Bermúdez de Castro López-Varela, AlfredoLeira, RocíoMuñiz Castiñeira, María del CarmenPena Brage, Francisco José2025-05-232025-05-232006-06-01Finite Elements in Analysis and Design Volume 42, Issue 10, June 2006, Pages 809-8200168-874Xhttps://hdl.handle.net/10347/41764The objective of this work is to present and numerically solve a mathematical model for the thermal behavior of a casting ladle devoted to purification of silicon. A nonlinear and non-local boundary condition is considered for radiative heat transfer in an inner closed cavity of the domain. We also propose a numerical approximation using a finite element method. An iterative algorithm and numerical results are presented.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Phase changeNon-local boundary conditionStefan-Boltzmann radiation conditionAxisymmetric enclosureFinite elementsNumerical simulation120602 Ecuaciones diferencialesjournal article10.1016/j.finel.2005.08.0091872-6925open access