Energy-stable second-order linear schemes for the Allen-Cahn phase-field equation

DOI10.4310/CMS.2019.V17.N3.A2zbMath1426.65140arXiv1807.03171OpenAlexW3102241002WikidataQ127302810 ScholiaQ127302810MaRDI QIDQ2272582

Lin Wang, Hai-jun Yu

Publication date: 10 September 2019

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

Full work available at URL: https://arxiv.org/abs/1807.03171

zbMATH Keywords

error estimatesecond-order schemeAllen-Cahn equationstabilized semi-implicit schemeenergy-stable

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (3)

An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow ⋮ Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation ⋮ On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

This page was built for publication: Energy-stable second-order linear schemes for the Allen-Cahn phase-field equation