Cover Image

Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hou, Dianming, Li, Xiaoli, Qiao, Zhonghua, Zheng, Nan
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
by: Hou, Dianming, et al.
Published: (2025)

Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation
by: Li, Xiao, et al.
Published: (2024)

Energy dissipation law and maximum bound principle-preserving linear BDF2 schemes with variable steps for the Allen-Cahn equation
by: Zhang, Bingyin, et al.
Published: (2025)

Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions
by: Liu, Zhengguang, et al.
Published: (2025)

On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation
by: Li, Xiaoli, et al.
Published: (2024)

Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
by: Fu, Hongfei, et al.
Published: (2025)

A unified framework of fully decoupled, bound-preserving and energy-dissipative schemes for two-phase flow in porous media
by: Li, Xiaoli, et al.
Published: (2026)

Error estimate for the first order energy stable scheme of Q-tensor nematic model
by: Huang, Jin, et al.
Published: (2024)

Maximum bound principle for Q-tensor gradient flow with low regularity integrators
by: Hu, Wenshuai, et al.
Published: (2025)

Regularized lattice Boltzmann method based maximum principle and energy stability preserving finite-difference scheme for the Allen-Cahn equation
by: Chen, Ying, et al.
Published: (2023)

Convergence and stability analysis of energy stable and bound‐preserving numerical schemes for binary fluid‐surfactant phase‐field equations
by: Jiayi Duan, et al.
Published: (2024)

Maximum bound principle preserving and energy decreasing exponential time differencing schemes for the matrix-valued Allen-Cahn equation
by: Liu, Yaru, et al.
Published: (2023)

Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows
by: Liu, Qianqian, et al.
Published: (2025)

An efficient and stable diffusion generated method for quadrilateral mesh generation in general domains
by: Dai, Jingwen, et al.
Published: (2026)

A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations
by: Gao, Yali, et al.
Published: (2024)

Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model
by: Qiao, Zhonghua, et al.
Published: (2022)

Robust superconvergence analysis of physics-preserving RMAC scheme for the Stokes and Navier--Stokes equations on non-uniform grids at high Reynolds numbers
by: Li, Binghong, et al.
Published: (2025)

Maximum Bound Principle and Bound Preserving ETD schemes for a Phase-Field Model of Tumor Growth with Extracellular Matrix Degradation
by: Huang, Qiumei, et al.
Published: (2025)

Novel linear, decoupled, and energy dissipative schemes for the Navier-Stokes-Darcy model and extension to related two-phase flow
by: Li, Xiaoli, et al.
Published: (2026)

Linear, decoupled, positivity preserving, positive-definiteness preserving and energy stable schemes for the diffusive Oldroyd-B coupled with PNP model
by: Zhu, Wenxing, et al.
Published: (2025)

On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance
by: Liu, Chun, et al.
Published: (2024)

Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density
by: Espinoza-Contreras, Nicolás, et al.
Published: (2024)

Structure-preserving, weighted implicit-explicit schemes for multi-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model
by: Li, Meng, et al.
Published: (2024)

Invariant-region-preserving WENO schemes for one-dimensional multispecies kinematic flow models
by: Barajas-Calonge, Juan, et al.
Published: (2025)

High-order, long-time stable and parallel decoupled GBDF$k$ SAV ensemble schemes for the Navier--Stokes--Darcy flow with random hydraulic conductivity tensors
by: Han, Wei-Wei, et al.
Published: (2026)

A fully segregated and unconditionally stable IMEX scheme for dispersed multiphase flows
by: Pacheco, Douglas, et al.
Published: (2025)

Unconditionally local bounds preserving numerical scheme based on inverse Lax-Wendroff procedure for advection on networks
by: Frolkovič, Peter, et al.
Published: (2025)

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach
by: Li, Ruo, et al.
Published: (2025)

Second order divergence constraint preserving schemes for two-fluid relativistic plasma flow equations
by: Agnihotri, Jaya, et al.
Published: (2025)

Maximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge-Kutta schemes for Allen--Cahn equations
by: Quan, Chaoyu, et al.
Published: (2024)

A class of positive-preserving,energy stable and high order numerical schemes for the Poission-Nernst-Planck system
by: Cao, Waixiang, et al.
Published: (2025)

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations
by: Fang, Zexiong, et al.
Published: (2024)

Unconditionally stable Gauge-Uzawa finite element schemes for the chemo-repulsion-Navier-Stokes system
by: Li, Chenyang, et al.
Published: (2025)

A novel Lagrange Multiplier approach with relaxation for gradient flows
by: Liu, Zhengguang, et al.
Published: (2022)

Energy stable auxiliary variable method for Cahn--Hilliard equations
by: Xie, Fei, et al.
Published: (2026)

Weak maximum principle of finite element methods for parabolic equations in polygonal domains
by: Bai, Genming, et al.
Published: (2024)

Asymptotic preserving schemes for hyperbolic systems with relaxation
by: Mahmoud, C, et al.
Published: (2025)

Positive-preserving, mass conservative linear schemes for the Possion-Nernst-Planck equations
by: Li, Jiayin, et al.
Published: (2025)

Global-in-time energy stability: a powerful analysis tool for the gradient flow problem without maximum principle or Lipschitz assumption
by: Sun, J., et al.
Published: (2024)

On the maximum bound principle and energy dissipation of exponential time differencing methods for the chiral liquid crystal blue phases
by: Hu, Wenshuai, et al.
Published: (2025)