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A New Interface Cement Equilibrated Mortar (NICEM) method with Robin interface conditions: the P1 finite element case

Caroline Japhet 1, 2 Yvon Maday 3, 4, 5 Frédéric Nataf 3
1 POMDAPI - Environmental Modeling, Optimization and Programming Models
Inria Paris-Rocquencourt
2 LAGA - Laboratoire Analyse, Géométrie et Applications
3 LJLL - Laboratoire Jacques-Louis Lions
4 DAM - Division of Applied Mathematics
5 IUF - Institut Universitaire de France
Abstract : We design and analyze a new non-conforming domain decomposition method, named the NICEM 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. The error analysis is performed in 2D and in 3D for P1 elements. Numerical results in 2D illustrate the new method.
Keywords : NICEM method Optimized Schwarz domain decomposition Robin transmission conditions finite element methods non-conforming grids error analysis NICEM method.
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Journal articles
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https://hal.inria.fr/hal-00933608
Contributor : Caroline Japhet <>
Submitted on : Monday, January 20, 2014 - 5:16:29 PM
Last modification on : Thursday, December 10, 2020 - 12:33:37 PM

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UNIV-PARIS8 | CNRS | INRIA | UNIV-PARIS13 | INSMI | UPMC | LJLL | UNIV-PARIS7 | TDS-MACS | USPC | SORBONNE-UNIVERSITE | GALILE | SU-SCIENCES | UNIV-PARIS-LUMIERES | UNIV-PARIS | LAGA | SU-TI

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Caroline Japhet, Yvon Maday, Frédéric Nataf. A New Interface Cement Equilibrated Mortar (NICEM) method with Robin interface conditions: the P1 finite element case. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2013, 23 (12), pp.2253-2292. ⟨10.1142/S0218202513500310⟩. ⟨hal-00933608⟩

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