Numerical analysis of stabilized second order semi-implicit finite element methods for the phase-field equations

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

Unnamed Item
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities
A class of stable spectral methods for the Cahn-Hilliard equation
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
On large time-stepping methods for the Cahn-Hilliard equation
Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
Applications of semi-implicit Fourier-spectral method to phase field equations
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
Numerical approximations for a phase-field moving contact line model with variable densities and viscosities
The scalar auxiliary variable (SAV) approach for gradient flows
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation
A phase-field method for interface-tracking simulation of two-phase flows
A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow
A nonconforming finite element method for the Cahn-Hilliard equation
Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow
Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
Numerical Analysis of a Continuum Model of Phase Transition
The Global Dynamics of Discrete Semilinear Parabolic Equations
Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term
Phase-Field Models for Multi-Component Fluid Flows
An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation
A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation
Free Energy of a Nonuniform System. I. Interfacial Free Energy
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
A posteriorierror control for the Allen–Cahn problem: circumventing Gronwall's inequality
Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights
Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
Galerkin Finite Element Methods for Parabolic Problems
Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation
Two-Phase Image Segmentation by the Allen-Cahn Equation and a Nonlocal Edge Detection Operator
A stable and conservative finite difference scheme for the Cahn-Hilliard equation

This page was built for publication: Numerical analysis of stabilized second order semi-implicit finite element methods for the phase-field equations