A New Interface Cement Equilibrated Mortar (NICEM) method with Robin interface conditions: the P1 finite element case - Archive ouverte HAL Access content directly
Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2013

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

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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.

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Mathematics [math] Numerical Analysis [math.NA]

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https://hal.inria.fr/hal-00933608

Submitted on : Monday, January 20, 2014-5:16:29 PM

Last modification on : Friday, November 18, 2022-9:23:56 AM

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hal-00933608 , version 1 (20-01-2014)

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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, 2013, 23 (12), pp.2253-2292. ⟨10.1142/S0218202513500310⟩. ⟨hal-00933608⟩

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