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Higher-Order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements
| hal.structure.identifier | Propagation des Ondes : Étude Mathématique et Simulation [POEMS] | |
| dc.contributor.author | BERGOT, Morgane | |
| hal.structure.identifier | Propagation des Ondes : Étude Mathématique et Simulation [POEMS] | |
| dc.contributor.author | COHEN, Gary | |
| hal.structure.identifier | Propagation des Ondes : Étude Mathématique et Simulation [POEMS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DURUFLÉ, Marc | |
| dc.date.accessioned | 2024-04-04T02:29:27Z | |
| dc.date.available | 2024-04-04T02:29:27Z | |
| dc.date.created | 2009 | |
| dc.date.issued | 2010-03 | |
| dc.identifier.issn | 0885-7474 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190174 | |
| dc.description.abstractEn | We provide a comprehensive study of arbitrarily high-order finite elements defined on pyramids. We propose a new family of high-order nodal pyramidal finite element which can be used in hybrid meshes which include hexahedra, tetrahedra, wedges and pyramids. Finite elements matrices can be evaluated through approximate integration, and we show that the order of convergence of the method is conserved. Numerical results demonstrate the efficiency of hybrid meshes compared to pure tetrahedral meshes or hexahedral meshes obtained by splitting tetrahedra into hexahedra. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | pyramidal element | |
| dc.subject.en | higher-order finite element | |
| dc.subject.en | hybrid mesh | |
| dc.subject.en | conformal mesh | |
| dc.subject.en | continuous finite element | |
| dc.subject.en | discontinuous Galerkin method | |
| dc.subject.en | error estimates | |
| dc.subject.en | quadrature formula | |
| dc.title.en | Higher-Order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10915-009-9334-9 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Scientific Computing | |
| bordeaux.page | 345--381 | |
| bordeaux.volume | 42 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00454261 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00454261v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Scientific%20Computing&rft.date=2010-03&rft.volume=42&rft.issue=3&rft.spage=345--381&rft.epage=345--381&rft.eissn=0885-7474&rft.issn=0885-7474&rft.au=BERGOT,%20Morgane&COHEN,%20Gary&DURUFL%C3%89,%20Marc&rft.genre=article |
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