A new Cement to Glue non-conforming Grids with Robin interface conditions: the finite element case - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2007

A new Cement to Glue non-conforming Grids with Robin interface conditions: the finite element case

Résumé

We design and analyze a new non-conforming domain decomposition method based on Schwarz type approaches that allows for the use of Robin interface conditions on non-conforming grids. The method is proven to be well posed, and the iterative solver to converge. The error analysis is performed in 2D piecewise polynomials of low and high order and extended in 3D for $P_1$ elements. Numerical results in 2D illustrate the new method.
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Dates et versions

hal-00144262 , version 1 (02-05-2007)

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Caroline Japhet, Yvon Maday, Frédéric Nataf. A new Cement to Glue non-conforming Grids with Robin interface conditions: the finite element case. 2007. ⟨hal-00144262⟩
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