E. Laitinen, A. V. Lapin, J. Pieskä, “Numerical experiments with multilevel Subdomain decomposition method”, Lobachevskii J. Math., 13 (2003), 67

Lobachevskii Journal of Mathematics

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Lobachevskii Journal of Mathematics, 2003, Volume 13, Pages 67–80 (Mi ljm101)

Numerical experiments with multilevel Subdomain decomposition method

E. Laitinen^a, A. V. Lapin^b, J. Pieskä^a

^a Department of Mathematical Sciences, University of Oulu
^b Kazan State University, The Faculty of Computer Science and Cybernetics

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Abstract: 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, domain decomposition.

Received: 15.10.2003

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Language: English

Citation: E. Laitinen, A. V. Lapin, J. Pieskä, “Numerical experiments with multilevel Subdomain decomposition method”, Lobachevskii J. Math., 13 (2003), 67–80

Citation in format AMSBIB

\Bibitem{LaiLapPie03}

\by E.~Laitinen, A.~V.~Lapin, J.~Piesk\"a

\paper Numerical experiments with multilevel Subdomain decomposition method

\jour Lobachevskii J. Math.

\yr 2003

\vol 13

\pages 67--80

\mathnet{http://mi.mathnet.ru/ljm101}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2025561}

\zmath{https://zbmath.org/?q=an:1037.80005}

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Citing articles in Google Scholar: Russian citations, English citations
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