Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition

K.G. Zee, van der, J.T. Oden, S. Prudhomme, A. Hawkins-Daarud

    Research output: Contribution to journalArticleAcademicpeer-review

    19 Citations (Scopus)
    1 Downloads (Pure)


    A posteriori estimates of errors in quantities of interest are developed for the nonlinear system of evolution equations embodied in the Cahn–Hilliard model of binary phase transition. These involve the analysis of wellposedness of dual backward-in-time problems and the calculation of residuals. Mixed finite element approximations are developed and used to deliver numerical solutions of representative problems in one- and two-dimensional domains. Estimated errors are shown to be quite accurate in these numerical examples.
    Original languageEnglish
    Pages (from-to)160-196
    JournalNumerical Methods for Partial Differential Equations
    Issue number1
    Publication statusPublished - 2010


    Dive into the research topics of 'Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition'. Together they form a unique fingerprint.

    Cite this