Highly accurate, linear, and unconditionally energy stable large time-stepping schemes for the Functionalized Cahn-Hilliard gradient flow equation
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Jie Ouyang | Chenhui Zhang | Xiaodong Wang | Shuke Li | Jiaomin Mao | J. Ouyang | Xiaodong Wang | Shuke Li | Chenhui Zhang | Jiaomin Mao
[1] Jie Shen,et al. A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows , 2017, SIAM Rev..
[2] Wenqiang Feng,et al. A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-cartesian grids , 2018, J. Comput. Phys..
[3] 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..
[4] Keith Promislow,et al. Curvature driven flow of bi-layer interfaces , 2011 .
[5] Jun Zhang,et al. Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential , 2019, Comput. Phys. Commun..
[6] Jiang Yang,et al. The scalar auxiliary variable (SAV) approach for gradient flows , 2018, J. Comput. Phys..
[7] Frank S. Bates,et al. Consequences of Nonergodicity in Aqueous Binary PEO-PB Micellar Dispersions , 2004 .
[8] Jie Shen,et al. Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization , 2018, J. Comput. Phys..
[9] Ying Chen,et al. A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn–Hilliard Equation and Its Convergence Analysis , 2018, J. Sci. Comput..
[10] Jie Shen,et al. Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows , 2015, SIAM J. Numer. Anal..
[11] Daozhi Han,et al. Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model , 2017, J. Comput. Phys..
[12] Jie Shen,et al. Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach , 2019, J. Sci. Comput..
[13] Steven M. Wise,et al. An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation , 2019, Communications in Computational Physics.
[14] Yuan Ma,et al. An adaptive time-stepping strategy for solving the phase field crystal model , 2013, J. Comput. Phys..
[15] Keith Promislow,et al. PEM Fuel Cells: A Mathematical Overview , 2009, SIAM J. Appl. Math..
[16] Steven M. Wise,et al. Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method , 2007, J. Comput. Phys..
[17] Victor M. Calo,et al. An energy-stable convex splitting for the phase-field crystal equation , 2014, 1405.3488.
[18] Jie Shen,et al. Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications , 2012, J. Comput. Phys..
[19] D. J. Eyre. Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation , 1998 .
[20] Steven M. Wise,et al. Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation , 2020, J. Comput. Phys..
[21] Tao Tang,et al. Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models , 2006, SIAM J. Numer. Anal..
[22] Jie Ouyang,et al. Unconditionally energy stable second-order numerical schemes for the Functionalized Cahn-Hilliard gradient flow equation based on the SAV approach , 2021, Comput. Math. Appl..
[23] Hui Zhang,et al. Efficient and linear schemes for anisotropic Cahn-Hilliard model using the Stabilized-Invariant Energy Quadratization (S-IEQ) approach , 2019, Comput. Phys. Commun..
[24] Jun Zhang,et al. Error analysis of full-discrete invariant energy quadratization schemes for the Cahn-Hilliard type equation , 2020, J. Comput. Appl. Math..
[25] Hui Zhang,et al. A positivity-preserving, energy stable and convergent numerical scheme for the Cahn–Hilliard equation with a Flory–Huggins–Degennes energy , 2019, Communications in Mathematical Sciences.
[26] Yan Xu,et al. Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation , 2015, J. Sci. Comput..
[27] Qing Cheng,et al. Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model , 2018, SIAM J. Sci. Comput..
[28] Jaylan Stuart Jones,et al. Development of a fast and accurate time stepping scheme for the functionalized Cahn-Hilliard equation and application to a graphics processing unit , 2013 .
[29] Xiaofeng Yang,et al. Decoupled energy stable schemes for phase-field vesicle membrane model , 2015, J. Comput. Phys..
[30] Keith Promislow,et al. High accuracy solutions to energy gradient flows from material science models , 2014, J. Comput. Phys..
[31] Cheng Wang,et al. A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation , 2018 .
[32] Katarzyna P. Adamala,et al. Photochemically driven redox chemistry induces protocell membrane pearling and division , 2012, Proceedings of the National Academy of Sciences.
[33] Jia Zhao,et al. Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method , 2017, J. Comput. Phys..
[34] Schick,et al. Correlation between structural and interfacial properties of amphiphilic systems. , 1990, Physical review letters.
[35] Keith Promislow,et al. Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn-Hilliard Equation , 2014, SIAM J. Math. Anal..
[36] K. Promislow,et al. An Overview of Network Bifurcations in the Functionalized Cahn-Hilliard Free Energy , 2015 .
[37] Matthew F. Causley,et al. Method of Lines Transpose: Energy Gradient Flows Using Direct Operator Inversion for Phase-Field Models , 2016, SIAM J. Sci. Comput..
[38] Zhonghua Qiao,et al. An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation , 2012 .
[39] Frank S Bates,et al. On the Origins of Morphological Complexity in Block Copolymer Surfactants , 2003, Science.
[40] Tao Tang,et al. An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models , 2011, SIAM J. Sci. Comput..
[41] Xiaofeng Yang,et al. Numerical Approximations for the Cahn–Hilliard Phase Field Model of the Binary Fluid-Surfactant System , 2017, Journal of Scientific Computing.
[42] Cheng Wang,et al. Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms , 2016, J. Comput. Phys..
[43] Axel Voigt,et al. A new phase-field model for strongly anisotropic systems , 2009, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[44] Xiaofeng Yang,et al. Convergence Analysis for the Invariant Energy Quadratization (IEQ) Schemes for Solving the Cahn–Hilliard and Allen–Cahn Equations with General Nonlinear Potential , 2020, J. Sci. Comput..
[45] Xiaofeng Yang,et al. Numerical approximations of Allen-Cahn and Cahn-Hilliard equations , 2010 .