Accuracy and consistency of the explicit-invariant energy quadratization approach for the Cahn-Hilliard equation (Q6671987): Difference between revisions

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scientific article; zbMATH DE number 7975429

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English	Accuracy and consistency of the explicit-invariant energy quadratization approach for the Cahn-Hilliard equation	scientific article; zbMATH DE number 7975429

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instance of

scholarly article

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title

Accuracy and consistency of the explicit-invariant energy quadratization approach for the Cahn-Hilliard equation (English)

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Journal of Mathematical Research with Applications

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publication date

27 January 2025

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zbMATH Keywords

Cahn-Hilliard equation

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EIEQ

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unconditionally energy stable

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fully decoupled

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relaxation technique

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MaRDI profile type

Publication

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cites work

Free Energy of a Nonuniform System. I. Interfacial Free Energy

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The Cahn–Hilliard Equation: Recent Advances and Applications

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

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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The Global Dynamics of Discrete Semilinear Parabolic Equations

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

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Q3538713

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

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Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals

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Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

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Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model

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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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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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

0 references

Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations

0 references

A revisit of the energy quadratization method with a relaxation technique

0 references

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

0 references

Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure

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Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model

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Efficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesicles

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Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model

0 references

A generalized SAV approach with relaxation for dissipative systems

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Totally decoupled implicit-explicit linear scheme with corrected energy dissipation law for the phase-field fluid vesicle model

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Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows

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Explicit exactly energy-conserving methods for Hamiltonian systems

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Identifiers

DOI

10.3770/j.issn:2095-2651.2025.01.008

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6671987

@@ Property / cites work @@
+Free Energy of a Nonuniform System. I. Interfacial Free Energy
+Normal rank
@@ Property / cites work @@
+The Cahn–Hilliard Equation: Recent Advances and Applications
+Normal rank
@@ Property / cites work @@
+Applications of semi-implicit Fourier-spectral method to phase field equations
+Normal rank
@@ Property / cites work @@
+Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
+Normal rank
@@ Property / cites work @@
+The Global Dynamics of Discrete Semilinear Parabolic Equations
+Normal rank
@@ Property / cites work @@
+An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
+Normal rank
@@ Property / cites work @@
+Q3538713
@@ Property / cites work: Q3538713 / rank @@
+Normal rank
@@ Property / cites work @@
+Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
+Normal rank
@@ Property / cites work @@
+Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation
+Normal rank
@@ Property / cites work @@
+Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
+Normal rank
@@ Property / cites work @@
+A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
+Normal rank
@@ Property / cites work @@
+Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
+Normal rank
@@ Property / cites work @@
+Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
+Normal rank
@@ Property / cites work @@
+The scalar auxiliary variable (SAV) approach for gradient flows
+Normal rank
@@ Property / cites work @@
+A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
+Normal rank
@@ Property / cites work @@
+Convergence and Error Analysis for the  Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
+Normal rank
@@ Property / cites work @@
+The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
+Normal rank
@@ Property / cites work @@
+Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations
+Normal rank
@@ Property / cites work @@
+A revisit of the energy quadratization method with a relaxation technique
+Normal rank
@@ Property / cites work @@
+Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
+Normal rank
@@ Property / cites work @@
+Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure
+Normal rank
@@ Property / cites work @@
+Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model
+Normal rank
@@ Property / cites work @@
+Efficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesicles
+Normal rank
@@ Property / cites work @@
+Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model
+Normal rank
@@ Property / cites work @@
+A generalized SAV approach with relaxation for dissipative systems
+Normal rank
@@ Property / cites work @@
+Totally decoupled implicit-explicit linear scheme with corrected energy dissipation law for the phase-field fluid vesicle model
+Normal rank
@@ Property / cites work @@
+Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows
+Normal rank
@@ Property / cites work @@
+Explicit exactly energy-conserving methods for Hamiltonian systems
+Normal rank