Geodesic
Numerical experiments with multilevel Subdomain decomposition method
Lobachevskii journal of mathematics, Tome 13 (2003), pp. 67-80

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In this paper we present a new numerical approach to solve the continuous casting problem. The main tool is to use so-called IPEC method and DDM similar to [6] with multilevel domain decomposition. On the subdomains we use the multidecomposition of the subdomains. The IPEC is used both in the whole calculation domain and inside the subdomains. Calculation algorithm is presented and numerically tested. Several conclusions are made and discussed.
Keywords: Stefan problem, continuous casting process, finite element method, predictor-corrector scheme
Mots-clés : domain decomposition. 
@article{LJM_2003_13_a7,
     author = {E. Laitinen and A. V. Lapin and J. Piesk\"a},
     title = {Numerical experiments with multilevel {Subdomain} decomposition method},
     journal = {Lobachevskii journal of mathematics},
     pages = {67--80},
     publisher = {mathdoc},
     volume = {13},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2003_13_a7/}
}
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E. Laitinen; A. V. Lapin; J. Pieskä. Numerical experiments with multilevel Subdomain decomposition method. Lobachevskii journal of mathematics, Tome 13 (2003), pp. 67-80. http://geodesic.mathdoc.fr/item/LJM_2003_13_a7/