Convergence to equilibrium of solutions of the backward Euler scheme for asymptotically autonomous second-order gradient-like systems

DOI10.3934/CPAA.2012.11.2393zbMath1264.65119OpenAlexW2335201328MaRDI QIDQ1951384

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.2393

zbMATH Keywords

Łojasiewicz inequality proximal method backward Euler scheme gradient-like systems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (9)

Well-posedness and long-time behavior for the modified phase-field crystal equation ⋮ Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities ⋮ Fast optimization via inertial dynamics with closed-loop damping ⋮ CONVERGENCE TO EQUILIBRIUM FOR A TIME SEMI-DISCRETE DAMPED WAVE EQUATION ⋮ A splitting method for the Allen-Cahn/Cahn-Hilliard system coupled with heat equation based on Maxwell-Cattaneo law ⋮ Gradient stability of high-order BDF methods and some applications ⋮ Energy stable and convergent finite element schemes for the modified phase field crystal equation ⋮ Maximum time step for high order BDF methods applied to gradient flows ⋮ Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation

This page was built for publication: Convergence to equilibrium of solutions of the backward Euler scheme for asymptotically autonomous second-order gradient-like systems