Spectral deferred correction method for Landau-Brazovskii model with convex splitting technique

DOI10.1016/j.jcp.2023.112348arXiv2212.05807OpenAlexW4384460020MaRDI QIDQ6095082

Lei Zhang, Donghang Zhang

Publication date: 27 November 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05807

zbMATH Keywords

mass conservationenergy stabilityconvex splittingspectral deferred correction methodLandau-Brazovskii modeladaptive correction strategy

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Applications of statistical mechanics to specific types of physical systems (82Dxx)

Cites Work

• Unnamed Item
• Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
• Numerical methods for quasicrystals
• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
• An efficient numerical method of Landau-Brazovskii model
• Applications of semi-implicit Fourier-spectral method to phase field equations
• Spectral deferred correction methods for ordinary differential equations
• Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
• A second order energy stable linear scheme for a thin film model without slope selection
• A linear energy stable scheme for a thin film model without slope selection
• A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
• Searching the solution landscape by generalized high-index saddle dynamics
• On the convergence of spectral deferred correction methods
• Adaptive restart for accelerated gradient schemes
• Semi-implicit spectral deferred correction methods for ordinary differential equations
• Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
• Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
• Spectral Methods
• An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
• Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
• An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
• Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations
• Nonlocal reaction—diffusion equations and nucleation
• Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
• Transition pathways in Cylinder-Gyroid interface
• Error Analysis of SAV Finite Element Method to Phase Field Crystal Model
• Efficient Numerical Methods for Computing the Stationary States of Phase Field Crystal Models
• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
• High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points
• Discovery of New Metastable Patterns in Diblock Copolymers
• A simple and efficient scheme for phase field crystal simulation
• Modelling and computation of liquid crystals

This page was built for publication: Spectral deferred correction method for Landau-Brazovskii model with convex splitting technique