Robin Schwarz algorithm for the NICEM Method: the Pq finite element case

Abstract : In Gander et al. [2004] we proposed a new non-conforming domain decomposition paradigm, the New Interface Cement Equilibrated Mortar (NICEM) method, based on Schwarz type methods that allows for the use of Robin interface conditions on non-conforming grids. The error analysis was done for P1 finite elements, in 2D and 3D. In this paper, we provide new numerical analysis results that allow to extend this error analysis in 2D for piecewise polynomials of higher order and also prove the convergence of the iterative algorithm in all these cases.
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https://hal.inria.fr/hal-00939352
Contributor : Caroline Japhet <>
Submitted on : Thursday, January 30, 2014 - 3:54:19 PM
Last modification on : Wednesday, November 20, 2019 - 2:23:17 AM
Long-term archiving on : Thursday, May 1, 2014 - 7:05:11 AM

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  • HAL Id : hal-00939352, version 1
  • ARXIV : 1401.7943

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Caroline Japhet, Yvon Maday, Frédéric Nataf. Robin Schwarz algorithm for the NICEM Method: the Pq finite element case. 2014. ⟨hal-00939352⟩

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