Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition
| dc.contributor.author | van der Zee, Kristoffer G. | |
| dc.contributor.author | Tinsley Oden, J. | |
| dc.contributor.author | Prudhomme, Serge | |
| dc.contributor.author | Hawkins-Daarud, Andrea | |
| dc.date.accessioned | 2016-02-25T13:20:24Z | |
| dc.date.available | 2016-02-25T13:20:24Z | |
| dc.date.issued | 2010-10-27 | |
| dc.identifier.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. | |
| dc.identifier.issn | 0749-159X | |
| dc.identifier.doi | 10.1002/num.20638 | |
| dc.identifier.uri | http://hdl.handle.net/10754/598419 | |
| dc.description.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. | |
| dc.description.sponsorship | Contract grant sponsor: DOE Multiscale Mathematics; contract grant number: DE-FG02-05ER25701Contract grant sponsor: KAUST; contract grant number: US00003 | |
| dc.publisher | Wiley | |
| dc.subject | a posteriori error estimation | |
| dc.subject | Cahn-Hilliard | |
| dc.subject | diffuse interface | |
| dc.subject | dual Cahn-Hilliard | |
| dc.subject | dual well-posedness | |
| dc.subject | error-residual equivalence | |
| dc.subject | goal-oriented error analysis | |
| dc.subject | linearized adjoint | |
| dc.subject | quantities of interest | |
| dc.title | Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition | |
| dc.type | Article | |
| dc.identifier.journal | Numerical Methods for Partial Differential Equations | |
| dc.contributor.institution | University of Texas at Austin, Austin, United States | |
| kaust.grant.number | US00003 | |
| dc.date.published-online | 2010-10-27 | |
| dc.date.published-print | 2011-01 |