A novel energy-optimized technique of SAV-based (EOP-SAV) approaches for dissipative systems (Q6629215)

scientific article; zbMATH DE number 7935470

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English	A novel energy-optimized technique of SAV-based (EOP-SAV) approaches for dissipative systems	scientific article; zbMATH DE number 7935470

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instance of

scholarly article

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title

A novel energy-optimized technique of SAV-based (EOP-SAV) approaches for dissipative systems (English)

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Journal of Scientific Computing

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publication date

29 October 2024

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zbMATH Keywords

scalar auxiliary variable

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dissipative systems

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relaxation

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energy-optimal

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numerical examples

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MaRDI profile type

Publication

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cites work

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

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

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Applications of semi-implicit Fourier-spectral method to phase field equations

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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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A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

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

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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

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Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

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Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach

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Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions

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

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

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Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows

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Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations

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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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Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation

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Stabilization parameter analysis of a second-order linear numerical scheme for the nonlocal Cahn–Hilliard equation

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Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

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Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations

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Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable

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The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing

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The scalar auxiliary variable (SAV) approach for gradient flows

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

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

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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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Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

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A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity

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A generalized SAV approach with relaxation for dissipative systems

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Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10915-024-02677-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6629215