Burman, ErikPicasso, Marco2006-08-242006-08-242006-08-24200310.4171/IFB/74https://infoscience.epfl.ch/handle/20.500.14299/233722WOS:0001833994000013828We compute solutions of solutal phase-field models for dendritic growth of an isothermal binary alloy using anisotropic mesh refinement techniques. The adaptive strategy is based on anisotropic a posteriori estimators using a superconvergent recovery technique in the form of the Zienkiewicz-Zhu error estimator. The phase-field model contains an anisotropic strongly nonlinear second order operator modelling the dendritic branches; this strong nonlinearity is included in the a posteriori error estimators by using a monotonicity result. The monotonicity holds for phase-field anisotropy below a certain threshold value beyond which there are no known well-posedness results. We present computational results for both regimes showing the performance of the proposed method.PHASE-FIELD MODELBINARY ALLOYSOLIDIFICATION PROCESSERRORESTIMATIONtext::journal::journal article::research article