Yang, Xiaofeng; He, Xiaoming Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure. (English) Zbl 07568550 J. Comput. Phys. 467, Article ID 111448, 24 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{X. Yang} and \textit{X. He}, J. Comput. Phys. 467, Article ID 111448, 24 p. (2022; Zbl 07568550) Full Text: DOI OpenURL
Tan, Zhijun; Wu, Jingwen; Yang, Junxiang Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes. (English) Zbl 07568547 J. Comput. Phys. 467, Article ID 111444, 26 p. (2022). MSC: 65Mxx 76Mxx 35Kxx PDF BibTeX XML Cite \textit{Z. Tan} et al., J. Comput. Phys. 467, Article ID 111444, 26 p. (2022; Zbl 07568547) Full Text: DOI OpenURL
Di, Yana; Wei, Yifan; Zhang, Jiwei; Zhao, Chengchao Sharp error estimate of an implicit BDF2 scheme with variable time steps for the phase field crystal model. (English) Zbl 07568385 J. Sci. Comput. 92, No. 2, Paper No. 65, 21 p. (2022). MSC: 35Q99 65M06 65M12 74A50 PDF BibTeX XML Cite \textit{Y. Di} et al., J. Sci. Comput. 92, No. 2, Paper No. 65, 21 p. (2022; Zbl 07568385) Full Text: DOI OpenURL
Zhang, Zijian; Qiu, Yisong; Hu, Zhiqiang; Ye, Hongfei; Zhang, Hongwu; Zheng, Yonggang Explicit phase-field total Lagrangian material point method for the dynamic fracture of hyperelastic materials. (English) Zbl 07566988 Comput. Methods Appl. Mech. Eng. 398, Article ID 115234, 23 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{Z. Zhang} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115234, 23 p. (2022; Zbl 07566988) Full Text: DOI OpenURL
Li, Futuan; Yang, Jiang A provably efficient monotonic-decreasing algorithm for shape optimization in Stokes flows by phase-field approaches. (English) Zbl 07566976 Comput. Methods Appl. Mech. Eng. 398, Article ID 115195, 24 p. (2022). MSC: 76-XX 81-XX PDF BibTeX XML Cite \textit{F. Li} and \textit{J. Yang}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115195, 24 p. (2022; Zbl 07566976) Full Text: DOI OpenURL
Rahimi, Mohammad Naqib; Moutsanidis, Georgios A smoothed particle hydrodynamics approach for phase field modeling of brittle fracture. (English) Zbl 07566974 Comput. Methods Appl. Mech. Eng. 398, Article ID 115191, 33 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{M. N. Rahimi} and \textit{G. Moutsanidis}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115191, 33 p. (2022; Zbl 07566974) Full Text: DOI OpenURL
Schröder, J.; Pise, M.; Brands, D.; Gebuhr, G.; Anders, S. Phase-field modeling of fracture in high performance concrete during low-cycle fatigue: numerical calibration and experimental validation. (English) Zbl 07566969 Comput. Methods Appl. Mech. Eng. 398, Article ID 115181, 18 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{J. Schröder} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115181, 18 p. (2022; Zbl 07566969) Full Text: DOI OpenURL
Almi, Stefano; Stefanelli, Ulisse Topology optimization for quasistatic elastoplasticity. (English) Zbl 07565646 ESAIM, Control Optim. Calc. Var. 28, Paper No. 47, 40 p. (2022). MSC: 74P15 74C05 74H20 35Q74 PDF BibTeX XML Cite \textit{S. Almi} and \textit{U. Stefanelli}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 47, 40 p. (2022; Zbl 07565646) Full Text: DOI OpenURL
Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. (English) Zbl 07563204 IMA J. Numer. Anal. 42, No. 3, 2621-2655 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{W. Chen} et al., IMA J. Numer. Anal. 42, No. 3, 2621--2655 (2022; Zbl 07563204) Full Text: DOI OpenURL
Werner, Philipp; Burger, Martin; Frank, Florian; Garcke, Harald A diffuse interface model for cell blebbing including membrane-cortex coupling with linker dynamics. (English) Zbl 07562627 SIAM J. Appl. Math. 82, No. 3, 1091-1112 (2022). MSC: 92C10 65M60 35E15 PDF BibTeX XML Cite \textit{P. Werner} et al., SIAM J. Appl. Math. 82, No. 3, 1091--1112 (2022; Zbl 07562627) Full Text: DOI OpenURL
Yu, Qian; Xia, Qing; Li, Yibao A phase field-based systematic multiscale topology optimization method for porous structures design. (English) Zbl 07561066 J. Comput. Phys. 466, Article ID 111383, 21 p. (2022). MSC: 74Pxx 74Exx 74Sxx PDF BibTeX XML Cite \textit{Q. Yu} et al., J. Comput. Phys. 466, Article ID 111383, 21 p. (2022; Zbl 07561066) Full Text: DOI OpenURL
Kumar, Pavan Kumar Asur Vijaya; Dean, Aamir; Reinoso, Jose; Paggi, Marco Nonlinear thermo-elastic phase-field fracture of thin-walled structures relying on solid shell concepts. (English) Zbl 07560353 Comput. Methods Appl. Mech. Eng. 396, Article ID 115096, 23 p. (2022). MSC: 74-XX 82-XX PDF BibTeX XML Cite \textit{P. K. A. V. Kumar} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115096, 23 p. (2022; Zbl 07560353) Full Text: DOI OpenURL
Ulloa, Jacinto; Noii, Nima; Alessi, Roberto; Aldakheel, Fadi; Degrande, Geert; François, Stijn Variational modeling of hydromechanical fracture in saturated porous media: a micromechanics-based phase-field approach. (English) Zbl 07560350 Comput. Methods Appl. Mech. Eng. 396, Article ID 115084, 34 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{J. Ulloa} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115084, 34 p. (2022; Zbl 07560350) Full Text: DOI OpenURL
Huang, Yu-jie; Yang, Zhen-jun; Zhang, Hui; Natarajan, Sundararajan A phase-field cohesive zone model integrated with cell-based smoothed finite element method for quasi-brittle fracture simulations of concrete at mesoscale. (English) Zbl 07560348 Comput. Methods Appl. Mech. Eng. 396, Article ID 115074, 33 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{Y.-j. Huang} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115074, 33 p. (2022; Zbl 07560348) Full Text: DOI OpenURL
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities. (English) Zbl 07556763 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 193-228 (2022). MSC: 35Q92 35R11 35K51 PDF BibTeX XML Cite \textit{P. Colli} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 193--228 (2022; Zbl 07556763) Full Text: DOI OpenURL
Shen, Jie; Zhang, Xiangxiong Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. (English) Zbl 07549728 Commun. Math. Sci. 20, No. 5, 1409-1436 (2022). MSC: 65M06 65M12 65M60 PDF BibTeX XML Cite \textit{J. Shen} and \textit{X. Zhang}, Commun. Math. Sci. 20, No. 5, 1409--1436 (2022; Zbl 07549728) Full Text: DOI OpenURL
Wang, Chenxi; Guo, Yichen; Zhang, Zhen Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines. (English) Zbl 07549608 J. Sci. Comput. 92, No. 1, Paper No. 20, 29 p. (2022). MSC: 65Mxx 76Dxx 35Kxx PDF BibTeX XML Cite \textit{C. Wang} et al., J. Sci. Comput. 92, No. 1, Paper No. 20, 29 p. (2022; Zbl 07549608) Full Text: DOI OpenURL
Kwak, Soobin; Lee, Hyun Geun; Li, Yibao; Yang, Junxiang; Lee, Chaeyoung; Kim, Hyundong; Kang, Seungyoon; Kim, Junseok Motion by mean curvature with constraints using a modified Allen-Cahn equation. (English) Zbl 07549328 J. Sci. Comput. 92, No. 1, Paper No. 16, 16 p. (2022). MSC: 65Mxx 35Kxx 35Qxx PDF BibTeX XML Cite \textit{S. Kwak} et al., J. Sci. Comput. 92, No. 1, Paper No. 16, 16 p. (2022; Zbl 07549328) Full Text: DOI OpenURL
da Costa-Haveroth, T. C.; Haveroth, G. A.; Bittencourt, M. L.; Boldrini, J. L. A damage phase-field model for fractional viscoelastic materials in finite strain. (English) Zbl 07548509 Comput. Mech. 69, No. 6, 1365-1393 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{T. C. da Costa-Haveroth} et al., Comput. Mech. 69, No. 6, 1365--1393 (2022; Zbl 07548509) Full Text: DOI OpenURL
Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank A comparative review of peridynamics and phase-field models for engineering fracture mechanics. (English) Zbl 07548505 Comput. Mech. 69, No. 6, 1259-1293 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{P. Diehl} et al., Comput. Mech. 69, No. 6, 1259--1293 (2022; Zbl 07548505) Full Text: DOI OpenURL
Kelm, Mathis; Gärttner, Stephan; Bringedal, Carina; Flemisch, Bernd; Knabner, Peter; Ray, Nadja Comparison study of phase-field and level-set method for three-phase systems including two minerals. (English) Zbl 07544731 Comput. Geosci. 26, No. 3, 545-570 (2022). MSC: 76S05 76V05 86-08 PDF BibTeX XML Cite \textit{M. Kelm} et al., Comput. Geosci. 26, No. 3, 545--570 (2022; Zbl 07544731) Full Text: DOI OpenURL
Bretin, Elie; Masnou, Simon; Sengers, Arnaud; Terii, Garry Approximation of surface diffusion flow: a second-order variational Cahn-Hilliard model with degenerate mobilities. (English) Zbl 07544555 Math. Models Methods Appl. Sci. 32, No. 4, 793-829 (2022). MSC: 74N20 74A50 74S25 74H10 PDF BibTeX XML Cite \textit{E. Bretin} et al., Math. Models Methods Appl. Sci. 32, No. 4, 793--829 (2022; Zbl 07544555) Full Text: DOI OpenURL
Lakhmara, Nitu; Mahato, Hari Shankar Homogenization of a coupled incompressible Stokes-Cahn-Hilliard system modeling binary fluid mixture in a porous medium. (English) Zbl 07544203 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112927, 19 p. (2022). MSC: 35B27 35K57 35K91 35Q35 76M50 76S05 PDF BibTeX XML Cite \textit{N. Lakhmara} and \textit{H. S. Mahato}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112927, 19 p. (2022; Zbl 07544203) Full Text: DOI OpenURL
Hu, C.; Martin, S.; Dingreville, R. Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space. (English) Zbl 07543714 Comput. Methods Appl. Mech. Eng. 397, Article ID 115128, 22 p. (2022). MSC: 82-XX 81-XX PDF BibTeX XML Cite \textit{C. Hu} et al., Comput. Methods Appl. Mech. Eng. 397, Article ID 115128, 22 p. (2022; Zbl 07543714) Full Text: DOI OpenURL
Li, Qi; Cui, Ning; Zheng, Supei; Mei, Liquan A new Allen-Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation. (English) Zbl 07540984 Appl. Math. Lett. 132, Article ID 108211, 11 p. (2022). MSC: 65-XX 82-XX PDF BibTeX XML Cite \textit{Q. Li} et al., Appl. Math. Lett. 132, Article ID 108211, 11 p. (2022; Zbl 07540984) Full Text: DOI OpenURL
Qin, Yuzhe; Huang, Huaxiong; Zhu, Yi; Liu, Chun; Xu, Shixin A phase field model for mass transport with semi-permeable interfaces. (English) Zbl 07540367 J. Comput. Phys. 464, Article ID 111334, 23 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{Y. Qin} et al., J. Comput. Phys. 464, Article ID 111334, 23 p. (2022; Zbl 07540367) Full Text: DOI OpenURL
Jain, Suhas S.; Moin, Parviz A kinetic energy-and entropy-preserving scheme for compressible two-phase flows. (English) Zbl 07540354 J. Comput. Phys. 464, Article ID 111307, 25 p. (2022). MSC: 76Mxx 76Fxx 65Mxx PDF BibTeX XML Cite \textit{S. S. Jain} and \textit{P. Moin}, J. Comput. Phys. 464, Article ID 111307, 25 p. (2022; Zbl 07540354) Full Text: DOI OpenURL
Sinhababu, Arijit; Bhattacharya, Anirban A pseudo-spectral based efficient volume penalization scheme for Cahn-Hilliard equation in complex geometries. (English) Zbl 07538447 Math. Comput. Simul. 199, 1-24 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{A. Sinhababu} and \textit{A. Bhattacharya}, Math. Comput. Simul. 199, 1--24 (2022; Zbl 07538447) Full Text: DOI OpenURL
Rojas, Roberto; Sotomayor, Verónica; Takaki, Tomohiro; Hayashi, Kosuke; Tomiyama, Akio A phase field-finite difference lattice Boltzmann method for modeling dendritic growth solidification in the presence of melt convection. (English) Zbl 07537404 Comput. Math. Appl. 114, 180-187 (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{R. Rojas} et al., Comput. Math. Appl. 114, 180--187 (2022; Zbl 07537404) Full Text: DOI OpenURL
Yang, Qin; Zhang, Ang; Jiang, Bin; Gao, Liang; Guo, Zhipeng; Song, Jiangfeng; Xiong, Shoumei; Pan, Fusheng Numerical investigation of eutectic growth dynamics under convection by 3D phase-field method. (English) Zbl 07537397 Comput. Math. Appl. 114, 83-94 (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{Q. Yang} et al., Comput. Math. Appl. 114, 83--94 (2022; Zbl 07537397) Full Text: DOI OpenURL
He, Qiang; Huang, Weifeng; Yin, Yuan; Li, Decai; Wang, Yuming A lattice Boltzmann model for liquid-vapor-solid flow with thermal phase change. (English) Zbl 07537395 Comput. Math. Appl. 114, 60-72 (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{Q. He} et al., Comput. Math. Appl. 114, 60--72 (2022; Zbl 07537395) Full Text: DOI OpenURL
Walloth, Mirjam; Wollner, Winnifried A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. (English) Zbl 07537253 SIAM J. Sci. Comput. 44, No. 3, B479-B505 (2022). MSC: 65M60 35J86 65M15 65M50 74R10 74S05 PDF BibTeX XML Cite \textit{M. Walloth} and \textit{W. Wollner}, SIAM J. Sci. Comput. 44, No. 3, B479--B505 (2022; Zbl 07537253) Full Text: DOI OpenURL
Da, Daicong Model reduction on 3D fracture resistance design. (English) Zbl 07536773 J. Comput. Phys. 463, Article ID 111274, 19 p. (2022). MSC: 74Rxx 65Mxx 74Sxx PDF BibTeX XML Cite \textit{D. Da}, J. Comput. Phys. 463, Article ID 111274, 19 p. (2022; Zbl 07536773) Full Text: DOI OpenURL
Zhang, Fan; Li, Dongfang; Sun, Hai-Wei; Zhang, Jia-Li A stabilized fully-discrete scheme for phase field crystal equation. (English) Zbl 07533832 Appl. Numer. Math. 178, 337-355 (2022). MSC: 65Mxx 82Dxx 35Qxx PDF BibTeX XML Cite \textit{F. Zhang} et al., Appl. Numer. Math. 178, 337--355 (2022; Zbl 07533832) Full Text: DOI OpenURL
Risthaus, Lennart; Schneider, Matti Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites. (English) Zbl 07533827 Appl. Numer. Math. 178, 262-279 (2022). MSC: 74A40 74N15 74N20 74S20 74Q10 PDF BibTeX XML Cite \textit{L. Risthaus} and \textit{M. Schneider}, Appl. Numer. Math. 178, 262--279 (2022; Zbl 07533827) Full Text: DOI OpenURL
Scherer, Jean-Michel; Brach, Stella; Bleyer, Jérémy An assessment of anisotropic phase-field models of brittle fracture. (English) Zbl 07532591 Comput. Methods Appl. Mech. Eng. 395, Article ID 115036, 29 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{J.-M. Scherer} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 115036, 29 p. (2022; Zbl 07532591) Full Text: DOI OpenURL
Marulli, M. R.; Valverde-González, A.; Quintanas-Corominas, A.; Paggi, M.; Reinoso, J. A combined phase-field and cohesive zone model approach for crack propagation in layered structures made of nonlinear rubber-like materials. (English) Zbl 07532582 Comput. Methods Appl. Mech. Eng. 395, Article ID 115007, 37 p. (2022). MSC: 74-XX 78-XX PDF BibTeX XML Cite \textit{M. R. Marulli} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 115007, 37 p. (2022; Zbl 07532582) Full Text: DOI OpenURL
Chen, Chuanjun; Yang, Xiaofeng Fully-decoupled, energy stable second-order time-accurate and finite element numerical scheme of the binary immiscible nematic-Newtonian model. (English) Zbl 07532562 Comput. Methods Appl. Mech. Eng. 395, Article ID 114963, 26 p. (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{C. Chen} and \textit{X. Yang}, Comput. Methods Appl. Mech. Eng. 395, Article ID 114963, 26 p. (2022; Zbl 07532562) Full Text: DOI OpenURL
Phansalkar, Dhananjay; Weinberg, Kerstin; Ortiz, Michael; Leyendecker, Sigrid A spatially adaptive phase-field model of fracture. (English) Zbl 07532553 Comput. Methods Appl. Mech. Eng. 395, Article ID 114880, 10 p. (2022). MSC: 82-XX 74-XX PDF BibTeX XML Cite \textit{D. Phansalkar} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114880, 10 p. (2022; Zbl 07532553) Full Text: DOI OpenURL
Elliott, Charles M.; Hatcher, Luke; Stinner, Björn On the sharp interface limit of a phase field model for near spherical two phase biomembranes. (English) Zbl 07531882 Interfaces Free Bound. 24, No. 2, 263-286 (2022). MSC: 35Q92 35Q35 92C10 76Z05 74L15 74K15 35A15 49J45 35R35 PDF BibTeX XML Cite \textit{C. M. Elliott} et al., Interfaces Free Bound. 24, No. 2, 263--286 (2022; Zbl 07531882) Full Text: DOI OpenURL
Tang, Tao; Wang, Boyi; Yang, Jiang Asymptotic analysis on the sharp interface limit of the time-fractional Cahn-Hilliard equation. (English) Zbl 07530809 SIAM J. Appl. Math. 82, No. 3, 773-792 (2022). MSC: 65M30 65M15 65M12 PDF BibTeX XML Cite \textit{T. Tang} et al., SIAM J. Appl. Math. 82, No. 3, 773--792 (2022; Zbl 07530809) Full Text: DOI OpenURL
Zhang, Wenqiang; Shahmardi, Armin; Choi, Kwing-so; Tammisola, Outi; Brandt, Luca; Mao, Xuerui A phase-field method for three-phase flows with icing. (English) Zbl 07527729 J. Comput. Phys. 458, Article ID 111104, 19 p. (2022). MSC: 76Mxx 76Dxx 76Txx PDF BibTeX XML Cite \textit{W. Zhang} et al., J. Comput. Phys. 458, Article ID 111104, 19 p. (2022; Zbl 07527729) Full Text: DOI OpenURL
Ntoukas, Gerasimos; Manzanero, Juan; Rubio, Gonzalo; Valero, Eusebio; Ferrer, Esteban An entropy-stable p-adaptive nodal discontinuous Galerkin for the coupled Navier-Stokes/Cahn-Hilliard system. (English) Zbl 07527720 J. Comput. Phys. 458, Article ID 111093, 33 p. (2022). MSC: 65Mxx 76Mxx 76Txx PDF BibTeX XML Cite \textit{G. Ntoukas} et al., J. Comput. Phys. 458, Article ID 111093, 33 p. (2022; Zbl 07527720) Full Text: DOI OpenURL
Li, Yibao; Wang, Kunyang; Yu, Qian; Xia, Qing; Kim, Junseok Unconditionally energy stable schemes for fluid-based topology optimization. (English) Zbl 07526842 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106433, 21 p. (2022). MSC: 65Mxx 76Dxx 76Mxx PDF BibTeX XML Cite \textit{Y. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106433, 21 p. (2022; Zbl 07526842) Full Text: DOI OpenURL
Tian, Fucheng; Zeng, Jun; Zhang, Mengnan; Li, Liangbin Mixed displacement-pressure-phase field framework for finite strain fracture of nearly incompressible hyperelastic materials. (English) Zbl 07526230 Comput. Methods Appl. Mech. Eng. 394, Article ID 114933, 25 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{F. Tian} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114933, 25 p. (2022; Zbl 07526230) Full Text: DOI OpenURL
Bharali, Ritukesh; Goswami, Somdatta; Anitescu, Cosmin; Rabczuk, Timon A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation. (English) Zbl 07526228 Comput. Methods Appl. Mech. Eng. 394, Article ID 114927, 23 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{R. Bharali} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114927, 23 p. (2022; Zbl 07526228) Full Text: DOI OpenURL
Min, Lang; Hu, Xiaofei; Yao, Weian; Bui, Tinh Quoc; Zhang, Peng On realizing specific failure initiation criteria in the phase field model. (English) Zbl 07526207 Comput. Methods Appl. Mech. Eng. 394, Article ID 114881, 21 p. (2022). MSC: 74-XX 81-XX PDF BibTeX XML Cite \textit{L. Min} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114881, 21 p. (2022; Zbl 07526207) Full Text: DOI OpenURL
Wu, Yi; Yvonnet, Julien; Li, Pengfei; He, Zhi-Cheng Topology optimization for enhanced dynamic fracture resistance of structures. (English) Zbl 07526199 Comput. Methods Appl. Mech. Eng. 394, Article ID 114846, 24 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{Y. Wu} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114846, 24 p. (2022; Zbl 07526199) Full Text: DOI OpenURL
Nguyen-Thanh, Nhon; Li, Weidong; Huang, Jiazhao; Zhou, Kun Multi phase-field modeling of anisotropic crack propagation in 3D fiber-reinforced composites based on an adaptive isogeometric meshfree collocation method. (English) Zbl 07526116 Comput. Methods Appl. Mech. Eng. 393, Article ID 114794, 26 p. (2022). MSC: 74-XX 78-XX PDF BibTeX XML Cite \textit{N. Nguyen-Thanh} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114794, 26 p. (2022; Zbl 07526116) Full Text: DOI OpenURL
Labanda, Nicolás A.; Espath, Luis; Calo, Victor M. A spatio-temporal adaptive phase-field fracture method. (English) Zbl 07526006 Comput. Methods Appl. Mech. Eng. 392, Article ID 114675, 20 p. (2022). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{N. A. Labanda} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114675, 20 p. (2022; Zbl 07526006) Full Text: DOI OpenURL
Yin, Bo; Zhao, Dong; Storm, Johannes; Kaliske, Michael Phase-field fracture incorporating cohesive adhesion failure mechanisms within the representative crack element framework. (English) Zbl 07526001 Comput. Methods Appl. Mech. Eng. 392, Article ID 114664, 35 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{B. Yin} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114664, 35 p. (2022; Zbl 07526001) Full Text: DOI OpenURL
Ma, Pu-Song; Ye, Jia-Yu; Tian, Kun; Chen, Xiu-Hua; Zhang, Lu-Wen Fracture phase field modeling of 3D stitched composite with optimized suture design. (English) Zbl 07525994 Comput. Methods Appl. Mech. Eng. 392, Article ID 114650, 24 p. (2022). MSC: 74-XX 82-XX PDF BibTeX XML Cite \textit{P.-S. Ma} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114650, 24 p. (2022; Zbl 07525994) Full Text: DOI OpenURL
Liu, Sijia; Wang, Yunteng; Peng, Chong; Wu, Wei A thermodynamically consistent phase field model for mixed-mode fracture in rock-like materials. (English) Zbl 07525990 Comput. Methods Appl. Mech. Eng. 392, Article ID 114642, 28 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{S. Liu} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114642, 28 p. (2022; Zbl 07525990) Full Text: DOI OpenURL
Dan, Saikat; Tarafder, Preetam; Ghosh, Somnath Adaptive wavelet-enhanced cohesive zone phase-field FE model for crack evolution in piezoelectric composites. (English) Zbl 07525986 Comput. Methods Appl. Mech. Eng. 392, Article ID 114636, 30 p. (2022). MSC: 74-XX 78-XX PDF BibTeX XML Cite \textit{S. Dan} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114636, 30 p. (2022; Zbl 07525986) Full Text: DOI OpenURL
Cheng, Qing; Delafrouz, Pourya; Liang, Jie; Liu, Chun; Shen, Jie Modeling and simulation of cell nuclear architecture reorganization process. (English) Zbl 07524801 J. Comput. Phys. 449, Article ID 110808, 19 p. (2022). MSC: 65Mxx 92Cxx 35Kxx PDF BibTeX XML Cite \textit{Q. Cheng} et al., J. Comput. Phys. 449, Article ID 110808, 19 p. (2022; Zbl 07524801) Full Text: DOI OpenURL
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. (English) Zbl 07524791 J. Comput. Phys. 449, Article ID 110795, 23 p. (2022). MSC: 76Mxx 76Txx 65Mxx PDF BibTeX XML Cite \textit{Z. Huang} et al., J. Comput. Phys. 449, Article ID 110795, 23 p. (2022; Zbl 07524791) Full Text: DOI OpenURL
Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. (English) Zbl 07524769 J. Comput. Phys. 449, Article ID 110769, 20 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDF BibTeX XML Cite \textit{C. Liu} et al., J. Comput. Phys. 449, Article ID 110769, 20 p. (2022; Zbl 07524769) Full Text: DOI OpenURL
Ji, Kaihua; Tabrizi, Amirhossein Molavi; Karma, Alain Isotropic finite-difference approximations for phase-field simulations of polycrystalline alloy solidification. (English) Zbl 07523817 J. Comput. Phys. 457, Article ID 111069, 24 p. (2022). MSC: 65Mxx 35Jxx 65Nxx PDF BibTeX XML Cite \textit{K. Ji} et al., J. Comput. Phys. 457, Article ID 111069, 24 p. (2022; Zbl 07523817) Full Text: DOI OpenURL
Min, Xilin; Zhang, Jun Fully discrete spectral-Galerkin linear and unconditionally energy stable algorithm for the square phase-field crystal system. (English) Zbl 07523652 Appl. Math. Lett. 131, Article ID 107992, 7 p. (2022). MSC: 65-XX 82-XX PDF BibTeX XML Cite \textit{X. Min} and \textit{J. Zhang}, Appl. Math. Lett. 131, Article ID 107992, 7 p. (2022; Zbl 07523652) Full Text: DOI OpenURL
Storm, J.; Yin, B.; Kaliske, M. The concept of representative crack elements (RCE) for phase-field fracture: transient thermo-mechanics. (English) Zbl 07518256 Comput. Mech. 69, No. 5, 1165-1176 (2022). MSC: 74S05 74R10 74F05 74K20 PDF BibTeX XML Cite \textit{J. Storm} et al., Comput. Mech. 69, No. 5, 1165--1176 (2022; Zbl 07518256) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Chen} and \textit{X. Yang}, J. Comput. Phys. 456, Article ID 111026, 24 p. (2022; Zbl 07518104) Full Text: DOI OpenURL
Jiang, Maosheng; Zhang, Zengyan; Zhao, Jia Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation. (English) Zbl 07518095 J. Comput. Phys. 456, Article ID 110954, 20 p. (2022). MSC: 65Mxx 35Kxx 35Qxx PDF BibTeX XML Cite \textit{M. Jiang} et al., J. Comput. Phys. 456, Article ID 110954, 20 p. (2022; Zbl 07518095) Full Text: DOI OpenURL
Yang, Junxiang; Tan, Zhijun; Kim, Junseok Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach. (English) Zbl 07517738 J. Comput. Phys. 452, Article ID 110909, 31 p. (2022). MSC: 65Mxx 76Mxx 76Txx PDF BibTeX XML Cite \textit{J. Yang} et al., J. Comput. Phys. 452, Article ID 110909, 31 p. (2022; Zbl 07517738) Full Text: DOI OpenURL
Ghosh, Supriyo; Newman, Christopher K.; Francois, Marianne M. Tusas: a fully implicit parallel approach for coupled phase-field equations. (English) Zbl 07516818 J. Comput. Phys. 448, Article ID 110734, 19 p. (2022). MSC: 65Fxx 65Hxx 76Mxx PDF BibTeX XML Cite \textit{S. Ghosh} et al., J. Comput. Phys. 448, Article ID 110734, 19 p. (2022; Zbl 07516818) Full Text: DOI OpenURL
Zhang, Jiaming; Huang, Peizhen Phase field simulation of healing and growth of voids in interconnects under electric field-induced interface migration. (English) Zbl 07516654 Eur. J. Mech., A, Solids 94, Article ID 104600, 11 p. (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{J. Zhang} and \textit{P. Huang}, Eur. J. Mech., A, Solids 94, Article ID 104600, 11 p. (2022; Zbl 07516654) Full Text: DOI OpenURL
Xiong, Zonghong; Wei, Wei; Zhou, Ying; Wang, Yue; Liao, Yumei Optimal control for a phase field model of melting arising from inductive heating. (English) Zbl 1485.49012 AIMS Math. 7, No. 1, 121-142 (2022). MSC: 49J20 49K20 78M50 80A19 35Q93 35K55 35Q60 PDF BibTeX XML Cite \textit{Z. Xiong} et al., AIMS Math. 7, No. 1, 121--142 (2022; Zbl 1485.49012) Full Text: DOI OpenURL
Han, Huan; Liu, Shuhong; Zuo, Zhigang; Yang, Junxiang An efficiently linear and totally decoupled variant of SAV approach for the binary phase-field surfactant fluid model. (English) Zbl 07512560 Comput. Fluids 238, Article ID 105364, 11 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{H. Han} et al., Comput. Fluids 238, Article ID 105364, 11 p. (2022; Zbl 07512560) Full Text: DOI OpenURL
Wang, Weiwen; Azaiez, Mejdi; Xu, Chuanju An unconditionally stable fast high order method for thermal phase change models. (English) Zbl 07512545 Comput. Fluids 237, Article ID 105306, 13 p. (2022). MSC: 65M06 65M12 65M70 35R37 76-XX PDF BibTeX XML Cite \textit{W. Wang} et al., Comput. Fluids 237, Article ID 105306, 13 p. (2022; Zbl 07512545) Full Text: DOI OpenURL
Novelli, Larissa; Gori, Lapo; da Silva Pitangueira, Roque Luiz Phase-field modelling of brittle fracture with smoothed radial point interpolation methods. (English) Zbl 07511091 Eng. Anal. Bound. Elem. 138, 219-234 (2022). MSC: 74-XX 86-XX PDF BibTeX XML Cite \textit{L. Novelli} et al., Eng. Anal. Bound. Elem. 138, 219--234 (2022; Zbl 07511091) Full Text: DOI OpenURL
Fei, Jiajie; Xie, Shusen; Chen, Chunguang A scalar auxiliary variable (SAV) and operator splitting compact finite difference method for peritectic phase field model. (English) Zbl 07509158 Int. J. Numer. Anal. Model. 19, No. 1, 85-100 (2022). MSC: 65M06 65M12 65P99 35Q99 PDF BibTeX XML Cite \textit{J. Fei} et al., Int. J. Numer. Anal. Model. 19, No. 1, 85--100 (2022; Zbl 07509158) Full Text: Link OpenURL
Biswas, Tania; Rocca, Elisabetta Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. (English) Zbl 07506976 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2455-2469 (2022). MSC: 35Q92 92C50 92C37 92C35 35K58 35K51 35B41 37L30 PDF BibTeX XML Cite \textit{T. Biswas} and \textit{E. Rocca}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2455--2469 (2022; Zbl 07506976) Full Text: DOI OpenURL
Kurima, Shunsuke Existence for a singular nonlocal phase field system with inertial term. (English) Zbl 1486.35143 Acta Appl. Math. 178, Paper No. 10, 20 p. (2022). MSC: 35G61 35R09 80A22 PDF BibTeX XML Cite \textit{S. Kurima}, Acta Appl. Math. 178, Paper No. 10, 20 p. (2022; Zbl 1486.35143) Full Text: DOI OpenURL
Zhang, Shengyuan; Tang, Jun; Wu, Huiying Wetting boundary schemes in modified phase-field lattice Boltzmann method for binary fluids with large density ratios. (English) Zbl 07504652 Comput. Math. Appl. 113, 243-253 (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{S. Zhang} et al., Comput. Math. Appl. 113, 243--253 (2022; Zbl 07504652) Full Text: DOI OpenURL
An, Jing; Zhang, Jun; Yang, Xiaofeng A novel second-order time accurate fully discrete finite element scheme with decoupling structure for the hydrodynamically-coupled phase field crystal model. (English) Zbl 07504640 Comput. Math. Appl. 113, 70-85 (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{J. An} et al., Comput. Math. Appl. 113, 70--85 (2022; Zbl 07504640) Full Text: DOI OpenURL
Kim, Hyundong; Lee, Chaeyoung; Kwak, Soobin; Hwang, Youngjin; Kim, Sangkwon; Choi, Yongho; Kim, Junseok Three-dimensional volume reconstruction from multi-slice data using a shape transformation. (English) Zbl 07504638 Comput. Math. Appl. 113, 52-58 (2022). MSC: 65-XX 92-XX PDF BibTeX XML Cite \textit{H. Kim} et al., Comput. Math. Appl. 113, 52--58 (2022; Zbl 07504638) Full Text: DOI OpenURL
Yang, Junxiang; Kim, Junseok Energy dissipation-preserving time-dependent auxiliary variable method for the phase-field crystal and the Swift-Hohenberg models. (English) Zbl 07496469 Numer. Algorithms 89, No. 4, 1865-1894 (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{J. Yang} and \textit{J. Kim}, Numer. Algorithms 89, No. 4, 1865--1894 (2022; Zbl 07496469) Full Text: DOI OpenURL
Ali, Baharin; Heider, Yousef; Markert, Bernd Residual stresses in gas tungsten arc welding: a novel phase-field thermo-elastoplasticity modeling and parameter treatment framework. (English) Zbl 07492685 Comput. Mech. 69, No. 2, 565-587 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{B. Ali} et al., Comput. Mech. 69, No. 2, 565--587 (2022; Zbl 07492685) Full Text: DOI OpenURL
Han, Jike; Matsubara, Seishiro; Moriguchi, Shuji; Kaliske, Michael; Terada, Kenjiro Crack phase-field model equipped with plastic driving force and degrading fracture toughness for ductile fracture simulation. (English) Zbl 07492663 Comput. Mech. 69, No. 1, 151-175 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{J. Han} et al., Comput. Mech. 69, No. 1, 151--175 (2022; Zbl 07492663) Full Text: DOI OpenURL
Cui, Ning; Wang, Pei; Li, Qi A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential. (English) Zbl 07490253 Comput. Appl. Math. 41, No. 2, Paper No. 85, 19 p. (2022). MSC: 65M06 65M70 65M12 PDF BibTeX XML Cite \textit{N. Cui} et al., Comput. Appl. Math. 41, No. 2, Paper No. 85, 19 p. (2022; Zbl 07490253) Full Text: DOI OpenURL
Ntsokongo, Armel Judice; Tathy, Christian Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law. (English) Zbl 07488636 Asymptotic Anal. 128, No. 1, 1-30 (2022). MSC: 35Qxx PDF BibTeX XML Cite \textit{A. J. Ntsokongo} and \textit{C. Tathy}, Asymptotic Anal. 128, No. 1, 1--30 (2022; Zbl 07488636) Full Text: DOI OpenURL
Goswami, Somdatta; Yin, Minglang; Yu, Yue; Karniadakis, George Em A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials. (English) Zbl 07487692 Comput. Methods Appl. Mech. Eng. 391, Article ID 114587, 29 p. (2022). MSC: 74-XX 86-XX PDF BibTeX XML Cite \textit{S. Goswami} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114587, 29 p. (2022; Zbl 07487692) Full Text: DOI arXiv OpenURL
Li, Cunyi; Fang, Jianguang; Wu, Chi; Sun, Guangyong; Steven, Grant; Li, Qing Phase field fracture in elasto-plastic solids: incorporating phenomenological failure criteria for ductile materials. (English) Zbl 07487690 Comput. Methods Appl. Mech. Eng. 391, Article ID 114580, 29 p. (2022). MSC: 74-XX 81-XX PDF BibTeX XML Cite \textit{C. Li} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114580, 29 p. (2022; Zbl 07487690) Full Text: DOI OpenURL
López, Jorge; Valizadeh, Navid; Rabczuk, Timon An isogeometric phase-field based shape and topology optimization for flexoelectric structures. (English) Zbl 07487683 Comput. Methods Appl. Mech. Eng. 391, Article ID 114564, 31 p. (2022). MSC: 74-XX 78-XX PDF BibTeX XML Cite \textit{J. López} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114564, 31 p. (2022; Zbl 07487683) Full Text: DOI OpenURL
Hu, Tianyi; Leng, Yu; Gomez, Hector A novel method to impose boundary conditions for higher-order partial differential equations. (English) Zbl 07487666 Comput. Methods Appl. Mech. Eng. 391, Article ID 114526, 19 p. (2022). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{T. Hu} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114526, 19 p. (2022; Zbl 07487666) Full Text: DOI OpenURL
Dinachandra, Moirangthem; Alankar, Alankar Adaptive finite element modeling of phase-field fracture driven by hydrogen embrittlement. (English) Zbl 07487658 Comput. Methods Appl. Mech. Eng. 391, Article ID 114509, 27 p. (2022). MSC: 74-XX 86-XX PDF BibTeX XML Cite \textit{M. Dinachandra} and \textit{A. Alankar}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114509, 27 p. (2022; Zbl 07487658) Full Text: DOI OpenURL
Ebrahimi, Faezeh A \(C^1\) finite element method for axisymmetric lipid membranes in the presence of the Gaussian energy. (English) Zbl 07487648 Comput. Methods Appl. Mech. Eng. 391, Article ID 114472, 18 p. (2022). MSC: 81-XX 74-XX PDF BibTeX XML Cite \textit{F. Ebrahimi}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114472, 18 p. (2022; Zbl 07487648) Full Text: DOI OpenURL
Chen, Bosheng; Li, Huilai; Liu, Changchun Optimal distributed control for a coupled phase-field system. (English) Zbl 07485794 Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1789-1825 (2022). Reviewer: Wei Gong (Beijing) MSC: 49J20 49K20 49J50 35M30 PDF BibTeX XML Cite \textit{B. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1789--1825 (2022; Zbl 07485794) Full Text: DOI OpenURL
Zhao, Lixian; Mai, Jiawei; Cheng, Fang Weak solutions and simulations to a new phase-field model with periodic boundary. (English) Zbl 1484.35271 Appl. Anal. 101, No. 1, 366-381 (2022). MSC: 35K65 35B40 35K20 35K59 74N20 PDF BibTeX XML Cite \textit{L. Zhao} et al., Appl. Anal. 101, No. 1, 366--381 (2022; Zbl 1484.35271) Full Text: DOI OpenURL
Zhao, Jia A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models. (English) Zbl 07483144 Comput. Math. Appl. 110, 91-109 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Zhao}, Comput. Math. Appl. 110, 91--109 (2022; Zbl 07483144) Full Text: DOI arXiv OpenURL
Li, Minghui; Azaiez, Mejdi; Xu, Chuanju New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model. (English) Zbl 07483131 Comput. Math. Appl. 109, 204-215 (2022). MSC: 82-XX 65-XX PDF BibTeX XML Cite \textit{M. Li} et al., Comput. Math. Appl. 109, 204--215 (2022; Zbl 07483131) Full Text: DOI arXiv OpenURL
Zhou, Xun; Dong, Bo; Li, Weizhong; Liang, Kunfeng Lattice Boltzmann modeling of primary liquid film breakup at the prefilmer edge: effects of surface wettability. (English) Zbl 07483127 Comput. Math. Appl. 109, 146-157 (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{X. Zhou} et al., Comput. Math. Appl. 109, 146--157 (2022; Zbl 07483127) Full Text: DOI OpenURL
Zarareh, Amin; Burnside, Stephen B.; Khajepor, Sorush; Chen, Baixin Improving the staircase approximation for wettability implementation of phase-field model. II: Three-component permeation. (English) Zbl 07483124 Comput. Math. Appl. 109, 100-124 (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{A. Zarareh} et al., Comput. Math. Appl. 109, 100--124 (2022; Zbl 07483124) Full Text: DOI OpenURL
Martine-La Boissonière, Gabriel; Choksi, Rustum; Lessard, Jean-Philippe Microscopic patterns in the 2D phase-field-crystal model. (English) Zbl 1483.65205 Nonlinearity 35, No. 3, 1500-1520 (2022). MSC: 65P40 41A58 PDF BibTeX XML Cite \textit{G. Martine-La Boissonière} et al., Nonlinearity 35, No. 3, 1500--1520 (2022; Zbl 1483.65205) Full Text: DOI arXiv OpenURL
Bisconti, Luca; Mariano, Paolo Maria Moving vesicles in elastic tissues: a model with existence and uniqueness of weak solutions. (English) Zbl 1483.74067 Physica D 430, Article ID 133079, 11 p. (2022). MSC: 74L15 74K15 74H20 74H25 35Q74 92C10 PDF BibTeX XML Cite \textit{L. Bisconti} and \textit{P. M. Mariano}, Physica D 430, Article ID 133079, 11 p. (2022; Zbl 1483.74067) Full Text: DOI OpenURL
Xu, Bo; Yu, Chao; Kan, Qianhua; Kang, Guozheng Phase field study on the microscopic mechanism of the cyclic degradation of shape memory effect in nano-polycrystalline niti shape memory alloys. (English) Zbl 07477421 Eur. J. Mech., A, Solids 93, Article ID 104544, 35 p. (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{B. Xu} et al., Eur. J. Mech., A, Solids 93, Article ID 104544, 35 p. (2022; Zbl 07477421) Full Text: DOI OpenURL
Geng, Shuang; Li, Tongmao; Ye, Qiongwei; Yang, Xiaofeng A new conservative Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymers and its numerical approximations. (English) Zbl 07475338 Adv. Appl. Math. Mech. 14, No. 1, 101-124 (2022). MSC: 65N12 65P40 65Z05 PDF BibTeX XML Cite \textit{S. Geng} et al., Adv. Appl. Math. Mech. 14, No. 1, 101--124 (2022; Zbl 07475338) Full Text: DOI OpenURL
Cao, Junying; Zhang, Jun; Yang, Xiaofeng Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model. (English) Zbl 1482.74160 J. Comput. Appl. Math. 406, Article ID 113988, 18 p. (2022). MSC: 74S25 74S20 74K15 74L15 65M12 92C10 PDF BibTeX XML Cite \textit{J. Cao} et al., J. Comput. Appl. Math. 406, Article ID 113988, 18 p. (2022; Zbl 1482.74160) Full Text: DOI OpenURL
Liu, Peng; Ouyang, Zhigang; Chen, Chuanjun; Yang, Xiaofeng A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity. (English) Zbl 07469338 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106120, 21 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{P. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106120, 21 p. (2022; Zbl 07469338) Full Text: DOI OpenURL
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming An adaptive BDF2 implicit time-stepping method for the phase field crystal model. (English) Zbl 07465510 IMA J. Numer. Anal. 42, No. 1, 649-679 (2022). MSC: 65M70 65M06 65N35 65M15 65M12 60H35 74N05 35Q74 PDF BibTeX XML Cite \textit{H.-L. Liao} et al., IMA J. Numer. Anal. 42, No. 1, 649--679 (2022; Zbl 07465510) Full Text: DOI arXiv OpenURL
Sun, Ming; Xiao, Xufeng; Feng, Xinlong; Wang, Kun Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces. (English) Zbl 07464741 Comput. Methods Appl. Mech. Eng. 390, Article ID 114450, 24 p. (2022). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{M. Sun} et al., Comput. Methods Appl. Mech. Eng. 390, Article ID 114450, 24 p. (2022; Zbl 07464741) Full Text: DOI OpenURL