The subdivision-based IGA-EIEQ numerical scheme for the binary surfactant Cahn–Hilliard phase-field model on complex curved surfaces
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T. Rabczuk | X. Yang | C. Chen | Qing Pan | Jin Zhang
[1] Xiaofeng Yang. Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell , 2022, ESAIM: Mathematical Modelling and Numerical Analysis.
[2] T. Rabczuk,et al. Subdivision based isogeometric analysis for geometric flows , 2021, International Journal for Numerical Methods in Engineering.
[3] H. Nguyen-Xuan,et al. A hybrid phase-field isogeometric analysis to crack propagation in porous functionally graded structures , 2021, Engineering with Computers.
[4] Xiaofeng Yang,et al. Subdivision-based isogeometric analysis for second order partial differential equations on surfaces , 2021, Computational Mechanics.
[5] Xiaofeng Yang,et al. On a novel full decoupling, linear, second‐order accurate, and unconditionally energy stable numerical scheme for the anisotropic phase‐field dendritic crystal growth model , 2021, International Journal for Numerical Methods in Engineering.
[6] Xiaofeng Yang,et al. On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model , 2021, SIAM J. Sci. Comput..
[7] Xin Li,et al. Tuned hybrid nonuniform subdivision surfaces with optimal convergence rates , 2020, International Journal for Numerical Methods in Engineering.
[8] Xiaofeng Yang. A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen–Cahn type flow-coupled binary surfactant model , 2021 .
[9] Xiaofeng Yang,et al. Efficient, second oder accurate, and unconditionally energy stable numerical scheme for a new hydrodynamics coupled binary phase-field surfactant system , 2020, Comput. Phys. Commun..
[10] Xinlong Feng,et al. An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation , 2020, Appl. Math. Comput..
[11] Timon Rabczuk,et al. Isogeometric analysis for surface PDEs with extended Loop subdivision , 2019, J. Comput. Phys..
[12] Guoliang Xu,et al. Isogeometric analysis of minimal surfaces on the basis of extended Catmull–Clark subdivision , 2018, Computer Methods in Applied Mechanics and Engineering.
[13] Xiaofeng Yang,et al. Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach , 2017, SIAM J. Sci. Comput..
[14] Xiaofeng Yang,et al. Numerical Approximations for the Cahn–Hilliard Phase Field Model of the Binary Fluid-Surfactant System , 2017, Journal of Scientific Computing.
[15] Xiaofeng Yang,et al. Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method , 2017 .
[16] Guoliang Xu,et al. Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision , 2017, J. Comput. Phys..
[17] Xiaofeng Yang,et al. A novel linear second order unconditionally energy stable scheme for a hydrodynamic Q-tensor model of liquid crystals , 2017 .
[18] Lili Ju,et al. Linear and unconditionally energy stable schemes for the binary fluid–surfactant phase field model , 2017, 1701.07446.
[19] Xiaofeng Yang,et al. Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends , 2016, J. Comput. Phys..
[20] Hector Gomez,et al. Liquid-vapor transformations with surfactants. Phase-field model and Isogeometric Analysis , 2016, J. Comput. Phys..
[21] Guoliang Xu,et al. Isogeometric analysis based on extended Catmull-Clark subdivision , 2016, Comput. Math. Appl..
[22] Guoliang Xu,et al. Isogeometric analysis based on extended Loop's subdivision , 2015, J. Comput. Phys..
[23] T. Ogino,et al. Phase separation in lipid bilayer membranes induced by intermixing at a boundary of two phases with different components. , 2015, Chemistry and physics of lipids.
[24] Thomas J. R. Hughes,et al. Truncated hierarchical Catmull–Clark subdivision with local refinement , 2015 .
[25] Hui Zhang,et al. An energy-stable finite-difference scheme for the binary fluid-surfactant system , 2014, J. Comput. Phys..
[26] Charles M. Elliott,et al. Finite element methods for surface PDEs* , 2013, Acta Numerica.
[27] Davide Marenduzzo,et al. Phase separation dynamics on curved surfaces , 2013 .
[28] Junseok Kim. Phase-Field Models for Multi-Component Fluid Flows , 2012 .
[29] I-Liang Chern,et al. Simulating binary fluid-surfactant dynamics by a phase field model , 2012 .
[30] Qiang Du,et al. Finite element approximation of the Cahn–Hilliard equation on surfaces , 2011 .
[31] Frederick A. Heberle,et al. Phase separation in lipid membranes. , 2011, Cold Spring Harbor perspectives in biology.
[32] John A. Evans,et al. Isogeometric analysis using T-splines , 2010 .
[33] Hongwei Lin,et al. Watertight trimmed NURBS , 2008, ACM Trans. Graph..
[34] I. Fonseca,et al. Surfactants in Foam Stability: A Phase-Field Model , 2007 .
[35] Thomas J. R. Hughes,et al. Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow , 2007, IMR.
[36] T. Hughes,et al. ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES , 2006 .
[37] R. V. D. Sman,et al. Diffuse interface model of surfactant adsorption onto flat and droplet interfaces , 2006 .
[38] Cheng-han Yu,et al. Curvature-modulated phase separation in lipid bilayer membranes. , 2006, Langmuir : the ACS journal of surfaces and colloids.
[39] T. Hughes,et al. Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .
[40] Ahmad H. Nasri,et al. T-splines and T-NURCCs , 2003, ACM Trans. Graph..
[41] Jie Shen,et al. A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method , 2003 .
[42] Peter Schröder,et al. Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision , 2002, Comput. Aided Des..
[43] Jonathan Goodman,et al. Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime , 2002 .
[44] Daisuke Furihata,et al. A stable and conservative finite difference scheme for the Cahn-Hilliard equation , 2001, Numerische Mathematik.
[45] M. Ortiz,et al. Subdivision surfaces: a new paradigm for thin‐shell finite‐element analysis , 2000 .
[46] Jos Stam,et al. Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values , 1998, SIGGRAPH.
[47] Hiroya Kodama,et al. TWO-ORDER-PARAMETER MODEL FOR AN OIL-WATER-SURFACTANT SYSTEM , 1997 .
[48] C. M. Elliott,et al. On the Cahn-Hilliard equation with degenerate mobility , 1996 .
[49] Laradji,et al. Molecular dynamics simulations of phase separation in the presence of surfactants. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[50] Charles M. Elliott,et al. Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy , 1992 .
[51] Mohamed Laradji,et al. The effect of surfactants on the dynamics of phase separation , 1992 .
[52] E. Catmull,et al. Recursively generated B-spline surfaces on arbitrary topological meshes , 1978 .