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On a novel full decoupling, linear, second‐order accurate, and unconditionally energy stable numerical scheme for the anisotropic phase‐field dendritic crystal growth model

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Computational Phase‐Field Modeling

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Thermodynamically consistent time‐stepping algorithms for non‐linear thermomechanical systems

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Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

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A novel fully decoupled scheme with second‐order time accuracy and unconditional energy stability for the Navier‐Stokes equations coupled with mass‐conserved Allen‐Cahn phase‐field model of two‐phase incompressible flow

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A Projection FEM for Variable Density Incompressible Flows

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Multiscale Finite-Difference-Diffusion-Monte-Carlo Method for Simulating Dendritic Solidification

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Spectral Methods: Algorithms, Analysis and Applications

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Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

inferredcites →https://doi.org/10.1016/0167-2789(93)90120-popenalex-snapshot

Modeling and numerical simulations of dendritic crystal growth

inferredcites →https://doi.org/10.1016/0167-2789(93)90189-8openalex-snapshot

Thermodynamically-consistent phase-field models for solidification

inferredcites →https://doi.org/10.1016/0956-7151(94)00285-popenalex-snapshot

Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method

inferredcites →https://doi.org/10.1016/j.aml.2019.03.029openalex-snapshot

A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model

inferredcites →https://doi.org/10.1016/j.aml.2019.05.029openalex-snapshot

A linear energy and entropy-production-rate preserving scheme for thermodynamically consistent crystal growth models

inferredcites →https://doi.org/10.1016/j.cma.2008.05.003openalex-snapshot

Isogeometric analysis of the Cahn–Hilliard phase-field model

inferredcites →https://doi.org/10.1016/j.cma.2016.06.011openalex-snapshot

A diffuse interface model for two-phase ferrofluid flows

inferredcites →https://doi.org/10.1016/j.cma.2018.12.012openalex-snapshot

Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model

inferredcites →https://doi.org/10.1016/j.cma.2019.03.030openalex-snapshot

Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn–Hilliard Model

inferredcites →https://doi.org/10.1016/j.cma.2019.112779openalex-snapshot

A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model

inferredcites →https://doi.org/10.1016/j.cma.2020.113502openalex-snapshot

A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen–Cahn type flow-coupled binary surfactant model

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A new efficient fully-decoupled and second-order time-accurate scheme for Cahn–Hilliard phase-field model of three-phase incompressible flow

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Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme

inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2008.09.014openalex-snapshot

Adaptive phase field simulation of dendritic crystal growth in a forced flow: 2D vs 3D morphologies

inferredcites →https://doi.org/10.1016/j.jcp.2008.12.036openalex-snapshot

A splitting method for incompressible flows with variable density based on a pressure Poisson equation

inferredcites →https://doi.org/10.1016/j.jcp.2009.04.020openalex-snapshot

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

inferredcites →https://doi.org/10.1016/j.jcp.2015.02.046openalex-snapshot

A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn–Hilliard–Navier–Stokes equation

inferredcites →https://doi.org/10.1016/j.jcp.2016.09.029openalex-snapshot

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

inferredcites →https://doi.org/10.1016/j.jcp.2018.12.033openalex-snapshot

Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models

inferredcites →https://doi.org/10.1016/j.jcp.2020.110015openalex-snapshot

A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model

inferredcites →https://doi.org/10.1016/s0010-4655(97)00115-xopenalex-snapshot

Applications of semi-implicit Fourier-spectral method to phase field equations

inferredcites →https://doi.org/10.1080/10586458.1994.10504577openalex-snapshot

A Numerical Approach to Three-Dimensional Dendritic Solidification

inferredcites →https://doi.org/10.1090/conm/754/15147openalex-snapshot

The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems

inferredcites →https://doi.org/10.1103/physrevb.10.139openalex-snapshot

Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation

inferredcites →https://doi.org/10.1103/physrevb.31.6119openalex-snapshot

Diffuse interface model of diffusion-limited crystal growth

inferredcites →https://doi.org/10.1103/physreve.57.4323openalex-snapshot

Quantitative phase-field modeling of dendritic growth in two and three dimensions

inferredcites →https://doi.org/10.1103/physreve.60.3614openalex-snapshot

Phase-field model of dendritic sidebranching with thermal noise

inferredcites →https://doi.org/10.1103/physreve.88.052409openalex-snapshot

Phase-field modeling of two-dimensional crystal growth with anisotropic diffusion

inferredcites →https://doi.org/10.1103/physrevlett.92.245510openalex-snapshot

Unsteady Crack Motion and Branching in a Phase-Field Model of Brittle Fracture

inferredcites →https://doi.org/10.1134/1.568330openalex-snapshot

Deformation and instability of nematic drops in an external electric field

inferredcites →https://doi.org/10.1137/0728069openalex-snapshot

Numerical Analysis of a Continuum Model of Phase Transition

inferredcites →https://doi.org/10.1137/09075860xopenalex-snapshot

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

inferredcites →https://doi.org/10.1137/130921593openalex-snapshot

Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids

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Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach

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THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES

inferredcites →https://doi.org/10.1142/s0218202513500474openalex-snapshot

A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES

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Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation

inferredcites →https://doi.org/10.3934/dcds.2010.28.1669openalex-snapshot

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

inferredcites →https://doi.org/10.4236/wjm.2014.45015openalex-snapshot

Numerical Simulation of Two-Dimensional Dendritic Growth Using Phase-Field Model

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Semi-implicit low-stage deferred correction methods for the anisotropic phase-field dendritic crystal growth model

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Subdivision-based IGA Coupled EIEQ Method for the Cahn–Hilliard Phase-Field Model of Homopolymer Blends on Complex Surfaces

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Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model

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Optimal rate convergence analysis of a numerical scheme for the ternary Cahn–Hilliard system with a Flory–Huggins–deGennes energy potential

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