An eigenvalue problem for elliptic systems.
Squassina, Marco (2000)
The New York Journal of Mathematics [electronic only]
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Squassina, Marco (2000)
The New York Journal of Mathematics [electronic only]
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Minh-Binh Tran (2014)
Open Mathematics
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In this paper, we introduce a new approach for the convergence problem of optimized Schwarz methods by studying a generalization of these methods for a semilinear elliptic equation. We study the behavior of the algorithm when the overlapping length is large.
V.Lj. Kocic (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Toyohiko Aiki, Hitoshi Imai (2000)
Czechoslovak Mathematical Journal
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Adimurthi (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marhoune, A.L., Lakhal, F. (2009)
Journal of Applied Mathematics and Stochastic Analysis
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Goard, Joanna (2006)
Journal of Applied Mathematics and Decision Sciences
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Marco Squassina (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Temur A. Jangveladze, Zurab V. Kiguradze (2010)
Applications of Mathematics
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The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions...