Étude d'un nouvel élément fini mixte permettant la condensation de masse

Éliane Bécache; Patrick Joly; Chrysoula Tsogka

doi:10.1016/s0764-4442(99)80414-5

Étude d'un nouvel élément fini mixte permettant la condensation de masse

Translated title of the contribution: Construction and analysis of a new mixed finite element allowing mass lumping

Éliane Bécache
, Patrick Joly
, Chrysoula Tsogka

INRIA Institut National de Recherche en Informatique et en Automatique

Research output: Contribution to journal › Article › peer-review

Abstract

We present the construction and the analysis of a new family of quadrangular (2D) or cubic (3D) mixed finite elements, leading to an explicit scheme (mass lumping) for the approximation of the acoustic or elastic wave equations, including the case of an anisotropic medium. Non classical error estimates are given for this new element.

Translated title of the contribution	Construction and analysis of a new mixed finite element allowing mass lumping
Original language	French
Pages (from-to)	1281-1286
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	324
Issue number	11
DOIs	https://doi.org/10.1016/s0764-4442(99)80414-5
Publication status	Published - 1 Jan 1997

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abstract = "We present the construction and the analysis of a new family of quadrangular (2D) or cubic (3D) mixed finite elements, leading to an explicit scheme (mass lumping) for the approximation of the acoustic or elastic wave equations, including the case of an anisotropic medium. Non classical error estimates are given for this new element.",

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N2 - We present the construction and the analysis of a new family of quadrangular (2D) or cubic (3D) mixed finite elements, leading to an explicit scheme (mass lumping) for the approximation of the acoustic or elastic wave equations, including the case of an anisotropic medium. Non classical error estimates are given for this new element.

AB - We present the construction and the analysis of a new family of quadrangular (2D) or cubic (3D) mixed finite elements, leading to an explicit scheme (mass lumping) for the approximation of the acoustic or elastic wave equations, including the case of an anisotropic medium. Non classical error estimates are given for this new element.

UR - https://www.scopus.com/pages/publications/0031161710

U2 - 10.1016/s0764-4442(99)80414-5

DO - 10.1016/s0764-4442(99)80414-5

M3 - Article

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SN - 0764-4442

VL - 324

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 11

ER -

Étude d'un nouvel élément fini mixte permettant la condensation de masse

Abstract

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