Displaying similar documents to “Solving a system of second order obstacle problems by a modified decomposition method.”

On the Schwarz algorithms for the Elliptic Exterior Boundary Value Problems

Faker Ben Belgacem, Michel Fournié, Nabil Gmati, Faten Jelassi (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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Tuning the alternating Schwarz method to the exterior problems is the subject of this paper. We present the original algorithm and we propose a modification of it, so that the solution of the subproblem involving the condition at infinity has an explicit integral representation formulas while the solution of the other subproblem, set in a bounded domain, is approximated by classical variational methods. We investigate many of the advantages of the new Schwarz approach: a geometrical...