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

DOI10.1137/21M1446496WikidataQ115525498 ScholiaQ115525498MaRDI QIDQ5096447

Xiao Li, Lili Ju, ZhongHua Qiao

Publication date: 17 August 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04532

zbMATH Keywords

exponential integratorscalar auxiliary variablemaximum bound principleenergy dissipation lawsecond-order linear scheme

Mathematics Subject Classification ID

Related Items (18)

An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory ⋮ SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions ⋮ A general class of linear unconditionally energy stable schemes for the gradient flows ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ On convergence of a novel linear conservative scheme for the two-dimensional fractional nonlinear Schrödinger equation with wave operator ⋮ An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg–Landau Equations under the Temporal Gauge ⋮ A linear adaptive second‐order backward differentiation formulation scheme for the phase field crystal equation ⋮ Second-order semi-Lagrangian exponential time differencing method with enhanced error estimate for the convective Allen-Cahn equation ⋮ A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion ⋮ Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility ⋮ Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation ⋮ Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation ⋮ Energy dissipation-preserving GSAV-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions ⋮ Spatio‐temporal scalar auxiliary variable approach for the nonlinear convection–diffusion equation with discontinuous Galerkin method ⋮ A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations ⋮ Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions

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