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

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    Type
    Article
    Authors
    van der Zee, Kristoffer G.
    Tinsley Oden, J.
    Prudhomme, Serge
    Hawkins-Daarud, Andrea
    KAUST Grant Number
    US00003
    Date
    2010-10-27
    Online Publication Date
    2010-10-27
    Print Publication Date
    2011-01
    Permanent link to this record
    http://hdl.handle.net/10754/598419
    
    Metadata
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    Abstract
    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. © 2010 Wiley Periodicals, Inc.
    Citation
    Van der Zee KG, Tinsley Oden J, Prudhomme S, Hawkins-Daarud A (2010) Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition. Numerical Methods for Partial Differential Equations 27: 160–196. Available: http://dx.doi.org/10.1002/num.20638.
    Sponsors
    Contract grant sponsor: DOE Multiscale Mathematics; contract grant number: DE-FG02-05ER25701Contract grant sponsor: KAUST; contract grant number: US00003
    Publisher
    Wiley
    Journal
    Numerical Methods for Partial Differential Equations
    DOI
    10.1002/num.20638
    ae974a485f413a2113503eed53cd6c53
    10.1002/num.20638
    Scopus Count
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    Publications Acknowledging KAUST Support

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