibTeX XMLCite \textit{M. Łoś} et al., Comput. Math. Appl. 80, No. 1, 109--120 (2020; Zbl 1446.65072) Full Text: DOI arXiv
Pan, Qing; Rabczuk, Timon; Xu, Gang; Chen, Chong Isogeometric analysis for surface PDEs with extended Loop subdivision. (English) Zbl 1453.65413 J. Comput. Phys. 398, Article ID 108892, 22 p. (2019). MSC: 65N30 65N15 35R01 PDFBibTeX XMLCite \textit{Q. Pan} et al., J. Comput. Phys. 398, Article ID 108892, 22 p. (2019; Zbl 1453.65413) Full Text: DOI arXiv
Valizadeh, Navid; Rabczuk, Timon Isogeometric analysis for phase-field models of geometric PDEs and high-order PDEs on stationary and evolving surfaces. (English) Zbl 1441.65023 Comput. Methods Appl. Mech. Eng. 351, 599-642 (2019). MSC: 65D17 65M60 35K55 65D07 PDFBibTeX XMLCite \textit{N. Valizadeh} and \textit{T. Rabczuk}, Comput. Methods Appl. Mech. Eng. 351, 599--642 (2019; Zbl 1441.65023) Full Text: DOI
Shin, Jaemin; Choi, Yongho; Kim, Junseok The Cahn-Hilliard equation with generalized mobilities in complex geometries. (English) Zbl 1435.35339 Math. Probl. Eng. 2019, Article ID 1710270, 10 p. (2019). MSC: 35Q53 82M20 82C26 PDFBibTeX XMLCite \textit{J. Shin} et al., Math. Probl. Eng. 2019, Article ID 1710270, 10 p. (2019; Zbl 1435.35339) Full Text: DOI
Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis Mesh grading in isogeometric analysis. (English) Zbl 1443.65356 Comput. Math. Appl. 70, No. 7, 1685-1700 (2015). MSC: 65N30 65D07 65N12 65N50 35J25 PDFBibTeX XMLCite \textit{U. Langer} et al., Comput. Math. Appl. 70, No. 7, 1685--1700 (2015; Zbl 1443.65356) Full Text: DOI arXiv