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Performance assessment of the augmented finite element method for the modeling of weak discontinuities
| dc.rights.license | open | en_US |
| hal.structure.identifier | Institut de Mécanique et d'Ingénierie [I2M] | |
| dc.contributor.author | ESSONGUE BOUSSOUGOU, Simon | |
| hal.structure.identifier | Laboratoire des Composites Thermostructuraux [LCTS] | |
| dc.contributor.author | COUEGNAT, Guillaume | |
| hal.structure.identifier | Laboratoire des Composites Thermostructuraux [LCTS] | |
| dc.contributor.author | MARTIN, Eric | |
| dc.date.accessioned | 2023-10-09T15:36:13Z | |
| dc.date.available | 2023-10-09T15:36:13Z | |
| dc.date.issued | 2020-08-25 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/184369 | |
| dc.description.abstractEn | This paper investigates the convergence properties of the augmented finite element method (AFEM). The AFEM is here used to model weak discontinuities independently of the underlying mesh. One noticeable advantage of the AFEM over other partition of unity methods is that it does not introduce additional global unknowns. Numerical 2D experiments illustrate the performance of the method and draw comparisons with the finite element method (FEM) and the non conforming FEM. It is shown that the AFEM converges with an error of O(ℎ0.5) in the energy norm. The non-conforming FEM shares the same property while the FEM converges at O(ℎ). Yet, the AFEM is on par with the FEM for certain homogenization problems. | |
| dc.language.iso | EN | en_US |
| dc.subject.en | Embedded discontinuities | |
| dc.subject.en | Embedded finite elements | |
| dc.subject.en | Weak discontinuities | |
| dc.subject.en | Augmented finite element method | |
| dc.title.en | Performance assessment of the augmented finite element method for the modeling of weak discontinuities | |
| dc.type | Article de revue | en_US |
| dc.subject.hal | Sciences de l'ingénieur [physics] | en_US |
| bordeaux.journal | International Journal for Numerical Methods in Engineering | en_US |
| bordeaux.hal.laboratories | I2M | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | Bordeaux INP | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.institution | INRAE | en_US |
| bordeaux.institution | Arts et Métiers | en_US |
| bordeaux.peerReviewed | oui | en_US |
| bordeaux.inpress | non | en_US |
| hal.popular | non | en_US |
| hal.audience | Internationale | en_US |
| hal.export | false | |
| workflow.import.source | pubmed | |
| dc.rights.cc | Pas de Licence CC | en_US |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20for%20Numerical%20Methods%20in%20Engineering&rft.date=2020-08-25&rft.au=ESSONGUE%20BOUSSOUGOU,%20Simon&COUEGNAT,%20Guillaume&MARTIN,%20Eric&rft.genre=article |
