On the Schwarz algorithms for the elliptic exterior boundary value problems

Faker Ben Belgacem; Miche Fournié; Nabil Gmati; Faten Jelassi

Displaying similar documents to “On the Schwarz algorithms for the elliptic exterior boundary value problems”

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...

Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law

Guy Bayada, Jalila Sabil, Taoufik Sassi (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper, the convergence of a Neumann-Dirichlet algorithm to approximate Coulomb's contact problem between two elastic bodies is proved in a continuous setting. In this algorithm, the natural interface between the two bodies is retained as a decomposition zone.

Diffusion and propagation problems in some ramified domains with a fractal boundary

Yves Achdou, Christophe Sabot, Nicoletta Tchou (2006)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper is devoted to some elliptic boundary value problems in a self-similar ramified domain of $ℝ^{2}$ with a fractal boundary. Both the Laplace and Helmholtz equations are studied. A generalized Neumann boundary condition is imposed on the fractal boundary. Sobolev spaces on this domain are studied. In particular, extension and trace results are obtained. These results enable the investigation of the variational formulation of the above mentioned boundary value problems. Next, for...