A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system
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Publication:2133508
DOI10.1016/j.jcp.2021.110703OpenAlexW3094304142WikidataQ115571339 ScholiaQ115571339MaRDI QIDQ2133508
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.11728
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)
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Cites Work
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Efficient energy stable numerical schemes for a phase field moving contact line model
- Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy
- On large time-stepping methods for the Cahn-Hilliard equation
- Computation of dendrites using a phase field model
- Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- First and second order numerical methods based on a new convex splitting for phase-field crystal equation
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- The scalar auxiliary variable (SAV) approach for gradient flows
- Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
- Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach
- Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- A review on phase-field models of brittle fracture and a new fast hybrid formulation
- Generalized SAV approaches for gradient systems
- A new Lagrange multiplier approach for gradient flows
- Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
- Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity
- Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation
- An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
- A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
- 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
- Margination of white blood cells: a computational approach by a hydrodynamic phase field 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
- A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects
- An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation
- A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Analysis and Approximation of a Fractional Cahn--Hilliard Equation
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
- 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 Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Energy stability and convergence of SAV block-centered finite difference method for gradient flows
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