Data di Pubblicazione:
1999
Citazione:
Error estimates for semi-discrete dendritic growth / A. Veeser. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - 1:2(1999), pp. 227-255. [10.4171/IFB/10]
Abstract:
Semi-discrete approximations to a mathematical model for 2-dimensional dendritic growth are analyzed. The model is a Stefan problem with interfacial structure. The semi-discrete problem uses a parametrization for the free boundary and finite elements in space. The main results are a priori error estimates for the temperature field and the parametrization of the free boundary. The optimality of their order is discussed. Further error estimates concern approximations to relevant geometric (e.g. curvature) and measuring quantities.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
finite element methods, a priori error estimates, free boundary problems, Stefan problem with surface tension and kinetic undercooling, dendritic growth
Elenco autori:
A. Veeser
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