A generalized SAV approach with relaxation for dissipative systems (Q2672763)

scientific article; zbMATH DE number 7540356

Language	Label	Description	Also known as
English	A generalized SAV approach with relaxation for dissipative systems	scientific article; zbMATH DE number 7540356

Statements

instance of

scholarly article

0 references

title

A generalized SAV approach with relaxation for dissipative systems (English)

0 references

author

Yanyan Li

0 references

published in

Journal of Computational Physics

0 references

publication date

13 June 2022

0 references

full work available at URL

https://arxiv.org/abs/2201.12587

0 references

zbMATH Keywords

dissipative system

0 references

energy stability

0 references

error estimate

0 references

scalar auxiliary variable (SAV)

0 references

gradient flows

0 references

MaRDI profile type

Publication

0 references

cites work

Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

0 references

Structure-preserving Gauss methods for the nonlinear Schrödinger equation

0 references

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

0 references

Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

0 references

REMARKS ON THE ASYMPTOTIC BEHAVIOR OF SCALAR AUXILIARY VARIABLE (SAV) SCHEMES FOR GRADIENT-LIKE FLOWS

0 references

A new Lagrange multiplier approach for gradient flows

0 references

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

0 references

Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows

0 references

The phase field method for geometric moving interfaces and their numerical approximations

0 references

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

0 references

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

0 references

The Global Dynamics of Discrete Semilinear Parabolic Equations

0 references

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

0 references

Supplementary variable method for thermodynamically consistent partial differential equations

0 references

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

0 references

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

0 references

A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach

0 references

A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis

0 references

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

0 references

Multiplier techniques for linear multistep methods

0 references

gPAV-based unconditionally energy-stable schemes for the Cahn-Hilliard equation: stability and error analysis

0 references

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

0 references

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

0 references

The scalar auxiliary variable (SAV) approach for gradient flows

0 references

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

0 references

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

0 references

The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems

0 references

Infinite-dimensional dynamical systems in mechanics and physics.

0 references

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

0 references

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

0 references

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

0 references

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

0 references

Efficient and accurate numerical scheme for a magnetic-coupled phase-field-crystal model for ferromagnetic solid materials

0 references

A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model

0 references

Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

10.1016/J.JCP.2022.111311

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2672763