Error analysis of a pressure penalty scheme for the reformulated Ericksen-Leslie system with variable density
From MaRDI portal
Publication:6578111
DOI10.4208/aamm.oa-2023-0121MaRDI QIDQ6578111
Danxia Wang, Jianwen Zhang, Hongen Jia, Xin Zhang
Publication date: 24 July 2024
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Finite element approximation of nematic liquid crystal flows using a saddle-point structure
- Hydrostatic theory of liquid crystals
- Error analysis of a new fractional-step method for the incompressible Navier-Stokes equations with variable density
- Liquid crystal flows in two dimensions
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- Optimal error estimates of semi-implicit Galerkin method for time-dependent nematic liquid crystal flows
- Fast algorithm based on TT-M FE method for modified Cahn-Hilliard equation
- Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method
- Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities
- Global strong solution to the 2D density-dependent liquid crystal flows with vacuum
- An overview on numerical analyses of nematic liquid crystal flows
- An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics
- Some constitutive equations for liquid crystals
- Global existence and exponential decay of strong solutions to the 2D density-dependent nematic liquid crystal flows with vacuum
- Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals
- Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
- Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model
- Global strong solutions of the 2D simplified Ericksen–Leslie system
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model
- Finite Element Methods for Navier-Stokes Equations
- On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions
- Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System
- Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation
- A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential
- A Time-Splitting Finite-Element Stable Approximation for the Ericksen--Leslie Equations
- A representation formula of incompressible liquid crystal flow and its applications
- Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium
- A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation
- Error analysis of a unconditionally stable BDF2 finite element scheme for the incompressible flows with variable density
- Temporal error analysis of a new Euler semi-implicit scheme for the incompressible Navier-Stokes equations with variable density
This page was built for publication: Error analysis of a pressure penalty scheme for the reformulated Ericksen-Leslie system with variable density