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Improved Interface Conditions for 2 D Domain Decomposition with Corners: Numerical Applications
Journal article   Peer reviewed

Improved Interface Conditions for 2 D Domain Decomposition with Corners: Numerical Applications

Chokri Chniti, Frederic Nataf and Francis Nier
Journal of scientific computing, Vol.38(2), pp.207-228
01/02/2009
DOI: https://doi.org/10.1007/s10915-008-9234-4

Abstract

Computation Corners Domain decomposition Domain decomposition methods Optimization Singularities
This article deals with a local improvement of domain decomposition methods for 2-dimensional elliptic problems for which either the geometry or the domain decomposition presents conical singularities. After explaining the main results of the theoretical analysis carried out in Chniti et al. (Calcolo 45, 2008), the numerical experiments presented in this article confirm the optimality properties of the new interface conditions.

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