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

Kristoffer G. van der Zee, J. Tinsley Oden, Serge Prudhomme, Andrea Hawkins-Daarud

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)160-196
Number of pages37
JournalNumerical Methods for Partial Differential Equations
Volume27
Issue number1
DOIs
StatePublished - Oct 27 2010
Externally publishedYes

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