Highly efficient, robust and unconditionally energy stable second order schemes for approximating the Cahn-Hilliard-Brinkman system
DOI10.1016/j.apnum.2024.03.001MaRDI QIDQ6549547
Chenhui Zhang, Peng Jiang, Hongen Jia, Liang Liu, Danxia Wang
Publication date: 4 June 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
unconditional energy stabilityadaptive time-stepping schemeCahn-Hilliard-Brinkman equationIMEX-SAV approach
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical analysis (65-XX) Parabolic equations and parabolic systems (35Kxx) Physiological, cellular and medical topics (92Cxx)
Cites Work
- An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- The scalar auxiliary variable (SAV) approach for gradient flows
- Cahn-Hilliard-Brinkman systems for tumour growth
- New efficient and unconditionally energy stable schemes for the Cahn-Hilliard-Brinkman system
- Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
- A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis
- 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
- Asymptotic analysis and error estimates of mixed finite element method for Brinkman model
- Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations
- Theoretical studies of phase-separation kinetics in a Brinkman porous medium
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
- A Second-Order Accurate Linearized Difference Scheme for the Two- Dimensional Cahn-Hilliard Equation
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
- Two SAV numerical methods for the nonlocal Cahn-Hilliard-Hele-Shaw system
- Existence of solutions to a Cahn-Hilliard system with two mobilities
- SAV Fourier-spectral method for diffuse-interface tumor-growth model
This page was built for publication: Highly efficient, robust and unconditionally energy stable second order schemes for approximating the Cahn-Hilliard-Brinkman system
