Numerical experiments with multilevel subdomain decomposition method. (English) Zbl 1037.80005

Laitinen, E.; Lapin, A. V.; Pieskä, J.

Lobachevskii J. Math. 13, 67-80 (2003).

The authors consider the two-dimensional continuous casting problem in thermodynamically homogeneous and isotropic steel. The heat capacity and thermal conductivity are temperature dependent functions (mainly in piecewise form). It is presumed that the casting speed is the constant given in advance. A very assiduous and detailed numerical study of this problem is established and applied.

Reviewer: B. D. Vujanović (Novi Sad)

MSC:

80A22	Stefan problems, phase changes, etc.
80M25	Other numerical methods (thermodynamics) (MSC2010)
80M10	Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer
65N55	Multigrid methods; domain decomposition for boundary value problems involving PDEs

Keywords:

Stefan problem; continuous casting process; finite element method; predictor-corrector scheme; domain decomposition