We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Analysis of a time discretization scheme for a nonstandard viscous Cahn–Hilliard system.
- Authors
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
- Abstract
In this paper we propose a time discretization of a system of two parabolic equations describing diffusion-driven atom rearrangement in crystalline matter. The equations express the balances of microforces and microenergy; the two phase fields are the order parameter and the chemical potential. The initial and boundary-value problem for the evolutionary system is known to be well posed. Convergence of the discrete scheme to the solution of the continuous problem is proved by a careful development of uniform estimates, by weak compactness and a suitable treatment of nonlinearities. Moreover, for the difference of discrete and continuous solutions we prove an error estimate of order one with respect to the time step.
- Subjects
CAHN-Hilliard-Cook equation; DISCRETIZATION methods; BOUNDARY value problems; STOCHASTIC convergence; NUMERICAL analysis
- Publication
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2014, Vol 48, Issue 4, p1061
- ISSN
2822-7840
- Publication type
Article
- DOI
10.1051/m2an/2014005