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  • 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.
  • 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. (en)
Title
  • Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
  • Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system (en)
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  • Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
  • Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system (en)
skos:notation
  • RIV/67985840:_____/14:00430395!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita
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  • I, P(GAP201/10/2315)
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  • 4
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  • 2614
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  • RIV/67985840:_____/14:00430395
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  • Cahn-Hillard equation; convergence; error estimates (en)
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  • FR - Francouzská republika
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  • [4706B6049179]
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  • E S A I M: Mathematical Modelling and Numerical Analysis
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  • 48
http://linked.open...iv/tvurceVysledku
  • Colli, P.
  • Krejčí, Pavel
  • Sprekels, J.
  • Podio-Guidugli, P.
  • Gilardi, G.
http://linked.open...ain/vavai/riv/wos
  • 000338931500006
issn
  • 0764-583X
number of pages
http://bibframe.org/vocab/doi
  • 10.1051/m2an/2014005
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