Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition
KAUST Grant NumberUS00003
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AbstractA 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.
CitationVan 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.
SponsorsContract grant sponsor: DOE Multiscale Mathematics; contract grant number: DE-FG02-05ER25701Contract grant sponsor: KAUST; contract grant number: US00003