Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation

DOI10.4310/CMS.2022.v20.n5.a9zbMath1489.65124arXiv2104.11813MaRDI QIDQ2149204

Yanyan Li

Publication date: 28 June 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11813

zbMATH Keywords

monotonicitydiscrete maximum principleincompressible flowhigh order accuracyphase field equationsbound-preserving

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations ⋮ Structure preserving schemes for Fokker-Planck equations of irreversible processes ⋮ A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations ⋮ Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation ⋮ Numerical analysis of a linear second-order finite difference scheme for space-fractional Allen-Cahn equations

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