Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation (Q2133770)

scientific article; zbMATH DE number 7518095

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English	Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation	scientific article; zbMATH DE number 7518095

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instance of

scholarly article

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title

Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation (English)

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Journal of Computational Physics

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publication date

5 May 2022

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full work available at URL

https://arxiv.org/abs/2104.06620

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zbMATH Keywords

scalar auxiliary variable (SAV)

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energy stable

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phase field models

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gradient flow system

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relaxation technique

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MaRDI profile type

Publication

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cites work

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Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations

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Finite element approximation of nematic liquid crystal flows using a saddle-point structure

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Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation

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A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

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A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability

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Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

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Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach

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High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation

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Error analysis of a mixed finite element method for the Cahn-Hilliard equation

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Variational formulation for the lubrication approximation of the Hele-Shaw flow

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Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models

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On linear schemes for a Cahn-Hilliard diffuse interface model

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A variant of scalar auxiliary variable approaches for gradient flows

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A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

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A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model

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Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

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Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

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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

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Energy stability and convergence of SAV block-centered finite difference method for gradient flows

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Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations

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Q3538713

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A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach

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Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Unconditionally stable schemes for equations of thin film epitaxy

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An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

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Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models

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Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method

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A revisit of the energy quadratization method with a relaxation technique

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Numerical approximation of a phase-field surfactant model with fluid flow

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2022.110954

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Sitelinks

Mathematics(1 entry)

mardi Publication:2133770