Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
DOI10.1016/j.jcp.2022.110954OpenAlexW3155529219MaRDI QIDQ2133770
Maosheng Jiang, Jia Zhao, Zengyan Zhang
Publication date: 5 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.06620
relaxation techniquephase field modelsenergy stablescalar auxiliary variable (SAV)gradient flow system
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)
Related Items (44)
Cites Work
- Unnamed Item
- Unnamed Item
- Finite element approximation of nematic liquid crystal flows using a saddle-point structure
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- Unconditionally stable schemes for equations of thin film epitaxy
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach
- Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations
- A variant of scalar auxiliary variable approaches for gradient flows
- A revisit of the energy quadratization method with a relaxation technique
- Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- Numerical approximation of a phase-field surfactant model with fluid flow
- A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
- Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models
- On linear schemes for a Cahn-Hilliard diffuse interface model
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case
- Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
- Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
- A diffuse-interface method for simulating two-phase flows of complex fluids
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation
- Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
- A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows
- A diffuse domain method for two-phase flows with large density ratio in complex geometries
- A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection
- A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach
- Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations
- Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Energy stability and convergence of SAV block-centered finite difference method for gradient flows
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
- Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models
- Variational formulation for the lubrication approximation of the Hele-Shaw flow
- A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model
This page was built for publication: Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation