A least squares based finite volume method for the Cahn-Hilliard and Cahn-Hilliard-reaction equations
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[1] Guillermo Sapiro,et al. Fourth order partial differential equations on general geometries , 2006, J. Comput. Phys..
[2] A. Yamada,et al. Experimental visualization of lithium diffusion in LixFePO4. , 2008, Nature materials.
[3] Yan Xu,et al. Local discontinuous Galerkin methods for the Cahn-Hilliard type equations , 2007, J. Comput. Phys..
[4] B. Vollmayr-Lee,et al. Fast and accurate coarsening simulation with an unconditionally stable time step. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[5] Åke Björck,et al. Numerical methods for least square problems , 1996 .
[6] S. Patankar. Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.
[7] Ian Turner,et al. A second order finite volume technique for simulating transport in anisotropic media , 2003 .
[8] Mehdi Dehghan,et al. A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn–Hilliard equation , 2009 .
[9] Steven Dargaville,et al. Predicting Active Material Utilization in LiFePO4 Electrodes Using a Multiscale Mathematical Model , 2010 .
[10] Arturo Pacheco-Vega,et al. Numerical Simulations of Heat Transfer and Fluid Flow Problems Using an Immersed-Boundary Finite-Volume Method on NonStaggered Grids , 2005 .
[11] F. Navarrina,et al. High‐order finite volume schemes on unstructured grids using moving least‐squares reconstruction. Application to shallow water dynamics , 2006 .
[12] Martin Z Bazant,et al. Theory of chemical kinetics and charge transfer based on nonequilibrium thermodynamics. , 2012, Accounts of chemical research.
[13] Venkat Srinivasan,et al. Discharge Model for the Lithium Iron-Phosphate Electrode , 2004 .
[14] Damian Burch,et al. Size-dependent spinodal and miscibility gaps for intercalation in nanoparticles. , 2009, Nano letters.
[15] I. Turner,et al. Error Bounds for Least Squares Gradient Estimates , 2010, SIAM J. Sci. Comput..
[16] Daniel A. Cogswell,et al. Theory of coherent nucleation in phase-separating nanoparticles. , 2013, Nano letters.
[17] M. H. Everdell. Introduction to Chemical Thermodynamics , 1965 .
[18] K. S. Nanjundaswamy,et al. Phospho‐olivines as Positive‐Electrode Materials for Rechargeable Lithium Batteries , 1997 .
[19] S. M. Choo,et al. Conservative nonlinear difference scheme for the Cahn-Hilliard equation—II , 1998 .
[20] Yunxian Liu,et al. A class of stable spectral methods for the Cahn-Hilliard equation , 2009, J. Comput. Phys..
[21] Gianluca Iaccarino,et al. IMMERSED BOUNDARY METHODS , 2005 .
[22] E. Mello,et al. Numerical study of the Cahn–Hilliard equation in one, two and three dimensions , 2004, cond-mat/0410772.
[23] Lloyd N. Trefethen,et al. Fourth-Order Time-Stepping for Stiff PDEs , 2005, SIAM J. Sci. Comput..
[24] J. Hoffman. Numerical Methods for Engineers and Scientists , 2018 .
[25] Carol S. Woodward,et al. Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers , 2020, ACM Trans. Math. Softw..
[26] Rajat Mittal,et al. A sharp interface immersed boundary method for compressible viscous flows , 2007, J. Comput. Phys..
[27] Takashi Ida,et al. Isolation of Solid Solution Phases in Size‐Controlled LixFePO4 at Room Temperature , 2009 .
[28] M ChooS,et al. Cahn‐Hilliad方程式に関する保存型非線形差分スキーム‐II , 2000 .
[29] J. Lowengrub,et al. Conservative multigrid methods for Cahn-Hilliard fluids , 2004 .
[30] P. Sweby. High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , 1984 .
[31] D. J. Eyre. Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation , 1998 .
[32] Charles Delacourt,et al. Study of the LiFePO4/FePO4 Two-Phase System by High-Resolution Electron Energy Loss Spectroscopy , 2006 .
[33] J. Crank. Free and moving boundary problems , 1984 .
[34] Yinnian He,et al. On large time-stepping methods for the Cahn--Hilliard equation , 2007 .
[35] Damian Burch,et al. Intercalation dynamics in lithium-ion batteries , 2009 .
[36] James M. Hyman,et al. High order finite volume approximations of differential operators on nonuniform grids , 1992 .
[37] Timothy A. Davis,et al. Algorithm 915, SuiteSparseQR: Multifrontal multithreaded rank-revealing sparse QR factorization , 2011, TOMS.
[38] Jaime Peraire,et al. A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto-Sivashinsky equations , 2008, J. Comput. Phys..
[39] Martin Z. Bazant,et al. Intercalation dynamics in rechargeable battery materials : General theory and phase-transformation waves in LiFePO4 , 2008 .
[40] Ming Wang,et al. A nonconforming finite element method for the Cahn-Hilliard equation , 2010, J. Comput. Phys..
[41] E. Bertolazzi,et al. A unified treatment of boundary conditions in least-square based finite-volume methods , 2005 .
[42] Carl D. Meyer,et al. Matrix Analysis and Applied Linear Algebra , 2000 .
[43] Ian Turner,et al. On derivative estimation and the solution of least squares problems , 2008 .
[44] Robert Nürnberg,et al. Adaptive finite element methods for Cahn-Hilliard equations , 2008 .
[45] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .
[46] Gene H. Golub,et al. Matrix computations , 1983 .