Diffusion Problems in Multi-layer Media with Nonlinear Interface Contact Resistance
| hal.structure.identifier | Laboratoire de Mathématiques Appliquées de Compiègne [LMAC] | |
| dc.contributor.author | BEN BELGACEM, F | |
| hal.structure.identifier | Ecole Nationale d'Ingénieurs de Tunis [ENIT] | |
| dc.contributor.author | JELASSI, Faten | |
| hal.structure.identifier | Institut de Mécanique et d'Ingénierie de Bordeaux [I2M] | |
| dc.contributor.author | MINT BRAHIM, Maimouna | |
| dc.date.accessioned | 2021-05-14T09:45:09Z | |
| dc.date.available | 2021-05-14T09:45:09Z | |
| dc.date.created | 2017-07-11 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/76924 | |
| dc.description.abstractEn | The purpose is a finite element approximation of the heat diffusion problem in composite media, with non-linear contactresistance at the interfaces. As already explained in [Journal of Scientific Computing, {\bf 63}, 478-501(2015)], hybrid dual formulations are well fitted to complicated composite geometries and provide tractable approaches to variationally express the jumps of the temperature. The finite elements spaces are standard. Interface contributions are added to the variational problem to account for the contact resistance. This is an important advantage for computing codes developers. We undertake the analysis of the non-linear heat problem for a large range of contact resistance and we investigate its discretization by hybrid dual finite element methods. Numerical experiments are presented at the end to support the theoreticalresults. | |
| dc.language.iso | en | |
| dc.title.en | Diffusion Problems in Multi-layer Media with Nonlinear Interface Contact Resistance | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| hal.identifier | hal-01800481 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01800481v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BEN%20BELGACEM,%20F&JELASSI,%20Faten&MINT%20BRAHIM,%20Maimouna&rft.genre=preprint |
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