A-priori and a-posteriori error analysis for a family of Reissner-Mindlin plate elements

L. Beirão Da Veiga; C. Chinosi; C. Lovadina; R. Stenberg

doi:10.1007/s10543-008-0175-y

A-priori and a-posteriori error analysis for a family of Reissner-Mindlin plate elements

L. Beirão Da Veiga
, C. Chinosi
, C. Lovadina
, R. Stenberg

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

Abstract

A family of plate elements introduced by Falk and Tu [25] is considered. A new stability and a-priori error analysis is given. In addition, an a-posteriori error estimate is proved. The analysis is confirmed by numerical benchmark computations.

Original language	English
Pages (from-to)	189-213
Number of pages	25
Journal	BIT Numerical Mathematics
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/s10543-008-0175-y
Publication status	Published - Jun 2008
Externally published	Yes

Keywords

A-posteriori error analysis
A-priori error analysis
Finite element methods
Reissner-Mindlin plates

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10.1007/s10543-008-0175-y

Cite this

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title = "A-priori and a-posteriori error analysis for a family of Reissner-Mindlin plate elements",

abstract = "A family of plate elements introduced by Falk and Tu [25] is considered. A new stability and a-priori error analysis is given. In addition, an a-posteriori error estimate is proved. The analysis is confirmed by numerical benchmark computations.",

keywords = "A-posteriori error analysis, A-priori error analysis, Finite element methods, Reissner-Mindlin plates",

author = "\{Da Veiga\}, \{L. Beir{\~a}o\} and C. Chinosi and C. Lovadina and R. Stenberg",

year = "2008",

month = jun,

doi = "10.1007/s10543-008-0175-y",

language = "English",

volume = "48",

pages = "189--213",

journal = "BIT Numerical Mathematics",

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T1 - A-priori and a-posteriori error analysis for a family of Reissner-Mindlin plate elements

AU - Da Veiga, L. Beirão

AU - Chinosi, C.

AU - Lovadina, C.

AU - Stenberg, R.

PY - 2008/6

Y1 - 2008/6

N2 - A family of plate elements introduced by Falk and Tu [25] is considered. A new stability and a-priori error analysis is given. In addition, an a-posteriori error estimate is proved. The analysis is confirmed by numerical benchmark computations.

AB - A family of plate elements introduced by Falk and Tu [25] is considered. A new stability and a-priori error analysis is given. In addition, an a-posteriori error estimate is proved. The analysis is confirmed by numerical benchmark computations.

KW - A-posteriori error analysis

KW - A-priori error analysis

KW - Finite element methods

KW - Reissner-Mindlin plates

UR - https://www.scopus.com/pages/publications/49749100403

U2 - 10.1007/s10543-008-0175-y

DO - 10.1007/s10543-008-0175-y

M3 - Article

SN - 0006-3835

VL - 48

SP - 189

EP - 213

JO - BIT Numerical Mathematics

JF - BIT Numerical Mathematics

IS - 2

ER -

A-priori and a-posteriori error analysis for a family of Reissner-Mindlin plate elements

Abstract

Keywords

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