Performance assessment of the augmented finite element method for the modeling of weak discontinuities
| dc.rights.license | open | en_US |
| dc.contributor.author | ESSONGUE, Simon | |
| hal.structure.identifier | Laboratoire des Composites Thermostructuraux [LCTS] | |
| dc.contributor.author | COUÉGNAT, Guillaume | |
| hal.structure.identifier | Laboratoire des Composites Thermostructuraux [LCTS] | |
| dc.contributor.author | MARTIN, Eric | |
| dc.date.accessioned | 2021-12-07T15:17:29Z | |
| dc.date.available | 2021-12-07T15:17:29Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 0029-5981, 1097-0207 | en_US |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/124049 | |
| dc.description.abstractEn | This article 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 nonconforming FEM. It is shown that the AFEM converges with an error of (h0.5) in the energy norm. The nonconforming FEM shares the same propertywhile the FEM converges at (h). Yet, the AFEM is on par with the FEM forcertain homogenization problems. | |
| dc.language.iso | EN | en_US |
| dc.subject.en | augmented finite element method | |
| dc.subject.en | embedded discontinuities | |
| dc.subject.en | embedded finite elements | |
| dc.subject.en | weak discontinuities | |
| dc.title.en | Performance assessment of the augmented finite element method for the modeling of weak discontinuities | |
| dc.title.alternative | Int J Numer Methods Eng | en_US |
| dc.type | Article de revue | en_US |
| dc.identifier.doi | 10.1002/nme.6530 | en_US |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph] | en_US |
| bordeaux.journal | International Journal for Numerical Methods in Engineering | en_US |
| bordeaux.page | 172-189 | en_US |
| bordeaux.volume | 122 | en_US |
| bordeaux.hal.laboratories | Laboratoire des Composites Thermo Structuraux (LCTS) - UMR 5801 | en_US |
| bordeaux.issue | 1 | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.institution | CEA | en_US |
| bordeaux.peerReviewed | oui | en_US |
| bordeaux.inpress | non | en_US |
| hal.identifier | hal-03469369 | |
| hal.version | 1 | |
| hal.date.transferred | 2021-12-07T15:17:30Z | |
| hal.export | true | |
| 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=2021&rft.volume=122&rft.issue=1&rft.spage=172-189&rft.epage=172-189&rft.eissn=0029-5981,%201097-0207&rft.issn=0029-5981,%201097-0207&rft.au=ESSONGUE,%20Simon&COU%C3%89GNAT,%20Guillaume&MARTIN,%20Eric&rft.genre=article |
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