Higher-Order Discontinuous Galerkin Method for Pyramidal Elements using Orthogonal Bases
| hal.structure.identifier | Propagation des Ondes : Étude Mathématique et Simulation [POEMS] | |
| dc.contributor.author | BERGOT, Morgane | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| dc.contributor.author | DURUFLÉ, Marc | |
| dc.date.accessioned | 2024-04-04T02:25:59Z | |
| dc.date.available | 2024-04-04T02:25:59Z | |
| dc.date.created | 2010 | |
| dc.date.issued | 2013-01 | |
| dc.identifier.issn | 0749-159X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189919 | |
| dc.description.abstractEn | We study arbitrarily high-order finite elements defined on pyramids on discontinuous Galerkin methods. We propose a new family of high-order pyramidal finite element using orthogonal basis functions which can be used in hybrid meshes including hexahedra, tetrahedra, wedges and pyramids. We perform a comparison between these orthogonal functions and nodal functions for affine and non-affine elements. Different strategies for the inversion of mass matrix are also considered and discussed. Numerical experiments are conducted for 3-D Maxwell's equations. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| 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 | Discontinuous Galerkin method | |
| dc.subject.en | Orthogonal basis functions | |
| dc.title.en | Higher-Order Discontinuous Galerkin Method for Pyramidal Elements using Orthogonal Bases | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1002/num.21703 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Numerical Methods for Partial Differential Equations | |
| bordeaux.page | 144-169 | |
| bordeaux.volume | 29 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00547319 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00547319v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Numerical%20Methods%20for%20Partial%20Differential%20Equations&rft.date=2013-01&rft.volume=29&rft.issue=1&rft.spage=144-169&rft.epage=144-169&rft.eissn=0749-159X&rft.issn=0749-159X&rft.au=BERGOT,%20Morgane&DURUFL%C3%89,%20Marc&rft.genre=article |
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