Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
567800 | Advances in Engineering Software | 2007 | 6 Pages |
Abstract
This paper concerns an adaptive finite element method for the Stefan one-phase problem. We derive a parabolic variational inequality using the Duvaut transformation. In each time-step we consider an adaptive algorithm based on a combination of the Uzawa method associated with the corresponding multivalued operator and a convergent adaptive method for the linear problem. We justify the convergence of the method. As an application we model an endoglacial conduit in which a phase change phenomenon takes place.
Related Topics
Physical Sciences and Engineering
Computer Science
Software
Authors
F.A. Pérez, L. Ferragut, J.M. Cascón,