Estimations optimales de consistance pour les éléments de coques généraux

Dominique Chapelle; Klaus Jürgen Bathe

doi:10.1016/S0764-4442(01)01940-1

Estimations optimales de consistance pour les éléments de coques généraux

Translated title of the contribution: Optimal consistency errors for general shell elements

Dominique Chapelle
, Klaus Jürgen Bathe

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

Abstract

We obtain estimates for the consistency errors arising in general shell element procedures, which are widely used in engineering practice. These estimates improve a previous result by the same authors. Moreover, numerical experiments indicate that these new estimates are optimal. Further, we introduce a modified procedure for which nominal convergence is recovered. These results are of much practical significance.

Translated title of the contribution	Optimal consistency errors for general shell elements
Original language	French
Pages (from-to)	771-776
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	8
DOIs	https://doi.org/10.1016/S0764-4442(01)01940-1
Publication status	Published - 15 Apr 2001
Externally published	Yes

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10.1016/S0764-4442(01)01940-1

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title = "Estimations optimales de consistance pour les {\'e}l{\'e}ments de coques g{\'e}n{\'e}raux",

abstract = "We obtain estimates for the consistency errors arising in general shell element procedures, which are widely used in engineering practice. These estimates improve a previous result by the same authors. Moreover, numerical experiments indicate that these new estimates are optimal. Further, we introduce a modified procedure for which nominal convergence is recovered. These results are of much practical significance.",

author = "Dominique Chapelle and Bathe, \{Klaus J{\"u}rgen\}",

year = "2001",

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day = "15",

doi = "10.1016/S0764-4442(01)01940-1",

language = "Fran{\c c}ais",

volume = "332",

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journal = "Comptes Rendus de l'Academie des Sciences - Series I: Mathematics",

issn = "0764-4442",

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T1 - Estimations optimales de consistance pour les éléments de coques généraux

AU - Chapelle, Dominique

AU - Bathe, Klaus Jürgen

PY - 2001/4/15

Y1 - 2001/4/15

N2 - We obtain estimates for the consistency errors arising in general shell element procedures, which are widely used in engineering practice. These estimates improve a previous result by the same authors. Moreover, numerical experiments indicate that these new estimates are optimal. Further, we introduce a modified procedure for which nominal convergence is recovered. These results are of much practical significance.

AB - We obtain estimates for the consistency errors arising in general shell element procedures, which are widely used in engineering practice. These estimates improve a previous result by the same authors. Moreover, numerical experiments indicate that these new estimates are optimal. Further, we introduce a modified procedure for which nominal convergence is recovered. These results are of much practical significance.

U2 - 10.1016/S0764-4442(01)01940-1

DO - 10.1016/S0764-4442(01)01940-1

M3 - Article

AN - SCOPUS:0041869134

SN - 0764-4442

VL - 332

SP - 771

EP - 776

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

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

IS - 8

ER -

Estimations optimales de consistance pour les éléments de coques généraux

Abstract

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